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Dafna1 [17]
3 years ago
12

A retired woman has $40,000 to invest. She has chosen one relatively safe investment fund that has an annual yield of 9% and ano

ther riskier fund that has a 13% annual yield. How much should she invest in each fund if she would like to earn $4,000 per year from her investments?
Mathematics
1 answer:
nalin [4]3 years ago
4 0

She should invest $30000 in the 9% fund and $10000 in the 13% fund.

<u><em>Explanation</em></u>

Suppose, the amount of investment at 9% rate is  x dollar.

As the total amount of investment is $40000 , so the investment at 13% rate will be: (40000-x) dollar

So, the amount of earnings per year from 9% fund = 0.09x dollar

and the amount of earnings per year from 13% fund = 0.13(40000-x) dollar.

Given that, the <u>total earnings per year is $4000</u>. So the equation will be......

0.09x+0.13(40000-x)=4000\\ \\ 0.09x+5200-0.13x=4000\\ \\ -0.04x=4000-5200\\ \\ -0.04x= -1200\\ \\ x= \frac{-1200}{-0.04}=30000

So, the amount of investment at 9% fund is $30000 and the amount of investment at 13% fund = ($40000- $30000)= $10000

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