SOLUTION: Two investments totaling $41,500 produce an annual income of $2895. One investment yields 9% per year, while the other yields 5% per year. How much is invested at each rate?

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Question 1181110: Two investments totaling $41,500 produce an annual income of $2895. One investment yields 9% per year, while the other yields 5% per year. How much is invested at each rate?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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Two investments totaling $41,500 produce an annual income of $2895.
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Compounding? Reinvestment every year?

You are probably looking for something like this:
h invested at 9%
41500-h invested at 5%

0.09h%2B0.05%2841500-h%29=2895
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0.09h%2B0.05%2A41500-0.05h=2895
%280.09-0.05%29h=2895-0.05%2A41500
h=%282895-0.05%2A41500%29%2F%280.09-0.05%29