You have just deposited $$12,500$ into an account that promises to pay you an annual interest rate of $6\mathrm{.}8$ percent each year for the next $4$ years. You will leave the money invested in the account and $10$ years from today, you need to have $$31,740$ in the account. What annual interest rate must you earn over the last $6$ years to accomplish this goal?

Multiple Choice

$11\mathrm{.}79\%$

$10\mathrm{.}88\%$

$10\mathrm{.}72\%$

$13\mathrm{.}26\%$

$9\mathrm{.}43\%$