SOLUTION: $6000 is divided between two investments earning 7% and 9% simple interest. I want to earn a total annual of $500 interest. What is the smallest amount I can invest at 9% to earn

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Question 598047: $6000 is divided between two investments earning 7% and 9% simple interest. I want to earn a total annual of $500 interest. What is the smallest amount I can invest at 9% to earn the annual $500 interest?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
$6000 is divided between two investments earning 7% and 9% simple interest.
I want to earn a total annual of $500 interest.
What is the smallest amount I can invest at 9% to earn the annual $500 interest?
:
Let x = amt invested at 9%
then
(6000-x) = amt invested at 7%
:
.07(6000-x) + .09x = 500
solve for x