Environmental History free essay sample

Free Essays on Great Gatsby Essay

The Great Gatsby Style Analysis Essay At the point when Nick Carraway goes toward the east the main thing that he finds entertaining is Jay Gatsby. Gatsby has just a single objective that he needs to accomplish in his life; that objective is to get Daisy, who is Nick’s cousin, to adore him as she did before he left for marine obligation. Gatsby portrays his encounters with Daisy to Nick as one of his best and reveals to him that he couldn't want anything more than to have that back in his life. This makes a psychological picture in Nick’s mind and constrains him to consider it widely. It even goes the extent that Nick dreaming about the excellent relationship that Gatsby and Daisy once had. He at first builds up a delightful tone as he depicts their sort and adoring relationship. Notwithstanding, as he comes nearer to the truth he faces a lot of disarray and questions their uneven relationship. He needs the peruser to feel the sympathy and a feeling of disarray simultaneously. The connection among Daisy and Gatsby is far fetched and has a lot of disarray. It is loaded with â€Å"mysterious excitement.† While they do appear to have some empathy towards one another, Daisy is by all accounts increasingly worried about Gatsby’s past societal position. Gatsby then again, has genuine romance for Daisy and it is his long lasting dream to value her eternity. There is â€Å"darkness† in their relationship as Daisy doesn't have any feeling of respect or disgrace. She is an exceptionally befuddled individual herself as her significant other is undermining her and is constantly mishandling her, yet she despite everything sides with him and has no issue being tormented by him for an incredible remainder. Gatsby himself has been â€Å"confused and disordered† since Daisy left him. He constantly ponders the past and attempts to make it return yet is ineffective. He has committed as long as he can remember to Daisy’s debased love. The re lationship has pulverized Gatsby’s life, yet in addition has caused significant interruptions in Daisy’s individual life. The experience and love that Daisy and Ga... Free Essays on Great Gatsby Essay Free Essays on Great Gatsby Essay The Great Gatsby Style Analysis Essay At the point when Nick Carraway goes toward the east the main thing that he finds interesting is Jay Gatsby. Gatsby has just a single objective that he needs to accomplish in his life; that objective is to get Daisy, who is Nick’s cousin, to adore him as she did before he left for marine obligation. Gatsby portrays his encounters with Daisy to Nick as one of his best and discloses to him that he couldn't want anything more than to have that back in his life. This makes a psychological picture in Nick’s mind and forces him to consider it broadly. It even goes the extent that Nick dreaming about the delightful relationship that Gatsby and Daisy once had. He at first builds up a lovely tone as he portrays their sort and cherishing relationship. Be that as it may, as he comes nearer to the truth he faces a lot of disarray and questions their uneven relationship. He needs the peruser to feel the empathy and a feeling of disarray simultaneously. The connection among Daisy and Gatsby is dicey and has a lot of disarray. It is brimming with â€Å"mysterious excitement.† While they do appear to have some sympathy towards one another, Daisy is by all accounts increasingly worried about Gatsby’s past economic wellbeing. Gatsby then again, has genuine romance for Daisy and it is his deep rooted dream to treasure her eternity. There is â€Å"darkness† in their relationship as Daisy doesn't have any feeling of pride or disgrace. She is a confounded individual herself as her better half is undermining her and is constantly manhandling her, yet she despite everything sides with him and has no issue being tormented by him for an incredible remainder. Gatsby himself has been â€Å"confused and disordered† since Daisy left him. He ceaselessly considers the past and attempts to make it return however is fruitless. He has committed as long as he can remember to Daisy’s sullied love. The relationship has de vastated Gatsby’s life, yet in addition has caused significant disturbances in Daisy’s individual life. The experience and love that Daisy and Ga...

Project Management 1 Example

Project Management 1 Example Project Management 1 â€" Essay Example > PROJECT MANAGEMENTIntroductionModern businesses and organizations are finding it imperative to establish a comprehensive and effective project management structures, systems and department to facilitate the strategizing, managing, controlling, monitoring and safeguarding of an organization’s available resources in order to ensure anticipated goals, outcomes and objectives of set projects are effectively and, efficiently completed (Orr, 2004). This is so in any field and industry (Lock, 2007). The main impediment to effective project management is the inability to attain the engineering project objectives whilst putting into considerations the preconceived project limitations and inability to effectively allot and incorporate project inputs that are essential to achieve the pre-defined goals (Burnett, 1998). Basic limitations to a project include time, funding and scope (Kerzner, 2009). This report will candidly evaluate and portray a Project Initiation Document that develops a s et of rules between Lancashire Fire Rescue Service and other Services to encourage close working relations and agency interoperability while analyzing the use of theory in project management and problem-solving methods. Lancashire Fire and Rescue ServiceLancashire Fire and Rescue Service have its headquarters in Fulwood, Preston, England. The company serves a population of more than one million in Shire county of Lancashire (Lancashire Fire Rescue Service. 2010). It has 39 fire stations, 18 of which are whole time, 4 are day manned and 17 are retained with an employee base of more than 1500 (Lancashire Fire Rescue Service. 2010). Project Management Project Life Cycle: Mandate; this process is receipt of approval and consent from the sponsor to go ahead with the drafted project proposal. Initiation; this process of project management is critical since its poor implementation translates to failure to meet the requirements, goals and expectations of the organization. An effective initiation process plan should evaluate the needs of the organization in quantifiable objectives, analyze present operations of the organizations, conduct a financial appraisal on the benefits and costs of implementing the project, analyze the stakeholders to the project and establish the responsibilities, deliverables and planning of the project (Lock, 2007). Implementation; this process deals with executing the project plan as dictated at the initiation and planning process by synchronize human resources, stakeholders and other applicable resources and incorporating and carrying out the project activities (Orr, 2004). Handover; entails finalizing and closing the project and settling contractsProject Initiation DocumentAim: The main aim for this project is to develop a set of rules between Lancashire Fire Rescue Service and other Services to encourage close working relations and agency interoperability. Objectives (by using SWORT Analysis)To bring together all the Lancashire Fire Rescue Service managers and other Security and Safety Services such as the Police, Ambulances, council, water and electricity engineers among others, to develop  teamwork, by the year June 2011. This will be achieved by communicating the objectives to the concerned parties, developing and implementing policies, guidelines and regulations that various agencies will comply with and emphasizing the major benefits that will be, achieved once unity and agency interoperability is functional. There is need to establish the project oversight committee to co-ordinate, manage, implement and evaluate the project. To educate all the above mentioned stakeholders about the importance of working as a team and the need to work with other Agencies in Washington Hall, International  Fire Training  and Development Centre by February 2012 (Lock, 2007). This will be, achieved by facilitating seminars and conferences where concerned stakeholders will be able to voice their opinion, ideas and concerns. Moreover, they will be able to discuss what rules and standards that will apply and those that will not, by ensuring the rights, competitiveness and goals and objectives of various involved agencies/ parties and related sectors are not, compromised.

The Police Force Is Justified - 1068 Words

â€Å"A police force is a constituted body of persons empowered by the state to enforce the law, protect property, and limit civil disorder†. Or in layman’s terms, a body formed to serve and protect civilians. With the Ferguson incident of an African American boy getting shot by a white American police officer, it came to the limelight that how America’s police force has gone to the extent of acquiring military grade equipment, armor, gear .With sheer ignorance, unreasonable argument and lack of reliable citation sources, Fox News conveys how the militarization of the police force is justified. Ironically this militarization is supposedly necessary and justified, but in reality it only amplifies violence, distrust of police, and use of excessive force. Soon after the Michael Brown incident in Ferguson, Fox News channel during a segment of its ‘Fox and Friends’ had a panel discussion focusing on the ‘Militarization of Police’. The invited panel was made up of all white men namely- Jon Dietl (Fox News contributor), Bernie Kerik (former NYC Police Commissioner) and retired Nutley Police Commander Steven Rogers (Retd. Nutley Police Commander). The panelists spoke for the motion, defending the action taken by the police. In this segment the host and panelists were having a casual conversation on the given topic. Instead of bringing about a diverse panel with different points of view, Fox News had its panel only consisting of white Caucasian men with the same ideologies and thoughtShow MoreRelatedAllen V. the City of Oakland1266 Words   |  6 Pageslawsuits filed and won against the Oakland Police Department for police misconduct. Misconduct has always been an issue with law enforcement. Starting in the early years of law enforcement there were policies set to keep officers from committing these actions. In time, the policies have been changed, reconstructed, and updated to increase effectiveness and efficiency. To get a better view on how these policies are implemented, the actions of the police officers in Allen versus the city of OaklandRead MorePolice Officer s Use Of Deadly Force Against An Unarmed Teenager1249 Words   |  5 PagesBeginning in late summer, this country became bombarded with stories in the news about police officers involved in some types of controversy. The controversy that started it all was an incident that happened in Ferguson, Missouri. Since August, there has been much discussion and public debate over whether a police officer’s use of deadly force against an unarmed teenager was justified. On August 9, 2014 a young man named Michael Brown was shot and killed by Officer Darren Wilson after he was stoppedRead MorePolice Brutality And The Civil Rights Movement1400 Words   |  6 PagesOver the past 10 decades or more the United States has displayed a lot of police brutality and also racial profiling that leads to police brutality to American citizens. A police officer job are to serve and protect and enforce the law but in a lot cases from proven evidence it’s seems they shoot first and ask questions later. Americans are starting to feel that the police ar e scared of the citizens more than people are scared of them. Not every single cop in the world is bad or mean harm to peopleRead MorePublic Perception of the Police Essay1471 Words   |  6 Pagesand negative representations of police work. As a result, a complex relationship exists between media consumption and public attitudes towards the police. The purpose of this study is to test the impact that media consumption has on attitudes toward police misconduct. The research design proposed for use in this study would be the experimental design, a two-group, posttest-only, randomized experiment. Introduction The public impression of police use of force, as brutality, in modern day policingRead MoreThe Streetcar Killing Of Sammy Yatim1425 Words   |  6 PagesIntroduction Police institutions depend on being considered legitimate by the public in order to continue working for the public. However, with recent cases such as the streetcar killing of Sammy Yatim, the legitimacy of police has begun to be questioned. For the purpose of this essay, I will focus on how this case has brought forth conversations regarding police culture—including use of force and the visibility of police in the age of technology—and ultimately how this has shaped public perceptionRead MorePolice Brutality Of The United States1378 Words   |  6 Pagescases of police brutality. Police officers are faced with a lot of threatening situations every day. And sadly, the police have to rely on their instincts and hope for the best. They have the power to take anyone’s civil rights away and possibly even their own life. You must have responsibility in order to retain that kind of power. Much less, that much power. The use of excessive force may or may not be a big problem, but I think it should be viewed from everyone’s perspectives. Police brutalityRead MoreNew Jersey State On Use Of Excessive Force And Professional Standards Essay1655 Words   |  7 PagesNew Jersey State on Use of Excessive Force and Professional Standards There are several laws governing police misconduct as well as current laws pending. According to the State of New Jersey’s Internal Affairs Policy and Procedures enacted into law in 1978, agencies have a duty to monitor the behavior of their police officers for incidents of misconduct. When officers are found to have engaged in misconduct, agencies have an affirmative duty to correct the behavior. The courts have with increasingRead MorePolice Enforcement And Police Officers Essay1196 Words   |  5 Pages An integral training of today’s police officers duties is the physical skill of the application of use of force. This is needed skill requirement to detain and arrest a person who has committed a crime and resisting. Police officers must be trained to use force properly when the skill is required on a subject who is resisting police officers efforts to place them under arrest. This skill has the potential for the officer to exceed the needed amount of force to place them under arrest that can leadRead MorePolice Officers Have The California Penal Code 835a Under Their Disposal995 Words   |  4 PagesUse of force has been scrutinized even more recently due to the media. Recordings of officers using force (weather excessive or not) become uploaded to the web and many individuals quickly jump to conclusions. Police use of force is up to the discretion of each individual police officer, and with each action a multitude of consequences can occur. The public often gets enraged aft er a court justifies the use of force, but often individuals do not have the full facts or understand how the justice systemRead MorePolice Officers Have The California Penal Code 835a Under Their Disposal982 Words   |  4 PagesThe media has scrutinized the use of force even more recently. Recordings of officers using force (weather excessive or not) become uploaded to the web and many individuals quickly jump to conclusions. Police use of â€Å"force† is up to the discretion of each individual police officer, and with each action a multitude of consequences can occur. The public often gets enraged after a court justifies the use of force, but often individuals do not have the full facts or understand how the justice system

Health Concerns And Health Issues - 1025 Words

Health communication informs the consumer about health concerns and health issues. Social change and communication works hand in hand. Developing a dialogue in social change to help bridge the gaps due to lack of communication will be a positive step in better health care. â€Å"Health communication has much to celebrate and contribute. The field is gaining recognition in part because of its emphasis on combining theory and practice in understanding communication processes and changing human behaviors† (Parrott R. , 2004). I am passionate and committed for this cause as communication is one of the basic means of interaction in day to day life. I will address the lack of communication in health care, some of the downfalls as well as some solutions. As a professional agent of communication one must possess sustainable development and leadership skills to be open for change and new ideas. Being international, one must notice that as the world change, you have to evolve with the changes and be able to communicate effectively. We have to think about how sustainable we can be. Brundtland Report said Sustainable development is development that meets the needs of the present without compromising the ability of future generations to meet their own needs. It contains within it two key concepts: the concept of needs, in particular the essential needs of the world s poor, to which overriding priority should be given; and the idea of limitations imposed by the state of technology andShow MoreRelatedIdentification Of A Health Policy Issue / Concern3236 Words   |  13 PagesHealth Workforce Shortages Identification of a health policy issue/concern With the implementation of the Patient Affordable Care Act, it is estimated that 32-34 million previously uninsured Americans will have access to health insurance by 2015 (Kovner Knickman, 2011) (Hemphill, 2013). Additionally, those with preexisting conditions (asthma, diabetes, heart disease) will no longer be denied coverage or dropped from policies if they become sick. As a result, insurers will no longer be able toRead MorePublic Health Issues Are Concerns On How To Protect The1749 Words   |  7 PagesPublic health issues are concerns on how to protect the health of the people in society. Public health communities focus more attention on the victim who has health issues related to drug addictions, alcohol, and mental and physical problems. Public health issues are more concerned with the health consequences related to these addictions, abuse, and problems. Public health issues are focused on the type of care that is necessary to restore the victim to their healthy condition. Public health also focusesRead MorePolicy Position For Electronic Cigarettes Essay1453 Words   |  6 Pagesadvantages and disadvantages that have contributed to the numerous controversies they have generated. This has contributed to the emergence of the need for policy makers to establish a position for e-cigarettes in a public area. Evolution of the Issue Electronic cigarettes or e-cigarettes are battery-operated devices that are created to provide flavor, nicotine, and other chemicals. The device then converts the various chemicals into aerosol which is inhaled by users (â€Å"Electronic Cigarettes†,Read MoreIndia s Health Issues Of India1259 Words   |  6 Pageshas experienced positive progress. Despite the manufacturing success, India still faces major health issues. Some of the country’s primary health problems are malaria, malnutrition/over nutrition, and cardiovascular disease. These health concerns come from poor sanitation and fresh water in different locations in India, without the proper sanitation and preventive measures there will always be health issues among the country’s people. Before we get into our topics, let’s touch briefly on the overallRead MoreSimilarities Between Video 5 And Video 7 Essay1712 Words   |  7 PagesThere are many similarities and differences within the health care system, specifically when it comes to Electronic Health Records (EHR) and its privacy. According to the Centers for Medicare Medicaid Services, â€Å"an Electronic Health Record is an electronic version of a patient s medical history, that is maintained by the provider over time, and may include all of the key administrative clinical data relevant to that person s care under a particular provider, including demographics, progress notesRead MoreThe Shortcomings Of The Vertical Health Care Program1227 Words   |  5 PagesProfessor Robert McNeill BIO9034 June 4, 2016 The Inadequacies of the Vertical Health Care Program Considering all the health concerns that public health physicians must be cognizant of, why does a vertical public health program seem so attractive and interesting? A vertical public health program directs most of its expertise and resources from health organizations and concentrates it on a single health issue, typically eliminating a particular disease. The usual strengths of verticalRead MoreEffects Of Cocaine Dependence On Increased Crime Rates And Criminal Activity Essay1479 Words   |  6 PagesIncreased Health Risks The public health sector is concerned with this problem because it creates new health concerns and increases the overall costs of health care delivery. As evident in the analysis, cocaine dependence affects brain structure and operations, which in turn result in the emergence of new health risks among adolescent and adult populations. Health care providers are increasingly concerned about the effect of cocaine on an individual’s health and wellbeing. Apart from the health effectsRead MoreThe Program Offers Interventions At Multiple Stages Of Individuals1659 Words   |  7 Pagesof prison. Chapter 36 in the Race, Ethnicity, and Health book, Meredith Minkler defined community based participatory research as â€Å"systematic inquiry, with the participation of those affected by the problem, for the purposes of education and action or affecting social change.† These programs use aspects of CBPR and â€Å"cultural leverage.† Chapter 38 in the book, Fisher et. al de fined cultural leverage as â€Å"a focused strategy for improving the health of racial and ethnic communities by using their culturalRead MoreIt Is Never Too Late To Quit Smoking. Smoking Is A Habit1348 Words   |  6 Pagesexperiences the normal aging process, having some cognitive loss, wrinkles, yellowing of teeth, and a slower metabolism. However, smokers experience and age much faster than nonsmokers. Smokers often see far more complications than nonsmokers with their health. For those Americans who made the choice to smoke, they will witness a different aging process than nonsmokers. The aging process that smokers will experience will be wrinkles at a far younger age, as soon as 10 years after your first cigarette. ForRead MoreInfertility: A Growing Public Health Issue1029 Words   |  4 PagesInfertility as public Health Problem The consequences of infertility vary dramatically depending on many factors (social, cultural and religious).Unwanted infertility causes decreased levels of well-being, with more severe social, economic, and health consequences extremely common in the developing world. (1) The negative physical, emotional, and psychological health effects may not be easily seen or widely known, however they are widespread. The failure to recognize infertility as an issue with severe negative

Mr. Smith Goes to Washington Free Essays

Politics can be corrupt and extremely ugly. In Mr. Smith goes to Washington, Jefferson Smith is appointed as a new member of the senate. We will write a custom essay sample on Mr. Smith Goes to Washington or any similar topic only for you Order Now Jefferson Smith was too idealistic and naive to be a senator in American government during this time of corruption. Mr. Smith was too naive to survive as a senator during the time the movie â€Å"Mr. Smith Goes to Washington† took place. Mr. Smith’s naivete was seen in his proposal to start a national boys camp. After this proposal during the senate, false allegations towards Smith’s motives surfaced, and he was too idealistic to defend himself against the political machine that was accusing him of self-interest. Making matters worse, Senator Smith was a genuinely honest and simple-minded man, making it difficult for him to survive with his corrupt colleagues. Mr. Smith clearly showed his lack of government and knowledge of it. Jefferson Smith was a senator and did not even know how a bill becomes a law. Smith was like a fish out of water in the senate and needed a lot of help from his assistant Saunders. Senator Smith was not well educated and clearly not the right man for the job. But some might say that he was a weak hero in manners. Jefferson had potential in the government because of his integrity, care, and honesty. These are qualities that most senators were lacking and still are. Jefferson Smith was too idealistic and naive to be successful as a senator going up against a huge political machine. Smith lacks savvy and smoothness but overcomes his trials with persistence and dedication. How to cite Mr. Smith Goes to Washington, Papers

Mathematics of Investment Questionnaire Essay Example

Mathematics of Investment Questionnaire Essay John has $20,000 to invest. He invests part of his money at an annual interest rate of 6%, the rest at 9% annual rate. The return on these two investments over one year is $1,440. How much does he invest at each rate? Solution ? Paul made two investments totaling $15,000. The percentage return on the first investment was 7% annually, while the the percentage return on the second one was 10% annually. If the total return on the two investments over one year was $1,350, how much was invested at each rate? ? Ben invested $30,000, part of which at 5% annual interest rate, the rest at 9% annual interest rate. The interest earned from the investments was $2,100 at the end of one year. How much did he invest at each rate? Solution ? Jason invested $20,000 for one year, Part of his money was invested at an annual interest rate of 6%, the rest at an annual interest rate of 10%. If his total income from the two investments over one year was $1,700, how much was invested at each rate? ? Jane had $20,000 to invest for one year. She deposited part of which into an account paying 5% annual interest. the rest into another account paying 8% annual interest. If the total interest earned at the end of one year was $1,390, how much was invested at each account? ? A total of $18,000 was invested for 6 months, part at 4% annual interest rate and part at 7% annual interest rate. The total interest earned over the 6 month period was $450, how much was invested at each rate? Solution ? $12,000 was invested for three months. Part of which was invested at 6% annual interest rate and the rest at 10% annual interest rate. If the total income for three months from the investments was $240, how much was invested at each rate? Sue has $15,000 to invest for 5 months, part at 6% annual rate, the rest at 10% annual rate. If the total interest earned at the end of five months is $450, how much was invested at each rate? 1. Lisa requires additional income to meet her everyday expenses. She has $30,000 to invest. To generate the required additional income, the annual return rate has to be 6%. She deposits part of her capital into an account paying 4% per ye ar, and invest the rest in stocks earning 10% per year. How much does she need to invest at each rate? 2. We will write a custom essay sample on Mathematics of Investment Questionnaire specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on Mathematics of Investment Questionnaire specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on Mathematics of Investment Questionnaire specifically for you FOR ONLY $16.38 $13.9/page Hire Writer To balance risk and return on his investment, Ben invests part of his money in an low risk, low return bank saving account paying 5% per year, the rest in high risk, high return stocks earning 15% per year. To achieve the goal of a 12% annual return on $24,000 investment, how much does he need to invest at each rate? 3. Sue has invested $12,000 at an annual interest rate of 6%. To realize an annual return of 8% on her investment, how much more funds must she invest at an annual rate of 12%? 4. Paul deposited $21,000 into his bank saving account paying 5% per year. How much additional funds must he invest at 10% annually so that the annual return on his total investment is 7%? 5. Joe made two investments. She earned 8% annually on her first investment, but lost 12% annually on her second investment. If her total investment was $15,000, and the total income was $240 for one year, how much money was allocated to each investment? 6. Allan made two investments totaling $20,000. He earned 5% annually on his first investment, but lost 10% annually on his second investment. If the net loss was $140 for one year, how much money was allocated to each investment? 7. Jan made two investments. She made a 7% profit on her first investment, but lost 10% annually on her second investment. If her total investment was $16,000, and the total income was $100, how much money was allocated to each investment? 8. Paul made two investments totaling $25,000. He made a profit of 6% on his first investment, but made a loss of 10% on his second investment. If the net loss was $260, how much money was allocated to each investment? 9. Ben invests 30% of his total funds at 5% annual rate, the rest at 8% annual rate. If his total income for one year is $625, how much does he invest at each rate? 10. Ben invests 30% of his total funds at 5% annual rate, 40% at 6% annual rate, the rest at 8% annual rate. If his total income for one year is $560, how much does he invest at each rate? 11. ? Ben invests 30% of his total funds at 5% annual rate, the rest at 8% annual rate. If his total income for one year is $639, how much does he invest at each rate? Solution 12. ? Ben invests 30% of his total funds at 5% annual rate, 40% at 6% annual rate, the rest at 8% annual rate. If his total income for one year is $630, how much does he invest at each rate? Solution 13. ? A certain amount of money is to be invested for a period of one year. The amount of money invested at 6% per year is twice as much as the amount invested at 9% per year. If the income for one year is $1680, how much is invested at each rate? Solution 14. ? Jeff has some money to invest for one year. The amount of money invested at 5% per year is $5,000 more than that invested at 8% per year. The interest earned is $1,160. How much does he invest at each rate? Solution 15. ? One third of the funds is invested at an annual interest rate of 4%, the rest at 6% annual rate. If the income for one year is $480, how much is invested at each rate? 16. The ratio of the the amount of money invested at 6% annual rate to the amount invested at 9% is 2 : 5. If the total income for one year is $570, how much is invested at each rate? 17. ? A certain amount of money is to be invested for one year. The amount of money invested at 6% per year is $2,000 more than twice the amount invested at 9% per year. If the income for one year is $1,800, how much is invested at each rate? 18. ? John has some money to invest, the amount of money invested at 5% per year is $3,000 less than three times the amount invested at 9% per year. If the income for one year is $1,050, how much is invested at each rate? Jason invested a total of $20,000 for one year, Part of which was invested at an annual interest rate of 6%, the rest at an annual interest rate of 10%. If the return on the 10% investment is $400 more than the return on the 6% investment, how much was invested at each rate? ? Ben made two investments totaling $17,000. The percentage return on the first investment was 7% annually, while the the percentage return on the second one was 10% annually. If the return on the 7% investment was $340 less than the return on the 10% investment, how much was invested at each rate? ? John has $14,000 to invest. He invests part of his money at an annual interest rate of 6%, the rest at 9% annual rate. The return on the 6% investment is twice as much as the return on the 9% investment,. How much does he invest at each rate? ? Jane had $30,000 to invest for one year. She deposited part of the money into an account paying 5% interest annually. the rest into another account paying 8% interest annually. If return on the 5% investment was $1,400 less than three times the return on the 8% investment, how much was invested at each account? ? Ben invests 30% of his total funds at 5% annual rate, the rest at 8% nnual rate. If the return on the 8% investment is $82 more than the return on the 5% investment, how much does he invest at each rate? ? A certain amount of money is to be invested for a period of one year. The amount of money invested at 6% per year is twice as much as the amount invested at 9% per year. If the return on the 6% investment is $150 more than the return on the 9% investment,, how much is invested at each rate? ? Jeff has some money to invest for one year. The amount of money invested at 5% per year is $5,000 more than that invested at 8% per year. If the return on the 5% investment is $200 less than the return on the 8% investment, how much does he invest at each rate? 1. ? The ratio of the the amount of money invested at 6% annual rate to the amount invested at 9% is 3 : 5. The return on the 9% investment is $216 more than twice the return on the 6% investment. How much is invested at each rate? 2. HERE ARE SOME EXAMPLES of problems that lead to simultaneous equations. 3. Example 1. 1000 tickets were sold. Adult tickets cost $8. 50, childrens cost $4. 50, and a total of $7300 was collected. How many tickets of each kind were sold? 4. Solution. Let x be the number of adult tickets. Let y be the number of childrens tickets. 5. Always let x and y answer the question and be perfectly clear about what they represent! 6. Now there are two unknowns. Therefore there must be two equations. (In general, the number of equations must equal the number of unknowns. )   How can we get two equations out of the given information? 1)   | Total number of tickets:| x | +| y| =| 1000| | 2)   | Total money collected:| 8. 5x | +| 4. 5y| =| 7300| 7. In equation 2), let us make the coefficients into whole numbers by multiplying both sides of the equation by 10: 1)   | x | +| y| =| 1000| 2)   | 85x | +| 45y| =| 73,000| 8. We call the second equation 2 (2 prime) to show that we obtained it from equation 2). 9. These simultaneous equations are solved in the usual way. 10. The solutions are:    x = 700,   y = 300. 11. To see the answer, pass your mouse over the colored area. To cover the answer again, click Refresh (Reload). Do the prob lem yourself first! 12. Example 2. Mrs. B. invested $30,000; part at 5%, and part at 8%. The total interest on the investment was $2,100. How much did she invest at each rate? 13. Solution. 1)   | Total investment:| x | +| y| =| 30,000| | )   | Total interest| . 05x | +| . 08y| =| 2,100| 14. (To change a percent to a decimal, see Skill in Arithmetic, Lesson 3. ) 15. Again, in equation 2) let us make the coefficients whole numbers by multiplying both sides of the equation by 100: 1)   | x | +| y| =| 30,000| | 2)   | 5x | +| 8y| =| 210,000| 16. These are the simultaneous equations to solve. 17. The solutions are:    x = $10,000,   y = $20,000. 18. Problem 1. Samantha has 30 coins, quarters and dimes, which total $5. 70. How many of each does she have? 19. To see the answer, pass your mouse from left to right over the colored area. To cover the answer again, click Refresh (Reload). Do the problem yourself first! 20. Let x be the number of quarters. Let y be the number of dimes. 21. The equations are: 1)   | Total number of coins:| x| +| y| =| 30| | 2)   | Total value:| . 25x| +| . 10y| =| 5. 70| 22. To eliminate y: 23. Multiply equation 1) by ? 10   and equation 2) by 100: 1)   | ? 10x| ?| 10y| =| ? 300| | 2)   | 25x| +| 10y| =| 570| | Add:| | | 15x|   |   | =| 270| | |   |   |   x| =| 270 15| | |   |   |   x| =| 18| 24. Therefore,   y = 30 ? 18 = 12. 25. Example 3. Mixture problem 1. First: 26. 36 gallons of a 25% alcohol solution 27. eans:   25%, or one quarter, of the solution is pure alcohol. 28. One quarter of 36 is 9. That solution contains 9 gallons of pure alcohol. 29. Here is the problem: 30. How many gallons of 30% alcohol solution   and how many of 60% alcohol solution must be mixed   to produce 18 gallons of 50% solution? 31. 18 gallons of 50% solution means:   50 %, or half, is pure alcohol. The final solution, then, will have 9 gallons of pure alcohol. 32. Let x be the number of gallons of 30% solution. Let y be the number of gallons of 60% solution. 1)   | Total number of gallons| x | +| y| =| 18| | 2)   | Gallons of pure alcohol| . x | +| . 6y| =| 9| | 2)   |   | 3x | +| 6y| =| 90| 33. Equations 1) and 2) are the two equations in the two unknowns. 34. The solutions are:    x = 6 gallons,   y = 12 gallons. 35. Example 4. Mixture problem 2. A saline solution is 20% salt. How much water must you add to how much saline solution, in order to dilute it to 8 gallons of 15% solution? 36. (This is more an arithmetic problem than an algebra problem. ) 37. Solution. Let s be the number of gallons of saline solution. Now all the salt will come from those s gallons. So the question is, What is s so that 20% of s the salt will be 15% of 8 gallons? 8. .2s = . 15 ? 8 = 1. 2 39. That is, 40. 2s = 12. 41. s = 6. 42. Therefore, to 6 gallons of saline solution you must add 2 gallons of water. 43. Example 5. Upstream/Downstream problem. It takes 3 hours for a boat to travel 27 miles upstream. The same boat can travel 30 miles downstream in 2 hours. Find the speeds of the boat and the current. 44. Solution. Let x be the speed of the boat (without a current). Let y be the speed of the current. 45. The student might review the meanings of upstream and downstream,   Lesson 25. We saw there that speed, or velocity, is distance divided by time: v| =| d | 46. Therefore, according to the problem: Upstream speed| =| Upstream distance Upstream time| =| 27 3| =| 9| | Downstream speed| =| Downstream distance Downstream time| =| 30 2| =| 15| 47. Here are the equations: 1)   | Upstream speed:| x | ? | y| =| 9| | | 2)   | Downstream speed:  | x | +| y| =| 15| 48. Enjoy! 49. (The solutions are:    x = 12 mph,   y = 3 mph. ) 50. Word problems that lead to simultaneous equations 51. Section 2 52. Back to Section 1 53. Problem 2. A total of 925 tickets were sold for $5,925. If adult tickets cost $7. 50, and childrens tickets cost $3. 0, how many tickets of each kind were sold? (Compare Example 1. ) 54. To see the answer, pass your mouse over the colored area. To cover the answer again, click Refresh (Reload). Do the problem yourself first! 55. Let x be  the number of adult tickets. Let y be the number of childerens tickets. 56. Here are the equations: 1)   | Total number of tickets:| x | +| y| =| 925| 2)   | Total money collected:| 7. 5x | +| 3y| =| 5,925| 57. In equation 2), make the coefficients into whole numbers by multiplying both sides of the equation by 10: 1)   | x | +| y| =| 925| 2)   | 75x | +| 30y| =| 59,250| 8. To eliminate y, for example: 59. Multiply equation 1) by ? 30, and add. 60. The solution is:    x = 700,   y = 225. 61. Problem 3. Mr. B. has $20,000 to invest. He invests part at 6%, the rest at 7%, and he earns $1,280 interest. How much did he invest at each rate? (Compare Example 2. ) 62. Let x be  how much he inveted at 6%. Let y be how much he inveted at 7%. 63. Here are the equations: 1)   | Total investment:| x | +| y| =| 20,000| 2)   | Total interest:| . 06x | +| . 07y| =| 1,280| 2)   |   | 6x | +| 7y| =| 128,000| 64. To eliminate x, for example, from equations 1) and 2): 65. Multiply equation 1) by ? 6, and add. 66. The solution is:    x = $12,000. y = $8,000. 67. Problem 4. Edgar has 20 dimes and nickels, which together total $1. 40. How many of each does he have? (Compare Problem 1. ) 68. Let x be  the number of dimes. Let y be be the number of nickels. 69. Here are the equations: 1)   | Total number of coins:| x | +| y| =| 20| 2)   | Total value:| . 10x | +| . 05y| =| 1. 40| 2)   |   | 10x | +| 5y| =| 140| 70. To eliminate x, for example, from equations 1) and 2), multiply equation 1) by ? 10, and add. 71. The solution is:    x = 8 dimes. y = 12 nickels. 72. Problem 5. How many gallons of 20% alcohol solution   and how many of 50% alcohol solution must be mixed   to produce 9 gallons of 30% alcohol solution? (Compare Example 3. ) 73. (9 gallons of 30% alcohol solution = . 3 ? 9 = 2. 7 gallons of pure alcohol. ) 74. Let x be  the number of gallons of 20% solution. Let y be the number of gallons of 50% solution. 75. Here are the equations: 1)   | Total number of gallons:| x | +| y| =| 9| 2)   | Total gallons of pure alcohol:| . 2x | +| . 5y| =| 2. 7| 2)   |   | 2x | +| 5y| =| 27| 76. To eliminate x, for example, from equations 1) and 2), multiply equation 1) by ? , and add. 77. The solution is:    x = 6 gallons. y = 3 gallons. 78. Problem 6. 15 gallons of 16% disenfectant solution is to be made from 20% and 14% solutions. How much of those solutions should be used? 79. (15 gallons of 16% solution = . 16 ? 15 = 2. 4 gallons of pure disenfectant. ) 80. Let x be  the number of gallons of 20% solution. Let y be  the number of gallons of 14% solution. 81. Here are the equations: 1)| Total number of gallons:| x | +| y| =| 15| 2)| Total gallons of pure disenfectant:  | . 20x | +| . 14y| =| 2. 4| 2)|   | 20x | +| 14y| =| 240| 82. To eliminate x, for example, from equations 1) and 2), multiply equation 1) by ? 20, and add. 83. The solution is:    x = 5 gallons. y = 10 gallons. 84. Problem 7. It takes a boat 2 hours to travel 24 miles downstream   and 3 hours to travel 18 miles upstream. What is the speed of the boat in still water, and how fast is the current? (Compare Example 4. ) 85. Let x be  the speed of the boat in still water. Let y be  the speed of the current. 86. Here are the equations: 1)   | Downstream speed:  | x | +| y| =| 24 2| =| 12| 2)   | Upstream speed:| x | ? | y| =| 18 3| =| 6| 87. To eliminate y, simply add the equations. 88. The solution is:    x = 9 mph. y = 3 mph. 89. Problem 8. An airplane covers a distance of 1500 miles in 3 hours when it flies with the wind, and in 3| 1 3|   hours when it flies against the| 90. wind. What is the speed of the plane in still air? (Compare Example 4. ) 91. Let x be  the speed of the plane in still air. Let y be  the speed of the wind. 92. Here are the equations: 1)   | Speed with the wind:| x | +| y| =| 1500 3|    =   500| 2)   | Speed against the wind 😠 x | ? | y| =| | 93. To eliminate y, simply add the equations. 94. The solution is:    x = 475 mph.