Economic Globalization Is The Growing Integration Of World...

Economic globalization is the growing integration of world markets and the intensifying interdependence of global economies. The process has social and economic costs as well as benefits. The process is both critiqued and lauded by scholars. On one hand it provides opportunities and growth while on the other hand it creates an unequal distribution of wealth also while hurting workers rights. At the conclusion of World War II, Harry White and John Maynard Keynes aimed to create a financial strategy to liberate the world economy from the extensive restrictions and controls levied during the war. At the Bretton Woods conference, they provided proposals which strengthened American economic hegemony (Rodrik). This happened because both White and Keynes recognized that domestic economic needs outranked global economics (Rodrik). The goal of the Bretton Woods conference was to stimulate moderate economic globalization. Dani Rodrik praises the unification of global markets and trade liberalization after the Bretton Woods conference. He especially lauds Keynesian globalization, which gives states discretion in trade policy and regulation. According to Rodrik, the Bretton Woods conference was successful in fostering economic trade after years of war and rivalry. However, he does critique trade liberalization and multilateral international institutions that emerged out of Bretton Woods, such as the International Monetary Fund (IMF), General Agreements on Tariffs and TradeShow MoreRelatedGlobalization : The Super Story1366 Words   |  6 PagesWith the growing demand for professionals, countries and industries around the world have broaden their usual scope of search from within their own boundaries to across their borders looking for cheaper yet more capable men and women. In Thomas Friedman’s article, Globalization: The Super-Story, he defines globalization as the inexorable integration of markets, transportation systems, and communication systems to a degree never witnessed before. In simple terms, globalization is the process of internationalRead MoreGlobalization And Globalization1050 Words   |  5 PagesChoice 18: â€Å"On balance, globalization expands rather than contracts opportunities for economic prosperity around the world.† Why do you agree or disagree with this statement? Please support your answer with appropriate examples. Globalization has impacted almost every part of the modern world; it can be characterized by economic, political, and cultural integration. Economic globalization refers to the increasing interdependence of world economies as a result of the growing scale of cross-borderRead MoreGlobalization Evolution703 Words   |  3 Pagesï » ¿GLOBALIZATION EVOLUTION OF GLOBALIZATION The term globalization denotes â€Å"globe† as a single market. Product presence in different Markets of the world. Production base across the globe. Human resources from all over the world. International investment Transaction involving IPRs. The advent in ICI(information, communication and technology) Rapid economic liberalization of trade and investment The mobility of people and transactional moves The reach of satellite channels, internet etc. Read MoreEssay on Globalization: Sharing Our Prosperity With the World1388 Words   |  6 Pages Globalization is the growing interdependence of the worlds people that involves the integration of economies, technologies, and cultures (Bradshaw). It is described as the increased movement of people, knowledge and ideas, and goods and money across national borders that have led to the increased interconnectedness among the world. Globalization is often thought of in economic terms but as we know there are three major components implicated with this idea including: economics, politics, andRead MoreEssay about The Impact of Globalization on State Relationships879 Words   |  4 PagesGlobalization, both as an ideology and process, has become the dominant political, economical and cultural force in the 21st century. Quote from Globalism: The New Market Ideology by Manfred D.Steger, Page 6 One of the biggest questions currently asked in international politics seeks to determine the role that globalization plays in world and its effect on state relationships. While there i s debate about the extent to which globalization is occurring and influencing international relationsRead MoreDiscussion on the Advantages and Disadvantages of Economic Globalization651 Words   |  3 PagesDiscussion on the advantages and disadvantages of economic globalization At present, economy globalization, which can be defined as the expanding world integration through trade, financial flow and knowledge, has significant effect on developed and developing countries. We are living in a world where people can communicate efficiently and enjoy the freedom of exchange of goods and capital. Due to the economic globalization, the material life today is more colorful than before. However, there areRead MoreEssay on The Opportunities and Risks of Globalization1560 Words   |  7 PagesGlobalization, both as an ideology and process, has become the dominant political, economical and cultural force in the 21st century. Quote from Globalism: The New Market Ideology by Manfred D.Steger, Page 6 Globalization is one of the most charged issues of the day. It is everywhere in public discourse - in TV sound bites and slogans on placards, in web-sites and learned journals, in parliaments, corporate boardrooms and labor meeting halls. Extreme opponents charg e it with impoverishingRead MoreECONOMIC CONSEQUENCES OF GLOBALIZATION ON TELECOMMUNICATION INDUSTRY1682 Words   |  7 Pagesï » ¿ ECONOMIC CONSEQUENCES OF GLOBALIZATION ON TELECOMMUNICATION INDUSTRY Case of Vodafone Contents Contents 2 SUMMARY 3 ECONOMIC ANALYSIS OF GLOBALIZATION 3 GLOBALIZATION OF TELECOMMUNICATION INDUSTRY- CASE OF VODAFONE 4 CONSEQUENCES OF GLOBALIZATION ON TELECOMMUNICATION INDUSTRY- CASE OF VODAFONE 4 EVALUATION AND CONCLUSION 6 REFERENCES 7 SUMMARY While discussing the topics of trade, development and political economy, globalization is often discussed. In general, globalizationRead MoreEssay on Brazil: Embracing Globalization?1519 Words   |  7 PagesBRAZIL: EMBRACING GLOBALIZATION? Background This case focuses on Brazils development strategy since World War II and on the change of the economic model following the debt crisis of the 1980s. At the time of the case Brazilian officials are deciding whether regional integration or globalization offer the best route to economic prosperity and development. This case illustrates the challenges that developing countries face in defining trade policy. It also introduces the role of regional tradeRead MoreHow Globalization Affects Developing Countries?1504 Words   |  7 PagesHow Globalization Affects Developed Countries The phenomenon of globalization began in a primitive form when humans first settled into different areas of the world; however, it has shown a rather steady and rapid progress in the recent times and has become an international dynamic which, due to technological advancements, has increased in speed and scale, so that countries in all five continents have been affected and engaged. What Is Globalization? Globalization is defined as a process which, based

African American Of African Americans - 1491 Words

African Americans have witnessed much discrimination throughout the years. The issue of reparations for all African Americans is argued by one scholar and a credible newspaper. The debate about reparations started with the agreement side from the opinion of Robert Allen. He stated historical aspects that showed the crusade that many African American leaders started to get a compromise with the government. Allen continues to research the problems of African American involving with financial worth in America throughout history. He even goes as far to say that â€Å"Reparations provides a framework for the redistribution of wealth within the existing political economy.† The opposition of the debate was from the writers of The Economist. They defended their argument with a policy that focused on the difficulty of identifying the victims and past perpetrators. The writers also brought up the fact that corporations involved in exploitation of slaves made amends a long time ago and c annot be responsible for the predicament of African Americans. This debate has heightened over the years as new forms of oppression of African Americans have appeared in recent years. In my view of the debate, Robert Allen has the most logical argument over the writers of The Economist about the need for the government to make reparations for African Americans as way for racial equality. Robert L. Allen is adjunct professor of African American Studies at University of California Berkeley and received aShow MoreRelatedAfrican Americans And African American Community852 Words   |  4 PagesAs seen through time, African-Americans have been at a disadvantage when it comes to accessing funds that are available to most people. This however has not stopped them from creating and accessing help that supports and aids their families. Through communal efforts, African-Americans have been able to create mutual aid for themselves. In these communities, there are many sectors that have been bu ilt, but the main reason many are â€Å"making it† or able to afford and do what they are currently doingRead MoreAfrican Americans And African American Studies844 Words   |  4 Pageswould shed light on African Americans. The progress the students created is seen today in American Universities ,and also HBCUs, where (AAS)African American Studies is implemented into the curriculum. Before, the dissection the formation of AAS, it should be noted that without the sacrifice from others I undoubtedly would not be writing about AAS ,or reflecting on the significance it has created for generations so far. There have always been African Studies, just not in the American Education SystemRead MoreAfrican Americans And African American Families921 Words   |  4 PagesThe number of two-parent African American households is dissolving. According to the U.S. Bureau of the Census, the black family has declined from 80% in 1890 to 39% in 1990. The result of conflict, and warring souls in the African American community, this trend can be stopped and reversed. The African American family must first gain an understanding of what is causing this dissolution, then they can be taught about what principals and skills they must adapt in order to reverse it. Once this isRead MoreAfrican Americans And Identity Of African American1169 Words   |  5 PagesIn the year of 1619, the largest oppressive legal structure in American History came about, the institution of slavery. Although slavery was abolished in the year of 1865, African Americans are still enslaved by intuitional racism. There are systems in place to keep minorities at a disadvantage. This system of oppression is carried by a number of factors such as; the segregation of black people in urban areas referred to as ghettos, mass incarceration rate for people of color, large educational gapsRead MoreAfrican Americans And African American Culture953 Words   |  4 Pagesand perception of the African American culture. One common characteristic is that African Americans are much more likely to live in poverty and poverty stricken areas than White Americans (McNamara Burns, 2009). What I have learned it is not as simple as African Americans are poorer than White Americans. While the statement is true, it is simplistic. There are many reasons and. causes for the disparity in wealth and income between African Americans and White American. One explanation givenRead MoreAfrican American History : African Americans1269 Words   |  6 PagesThere are countless examples of how African Americans have transformed history or made a mark on our country. African Americans have displayed heroism and bravery for what we believe in. Without Black History Month as a holiday, these people would not have been recognized for all of their many achievements. We must continue to celebrate the achievements of African Americans, and we must correct the inconsistences of the past. Black History Month should be kept as a national holiday as long as weRead MoreAfrican Americans And African American Equality883 Words   |  4 Pagesthan ever for African Americans in the year 1865; Union victory, emancipation, the right to vote, education and opportunity were on the horizon. However, the post-civil war time period proved to be much different than anticipated. Although blacks were eager to demonstrate their democratic participation and inclusion, they were often faced with opposition and disenfranchisement, especially during and after reconstruction. This oscillating and contradictory battle for African American equality is seenRead MoreAfrican American Oppression : African Americans Essay1123 Words   |  5 Pages African American Oppression 1. A group that has been oppressed for a long period of time is African Americans. They dealt with so much from history to present that I feel they should benefit from community organizing. Especially with recent events that’s going on with them as a population, they could benefit from it. 2. The African American population in the U.S is 13.3% and what distinguishes them from the rest of the population is that there’s a lot of history behind African Americans. The descendantsRead MoreAfrican Americans And African American Culture Essay1804 Words   |  8 PagesExactly how â€Å"black† is black America? African American culture in the United States has evolved continuously throughout United States history carrying on various cultural traditions of African ethnic groups brought here during slavery. The U.S. Census Bureau defines African Americans as a person having origins in any of the Black race groups of Africa.[1]. African American culture is derived chiefly from people originated from sub-Saharan and Sahelian cultures in Africa. Over hundreds of yearsRead MoreAfrican American Economy : African Americans909 Words   |  4 PagesAfrican American Economy The unemployment rate in the African American community is higher than any other group in American society. Institutionalized racism and unequal education opportunities have contributed to the unemployment rate. There are various reasons why the unemployment rate is greater in the African American communities. Consequently, Blacks are attaining higher education at a rate lower than other groups in society, and lack opportunities in the workforce. These are just two of the

SETI Program Essay Example For Students

SETI Program Essay Bertrand Russell wrote, There are two possibilities. Maybe we are alone. Maybe we are not. Both are equally frightening (Jakosky 1). The question oflife in the universe is one that leaves many in a state of bewilderment. Itbecomes even more interesting when it leads to another question that ofintelligent life in the universe. Finding other intelligent civilizations amongthe interstellar space would greatly affect every aspect of our existence. Conversely, not finding such a civilization would force us to examine thepurpose of our own existence. To help answer the question, astronomers andscientists set up a program in search for extraterrestrial intelligence. Thisprogram, or SETI, was set up to verify, by observation that extraterrestriallife does exist. SETI tries to prove this by picking up and analyzing radiosignals by means of satellites and advanced computers (Heidmann 116). Thehistory of the SETI program is quite interesting. It started back in 1959 withthe help of two famous Cornell University physicists, Guiseppi Cocconi and PhilMorrison. Both claimed that it would be possible to communicate with otherpotential extraterrestrial life in space by the use of techniques used in radioastronomy (Heidmann 112). Together, they voiced their belief that if otheralien astronomers elsewhere in the universe possessed radio telescopes,that it would be possible to converse between the two (Heidmann 112-113). Ayoung astronomer by the name of Francis Drake agreed with the theories ofCocconi and Morrison. He proposed building a radio receiver in order to listenfor waves of sound being transmitted through space. It wasnt until the springof 1960 that Drake began his first project of SETI, Ozma. In this project, hewas the first to conduct a search for signals transmitted from other solarsystems. For two tedious months, Drake pointed an eighty-five foot antenna inthe direction of two starts the same age as our sun, Tau Ceti and Epsil. Asingle 100Hz-channel receiver scanned nearly 400kHz of bandwidth, for a repeatedseries of patterned pulses that would indicate an intelligent message (Heidmann113-144). Unfortunately, the only sound that came from the speaker was static. Though no intelligent life was found and project Ozma proved to be nothing but adisappointment, it actually spurred the interest of others who created afeasible scientific objective (Project Ozma). In the 1960s the SovietUnion dominated much of the SETI program. However in the 1970s NASAs AmesResearch center, located in California began to take over. After nearly a decadeof study and preliminary research, the NASA headquarters fully funded andadopted the SETI program. However, five years later Congress ruled the program afoolish unnecessary scientific endeavor that wasted valuable funding. Congressthen decided to not allow NASA to support SETI and terminated the funding(History of SETI). Despite the obstacle, the SETI program was reborn,forming the SETI Institute. Its first privately funded project, ProjectPhoenix, is the worlds most sensitive and comprehensive search forextraterrestrial intelligence that listens to radio signals being transmittedour way. The project focuses on North ern Stars by scanning only those that aresun-like and are more capable of supporting life (Heidmann 146). The PhoenixProject is only one of the many projects run for the search of extraterrestrialintelligence, but is one of the most important. Another highly significantproject in the search for other life would be the project run by the ColumbusOptical SETI Observatory, or COSETI. This project was formed to promote theoptical search for extraterrestrial intelligence. In other words, it seeks todetect pulsed and continuous wave laser beacon signals in the visible andinfrared spectrums. Until 1998 however, little, or nothing was ever said toindicate that there might possibly be a sensible optical approach to SETI. Manyresearchers believe that extraterrestrials, if they exist, are so sophisticatedthat they would use lasers for their communications rather than radio waves. Itis said that by the year 2005 that most SETI activities will be of the opticalkind and that the Hubble Space Tele scope (HST) could also be retrofitted forCOSETI. (The Optical). One of the more recent projects that we are facedwith today is the emailprotected Home Project. This project allows the general public toget involved in the search for extraterrestrial intelligence by allowing them touse their home computers to search for signs of radio signals being transmittedto Earth from space (Kahney, A Search). Supposedly, anyone is able toparticipate by running a free program that downloads and analyzes radiotelescope data. The philosophy behind this is that the majority of the SETIprojects in existence today build large computers that analyze the datacollected from the telescopes in real time. Apparently, none of the computershave the capacity to look at the signals too deeply, and the weakest signals aremissed. SETI programs could never afford the type of computer power need toanalyze both the strongest and weakest signals, so the SETI team came up withthe idea to let individuals at home help t hem out. The SETI @home project simplyuses a small screen saver program that has the ability to download bits ofinformation from the SETI @home web site and can analyze that date and reportthe data back. (Hipschma, The Problem). However, a small glitch has beenfound in this process. Volunteers who are downloading and analyzing theinformation are wasting CPU cycles by processing data that has already beenscanned. The SETI @home team regrettably announced that due to the overwhelmingresponse by volunteers, the lack of storage space and manpower, they areprocessing the same 115 blocks of information from a two-day period in January. The World of Culinary Arts EssayOr perhaps we will never know. It is the fear of the unknown that drives many ofthe researches onward into the discovery of extraterrestrial intelligence, andhopefully one day, all this hard work will pay off!Bibliography1. Heidmann, Jean. Extraterrestrial Intelligence. New York: CambridgeUniversity Press, 1992. 2. Jakosky, Bruce. The Search for Life on Other Planets. New York: Cambridge University Press, 1998. 3. Kahney, Leander. A Search forIntelligent Searchers. Wired News (1999). 29 January 2000 *http://www.nitehawk.com/rasmit/*. 4. Hipschma, Ron. The Problem Mountains of Data. How SETI @Home Works(1999). 29 January 2000 http://www.nitehawk.com/rasmit/. 5. Project Omar.SETI Institute. 1999. SETI Institute. 28 January 2000 http://www.seti.org/science/ozma.html. 6. History of SETI. SETI Institute. 1999. SETI Institute. 29 January 2000http://www.seti.org/general/history.html. 7. The Optical SETI Resource forPlanet Earth. The Columbus Optical SETI Observatory. 1999. ColumbusObservatory. 27 January 2000 http://www.coseti.org/. 8. Ward, Peter. Interviewwith Lori Stokes. The Debate Over Life Beyond Earth. MSNBC. 10 Feb. 2000.

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.