Suppose you invest $$4,000$ in an account that pays $8\mathrm{.}25\%$ interest per year, compounded quarterly.

$($a$)$ Find the amount $($in $$)$ after $2$ years. $($Round your answer to the nearest cent.$)$

$q$

$($b$)$ How long $($in yr$)$ will it take for the investment to triple? $($Round your answer to two decimal places.$)$

$yr$