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You invest in AAA-rated bonds, A-rated bonds, and B-rated bonds.Your average yield is 6% on AAA bonds, 9% on A bonds, and 9% on B bonds.You invest twice as much in B bonds as in A bonds.The desired system of linear equations (where
and
represent the amounts invested in AAA, A, and B bonds, respectively) is as follows.
Use the inverse of the coefficient matrix of this system to find the amount invested in A bonds for the given a total investment of $45,000 and annual return of $3780.
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