Question $8$ of $8$

$-13$

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On your child's $1$st birthday, you open an account to fund his college education. You deposit $$800$ to open the account. Each year, on his birthday, you make another deposit. Each subsequent deposit is $6\mathrm{.}5\%$ larger than immediately after the deposit on his $18$ th birthday? $

Carry all interim calculations to $5$ decimal places and then round your final answer to the nearest dollar. The tolerance is $+-50.$