A private investment club has $3,000 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 17%/year; medium-risk stocks, 7%/year; and low-risk stocks,6%/year. The members have decided that the investment in low-risk stocks should be a quarter of the sum of the investments in the stocks of the other two categories. Assuming that all the money available for investment is invested, how much should the club invest in each type of stock if the investment goal is to have a return of $413/year on the total investment? (Round your answer to 1 decimal place.)

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter12: Sequences, Series And Binomial Theorem
Section12.3: Geometric Sequences And Series
Problem 12.58TI: What is the total effect on the economy of a government tax rebate of $500 to each household in...
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A private investment club has $3,000 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 17%/year; medium-risk stocks, 7%/year; and low-risk stocks,6%/year. The members have decided that the investment in low-risk stocks should be a quarter of the sum of the investments in the stocks of the other two categories. Assuming that all the money available for investment is invested, how much should the club invest in each type of stock if the investment goal is to have a return of $413/year on the total investment? (Round your answer to 1 decimal place.)

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