Mary Stahley invested $4500 in a 48-month certificate of deposit (CD) that earned 9.5% annual simple interest. When the CD matured, she invested the full amount in a mutual fund that had an annual growth equivalent to 21% compounded annually. How much was the mutual fund worth after 10 years? (Round your answer to the nearest cent.)

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Answer:

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Explanation:

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When calculating simple interest, the interest earned cannot earn any interest while in compound interest. The interest itself starts earning money when it is due.

This is the reason why compound interest gives a higher return.

We'll first find the maturity value of the CD at the end of 48 months ( 4years).

=4500 + 4500 ∗ 0.095 ∗ 4 = 6210

She will invested $6210 into the mutual fund

h= After 10 years

R= 21% compound interest

P(1 + R/100) h

6210 (1+21/100) 10 (note that it is raise to power 10

when you use your calculator to sum the above together, it will give you.

$ 41,777.75

Conclusively, the mutual fund worth after 10 years is $ 41,777.75.

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