Hannah just borrowed $$61,000\mathrm{.}00.$ She plans to repay this loan by making a special payment of $$9,200\mathrm{.}00$ in $2$ years and by making regular annual payments of $$6,551\mathrm{.}52$ per year until the loan is paid off. If the interest rate on the loan is $10\mathrm{.}50$ percent per year and she makes her first regular annual payment of $$6,551\mathrm{.}52$ immediately, then how many regular annual payments of $$6,551\mathrm{.}52$ must Hannah make?

$$14\mathrm{.}96$ payments

$$17\mathrm{.}76$ payments

$$19\mathrm{.}47$ payments

$$13\mathrm{.}94$ payments

the answer cannot be obtained with the given information