Consider a person who invests in AAA-rated bonds, A-rated bonds, and B-rated bonds. The average yields are 6.5% on AAA bonds, 7% on A bonds, and 9% on B bonds. The person invests twice as much in B bonds as in A bonds. Let x, y and z represent the amounts invested in AAA, A, and B bonds, respectively. x + y + z = 10,000(total investment) 0.065x + 0.07y + 0.09z = 760(annual return) 2y – z = 0 Use the inverse of the coefficient matrix of this system to find the amount invested in each type of bond. Total Investment Annual Return $10,000 760

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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Consider a person who invests in AAA-rated bonds, A-rated bonds, and B-rated bonds. The average
yields are 6.5% on AAA bonds, 7% on A bonds, and 9% on B bonds. The person invests twice as much
in B bonds as in A bonds. Let x, y and z represent the amounts invested in AAA, A, and B bonds,
respectively.
x + y + z = 10,000(total investment)
0.065x + 0.07y + 0.09z = 760(annual return)
2y – z = 0
Use the inverse of the coefficient matrix of this system to find the amount invested in each type of bond.
Total Investment
Annual Return
$10,000
760
Transcribed Image Text:Consider a person who invests in AAA-rated bonds, A-rated bonds, and B-rated bonds. The average yields are 6.5% on AAA bonds, 7% on A bonds, and 9% on B bonds. The person invests twice as much in B bonds as in A bonds. Let x, y and z represent the amounts invested in AAA, A, and B bonds, respectively. x + y + z = 10,000(total investment) 0.065x + 0.07y + 0.09z = 760(annual return) 2y – z = 0 Use the inverse of the coefficient matrix of this system to find the amount invested in each type of bond. Total Investment Annual Return $10,000 760
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