Mary Altidore invested $$6,000$ at $5\%$ annual interest, and left the money invested without withdrawing any of the interest for $8$ years. At the end of the $8$ years, Mary withdrew the accumulated amount of money.

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$($For calculation purposes, use $5$ decimal places as displayed in the factor table provided.$)$

$($a$)$ What amount did Mary withdraw, assuming the investment earns simple interest?

The amount Mary withdrew

$

$($b$)$ What amount did Mary withdraw, assuming the investment earns interest compounded annually? $($Round answer to $2$ decimal places, e$.$g$.25\mathrm{.}25.)$

The amount Mary withdrew

$