If $$3,500$ is borrowed at $5\mathrm{.}5\%$ interest, find the amounts due at the end of $3$ years if the interest is compounded as follows. $($Round your answers to the nearest cent.$)$

$($i$)$

annually

$

$($ii$)$

quarterly

$

$($iii$)$

monthly

$

$($iv$)$

weekly

$

$($v$)$

daily

$

$($vi$)$

hourly

$

$($vii$)$

continuously

$

$($b$)$

Suppose $$3,500$ is borrowed and the interest is compounded continuously. If

A$($t$)$

is the amount due after t years, where

t

graph

A$($t$)$

for each of the interest rates $6\%,8\%,$ and $10\%$ on a common screen.