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A young professional wishes to have $ 8 2 0 0 0 0 in her retirement account. Its current value is $ 3 8 0

A young professional wishes to have $820000 in her retirement account. Its current value is $38000. She invests $500 monthly in the account which earns a 8.1% annual interest rate, with interest compounded monthly. Find the number of payments needed to reach her goal.

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