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A total of $21,000 is invested in two funds paying 3% and 5% simple interest. (The 3% investment has a lower risk.) The investor wants a yearly interest income of $1000 from the two investments. (a) Write a system of equations in which one equation represents the total amount invested and the other equation represents the $1000 required in interest. Let x and y represent the amounts invested at 3% and 5%, respectively. total amount invested $1000 required in interest (b) Use a graphing utility to graph the two equations in the same viewing window. As the amount invested at 3% increases, how does the amount invested at 5% change? O decreases O increases O stays the same How does the amount of interest income change? O decreases O increases O stays the same (c) What amount should be invested at 3% to meet the requirement of $1000 per year in interest?

A total of $21,000 is invested in two funds paying 3% and 5% simple interest. (The 3% investment has a lower risk.) The investor wants a yearly interest income of $1000 from the two investments. (a) Write a system of equations in which one equation represents the total amount invested and the other equation represents the $1000 required in interest. Let x and y represent the amounts invested at 3% and 5%, respectively. total amount invested $1000 required in interest (b) Use a graphing utility to graph the two equations in the same viewing window. As the amount invested at 3% increases, how does the amount invested at 5% change? O decreases O increases O stays the same How does the amount of interest income change? O decreases O increases O stays the same (c) What amount should be invested at 3% to meet the requirement of $1000 per year in interest?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A total of $21,000 is invested in two funds paying 3% and 5% simple interest. (The 3% investment has a lower risk.) The investor wants a yearly interest income of $1000 from the two investments. (a) Write a system of equations in which one equation represents the total amount invested and the other equation represents the $1000 required in interest. Let x and y represent the amounts invested at 3% and 5%, respectively. total amount invested $1000 required in interest (b) Use a graphing utility to graph the two equations in the same viewing window. As the amount invested at 3% increases, how does the amount invested at 5% change? O decreases O increases O stays the same How does the amount of interest income change? O decreases O increases O stays the same (c) What amount should be invested at 3% to meet the requirement of $1000 per year in interest? $
Transcribed Image Text:A total of $21,000 is invested in two funds paying 3% and 5% simple interest. (The 3% investment has a lower risk.) The investor wants a yearly interest income of $1000 from the two investments. (a) Write a system of equations in which one equation represents the total amount invested and the other equation represents the $1000 required in interest. Let x and y represent the amounts invested at 3% and 5%, respectively. total amount invested $1000 required in interest (b) Use a graphing utility to graph the two equations in the same viewing window. As the amount invested at 3% increases, how does the amount invested at 5% change? O decreases O increases O stays the same How does the amount of interest income change? O decreases O increases O stays the same (c) What amount should be invested at 3% to meet the requirement of $1000 per year in interest? $
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