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A prize fund is set up with a single investment of $5000 to provide an annual prize of $500. The fund is invested to earn

A prize fund is set up with a single investment of $5000 to provide an annual prize of $500. The fund is invested to earn interest at a rate of 7% compounded annually. If the first prize is awarded 1 year after the initial investment, find the number of years for which the prize can be awarded before the fund falls below $500.

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