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.
A) $12,000
B) $24,000
C) $10,000
D) $1000
E) $6000

Question

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.
A) $12,000 
B) $24,000 
C) $10,000 
D) $1000 
E) $6000

Quizplus · Accepted Answer

The Answer of 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.
A) $12,000 
B) $24,000 
C) $10,000 
D) $1000 
E) $6000

You Invest in AAA-Rated Bonds, A-Rated Bonds, and B-Rated Bonds