Elizabeth has $$31,209\mathrm{.}00$ in an investment account. Her goal is to have the

account grow to $$118,806\mathrm{.}00$ in $15$ years without having to make any

additional contributions to the account. What effective annual rate of

interest would she need to earn on the account in order to meet her goal?

$10\mathrm{.}32\%$

$10\mathrm{.}82\%$

$9\mathrm{.}32\%$

$9\mathrm{.}82\%$

$11\mathrm{.}32\%$