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Sally Medavoy will invest $$10,240$ a year for $20$ years in a fund that will earn $10\%$ annual interest.

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If the first payment into the fund occurs today, what amount will be in the fund in $20$ years? If the first payment occurs at year$-$end, what amount will be in the fund in $20$ years? $($Round factor values to $5$ decimal places, es$.1\mathrm{.}25124$ and final answers to $0$ decimal places, es$.458,581\mathrm{.}1$

First payment today $ $$

First payment at year$-$end $ $$

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