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Find the System of Equations to Model the Problem

Question 61

Multiple Choice

Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM:
-A $124,000 trust is to be invested in bonds paying 9%, CDs paying 8%, and mortgages paying 10%. The sum of the amount invested in bonds and the amount invested in CDs must equal the mortgage investment. To earn an $11,400 annual income from the investments, how much should the bank invest in each?Let x represent the amount invested in bonds, y the amount invested in CDs, and z the amount invested in mortgages.


A) Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM: -A $124,000 trust is to be invested in bonds paying 9%, CDs paying 8%, and mortgages paying 10%. The sum of the amount invested in bonds and the amount invested in CDs must equal the mortgage investment. To earn an $11,400 annual income from the investments, how much should the bank invest in each?Let x represent the amount invested in bonds, y the amount invested in CDs, and z the amount invested in mortgages. A) B) C) D)
B) Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM: -A $124,000 trust is to be invested in bonds paying 9%, CDs paying 8%, and mortgages paying 10%. The sum of the amount invested in bonds and the amount invested in CDs must equal the mortgage investment. To earn an $11,400 annual income from the investments, how much should the bank invest in each?Let x represent the amount invested in bonds, y the amount invested in CDs, and z the amount invested in mortgages. A) B) C) D)
C) Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM: -A $124,000 trust is to be invested in bonds paying 9%, CDs paying 8%, and mortgages paying 10%. The sum of the amount invested in bonds and the amount invested in CDs must equal the mortgage investment. To earn an $11,400 annual income from the investments, how much should the bank invest in each?Let x represent the amount invested in bonds, y the amount invested in CDs, and z the amount invested in mortgages. A) B) C) D)
D) Find the system of equations to model the problem. DO NOT SOLVE THIS SYSTEM: -A $124,000 trust is to be invested in bonds paying 9%, CDs paying 8%, and mortgages paying 10%. The sum of the amount invested in bonds and the amount invested in CDs must equal the mortgage investment. To earn an $11,400 annual income from the investments, how much should the bank invest in each?Let x represent the amount invested in bonds, y the amount invested in CDs, and z the amount invested in mortgages. A) B) C) D)

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