INVESTMENT PORTFOLIO A total of $25,000 isinvested in two funds paying 6% and 8.5%

Chapter 6, Problem 73

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INVESTMENT PORTFOLIO A total of $25,000 isinvested in two funds paying 6% and 8.5% simpleinterest. (The 6% investment has a lower risk.) Theinvestor wants a yearly interest income of $2000 fromthe two investments.(a) Write a system of equations in which one equationrepresents the total amount invested and the otherequation represents the $2000 required in interest.Let and represent the amounts invested at 6%and 8.5%, respectively. (b) Use a graphing utility to graph the two equations inthe same viewing window. As the amount investedat 6% increases, how does the amount invested at8.5% change? How does the amount of interestincome change? Explain.(c) What amount should be invested at 6% to meet therequirement of $2000 per year in interest?

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