Investing in Bonds A woman wishes to invest $12,000 in three types of bonds: munici- pal bonds paying 7% interest per year, bank certificates paying 8%, and high-risk bonds paying 12%. For tax reasons she wants the amount invested in municipal bonds to be at least three times the amount invested in bank certificates. To keep her level of risk manage- able, she will invest no more than $2000 in high-risk bonds. How much should she invest in each type of bond to maximize her annual interest yield? [Hint: Let xr= amount in municipal bonds and y = amount in bank certificates. Then the amount in high-risk bonds will be 12,000 – x - y.]

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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Investing in Bonds A woman wishes to invest $12,000 in three types of bonds: munici-
pal bonds paying 7% interest per year, bank certificates paying 8%, and high-risk bonds
paying 12%. For tax reasons she wants the amount invested in municipal bonds to be at
least three times the amount invested in bank certificates. To keep her level of risk manage-
able, she will invest no more than $2000 in high-risk bonds. How much should she invest
in each type of bond to maximize her annual interest yield? [Hint: Let xr= amount in
municipal bonds and y = amount in bank certificates. Then the amount in high-risk bonds
will be 12,000 – x - y.]
Transcribed Image Text:Investing in Bonds A woman wishes to invest $12,000 in three types of bonds: munici- pal bonds paying 7% interest per year, bank certificates paying 8%, and high-risk bonds paying 12%. For tax reasons she wants the amount invested in municipal bonds to be at least three times the amount invested in bank certificates. To keep her level of risk manage- able, she will invest no more than $2000 in high-risk bonds. How much should she invest in each type of bond to maximize her annual interest yield? [Hint: Let xr= amount in municipal bonds and y = amount in bank certificates. Then the amount in high-risk bonds will be 12,000 – x - y.]
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