Jill currently has $$388,856\mathrm{.}00$ in a brokerage account. The account pays a $13\mathrm{.}4$ percent annual interest rate. Assuming that Jill makes no additional contributions to the account, how many years will it take for her to have $$1,419,788\mathrm{.}00$ in the account?

$12\mathrm{.}3$

$10\mathrm{.}8$

$11\mathrm{.}3$

$11\mathrm{.}8$

$10\mathrm{.}3$