SOLUTION: Suppose you invest a certain amount of money in an account that earns 4% annual interest and $2000 more than that in an account that pays 5% annual interest. If the total interest

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Question 214679: Suppose you invest a certain amount of money in an account that earns 4% annual interest and $2000 more than that in an account that pays 5% annual interest. If the total interest brom both accounts at the end of the year is $370, how much is invested in each account?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the amount invested at 4% and x+$2000 = the amount invested at 5%.
The interest earned on these two amounts ($370) can be expressed by:
0.04x%2B0.05%28x%2B2000%29+=+370 Simplify.
0.04x%2B0.05x%2B100+=+370 Combine the x-terms.
0.09x%2B100+=+370 Subtract 100 from both sides.
0.09x+=+270 Divide both sides by 0.09
x+=+3000 and x%2B2000+=+5000
$2,000 was invested at 4% and $5,000 was invested at 5%.