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Unformatted text preview: c Kendra Kilmer August 18, 2011 Note: We will first learn how to set-up the system in these word problems. We will then learn the basics about matrices and then return to learn how to solve these problems. Example 3: Jennifer has made it through her ten year class reunion. She is wanting to remember how many former classmates, spouses, and former teachers attended the reunion. She has lost her records but recalls that the ticket sales totaled $4,775. She charged $30 for each former classmate, $25 for each spouse, and $20 for each former teacher. She recalls that the number of former classmates and spouses combined was 130 more than the number of former teachers. She also recalls that there were five times as many former classmates there as spouses. Help Jennifer remember the number of former classmates, spouses, and former teachers that attended the reunion. Set-up the linear system: Example 4: An investment club has $200,000 earmarked for investment in stocks. To arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high-risk, medium-risk, and low-risk. Management estimates that high-risk stocks will have a rate of return of 15%/year; medium-risk stocks, 10%/year; and low-risk stocks, 6%/year. The members have decided that the investment in low-risk stocks should be equal to the sum of the investments in the stocks of the other two categories. Determine how much the club should invest in each type of stock if the investment goal is to have a return of $20,000/year on the total investment. (Assume that all of the money available for investment is invested.) Set-up the linear system: Section 2.1 Highly Suggested Homework Problems: 5, 7, 9, 11, 17, 19, 25, 27, 29, 31 2 ...
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This note was uploaded on 03/04/2012 for the course MATH 141 taught by Professor Jillzarestky during the Fall '08 term at Texas A&M.
- Fall '08