- #1
themadhatter1
- 140
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Homework Statement
1.
A small corporation borrowed $1,500,000 to expand it's product line. Some of the money was borrowed at 8%, some at 9%, and some at 12%. How much was borrowed at each rate if the annual interest was $133,000 and the amount borrowed at 8% was 4 times the amount borrowed at 12%
2.
1. I know you could write the total money borrowed and interest equations as
a+b+c=1,500,000
.08a+.09b+.12c=133,000
However I don't know how to write the equation where the amount 'a' borrowed is 4 times the amount 'c' borrowed.
2.
A.
I'm not even sure how I'd start to write a system of equations for this.
Something like this?
x3+x4-x5+x6+x7+500=600
x1+x2-x3-x4+x5+600=500
Am I on the right track? What would you do with the constant at the end subtract it from the RHS of the equation?
1.
A small corporation borrowed $1,500,000 to expand it's product line. Some of the money was borrowed at 8%, some at 9%, and some at 12%. How much was borrowed at each rate if the annual interest was $133,000 and the amount borrowed at 8% was 4 times the amount borrowed at 12%
2.
Homework Equations
The Attempt at a Solution
1. I know you could write the total money borrowed and interest equations as
a+b+c=1,500,000
.08a+.09b+.12c=133,000
However I don't know how to write the equation where the amount 'a' borrowed is 4 times the amount 'c' borrowed.
2.
A.
I'm not even sure how I'd start to write a system of equations for this.
Something like this?
x3+x4-x5+x6+x7+500=600
x1+x2-x3-x4+x5+600=500
Am I on the right track? What would you do with the constant at the end subtract it from the RHS of the equation?