Jill currently has $$353,414\mathrm{.}00$ in a brokerage account. The account pays a $15\mathrm{.}5$ percent annual interest rate. Assuming that Jill makes no additional contributions to the account, how many years will it take for her to have $$964,146\mathrm{.}00$ in the account?

$7\mathrm{.}46$

$6\mathrm{.}46$

$5\mathrm{.}96$

$7\mathrm{.}96$