Margaret Altidore invested $$6,800$ at $6\%$ annual interest, and left the money invested without withdrawing any of the interest for $12$ years. At the end of the $12$ years, Margaret 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 Margaret withdraw, assuming the investment earns simple interest?

The amount Margaret withdrew

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

The amount Margaret withdrew