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. O A. x+y+z=0 x+y-9z=124,000 0.1x+0.08y-0.09z - 11,400 OC. x+y-z=0 x+y+z=124,000 0.09x +0.08y + 0.1z=11,400 OB. x+y-z=0 x+y+z=124,000 9x+8y+z=11,400 OD. x+y-z=11,400 x-y+9z=22 8x+y+z=124,000
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. O A. x+y+z=0 x+y-9z=124,000 0.1x+0.08y-0.09z - 11,400 OC. x+y-z=0 x+y+z=124,000 0.09x +0.08y + 0.1z=11,400 OB. x+y-z=0 x+y+z=124,000 9x+8y+z=11,400 OD. x+y-z=11,400 x-y+9z=22 8x+y+z=124,000
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.1: Systems Of Linear Equations
Problem 84E: Use the system of three equations in three variables to solve each problem. Investment income A...
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Transcribed Image Text: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.
O A. x+y+z=0
x+y-9z=124,000
0.1x+0.08y-0.09z = 11,400
OC. x+y-z=0
x+y+z=124,000
0.09x +0.08y +0.1z=11,400
C
OB. x+y-z=0
x+y+z=124,000
9x+8y +z = 11,400
O D. x+y-z=11,400
x-y+9z=22
8x+y+z=124,000
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