Lauren just borrowed $$65,000\mathrm{.}00.$ She plans to repay this loan by making a special payment of $$8,200\mathrm{.}00$ in $4$ years and by making regular annual payments of $$7,662\mathrm{.}48$ per year until the loan is paid off. If the interest rate on the loan is $8\mathrm{.}79$ percent per year and she makes her first regular annual payment of $$7,662\mathrm{.}48$ immediately, then how many regular annual payments of $$7,662\mathrm{.}48$ must Lauren make?

$$11\mathrm{.}60$ payments

$$13\mathrm{.}47$ payments

$$12\mathrm{.}51$ payments

$$10\mathrm{.}84$ payments

the answer cannot be obtained with the given information