A total of $20,000 is invested in two corporate bonds that pay 3.5% and 5% simple interest. The investor wants an annual interest income of $775 from the investments. What amount should be invested in the 3.5% bond?

Algebra and Trigonometry (6th Edition)
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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 $20,000 is invested in two corporate bonds that pay 3.5% and 5% simple interest. The investor
wants an annual interest income of $775 from the investments. What amount should be invested in the 3.5%
bond?
Step 1
Let x = amount of money invested at 3.5%.
Let y = amount of money invested at 5%.
We know'that a total of $20,000 is invested in both the bonds. Therefore,
x + y = 20000
A 20,000
The annual interest income should be $775 from the investments. Therefore,
0.035
0.035 x + 0.05y = 775
775
Step 2
The system of equatiors is as follows.
y = 20,000
0.035x + 0.05y = 775
Equation 1
Equation 2
x +
First solve Equation 1 for x in terms of y.
Submit
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Transcribed Image Text:A total of $20,000 is invested in two corporate bonds that pay 3.5% and 5% simple interest. The investor wants an annual interest income of $775 from the investments. What amount should be invested in the 3.5% bond? Step 1 Let x = amount of money invested at 3.5%. Let y = amount of money invested at 5%. We know'that a total of $20,000 is invested in both the bonds. Therefore, x + y = 20000 A 20,000 The annual interest income should be $775 from the investments. Therefore, 0.035 0.035 x + 0.05y = 775 775 Step 2 The system of equatiors is as follows. y = 20,000 0.035x + 0.05y = 775 Equation 1 Equation 2 x + First solve Equation 1 for x in terms of y. Submit Skip (you cannot come back)
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