SOLUTION: In investing $6,950 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple interest. The rest was invested in a riskier mini-mall de

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Question 1123392: In investing $6,950 of a couple's money, a financial planner put some of it into a savings account paying 4% annual simple interest. The rest was invested in a riskier mini-mall development plan paying 13% annual simple interest. The combined interest earned for the first year was $638. How much money was invested at each rate?

Answer by jerryguo41(197) About Me  (Show Source):
You can put this solution on YOUR website!
The system of equations:
1. A financial planner put some of it into a savings account paying 4% annual simple interest. The rest was invested in a riskier mini-mall development plan paying 13% annual simple interest. The combined interest earned for the first year was $638.
.04%2AX%2B.13%2AY=638
2. investing $6,950 of a couple's money
X%2BY=6950
System:
.04%2AX%2B.13%2AY=638
X%2BY=6950
Rewrite and Plug-In
.04%2AX%2B.13%2AY=638 && X=6950-Y
.04%286950-Y%29%2B.13%2AY=638
278-0.04%2AY%2B0.13%2AY=638
-0.04%2AY%2B0.13%2AY=360
0.09%2AY=360
Y=360%2F0.09
Y=4000
X=6950-Y
X=6950-4000
X=2950
$4000 was invested in the risky mini-mall dev plan, while $2950 was invested in the savings account.