Ms$.$ Demeanor had a new POS $($point$-$of$-$sale$)$ installed in her office. The balance owing on the contract is $$23,500$ which includes equipment and installation fees. The contract permits individual payments on the account whenever possible, but the final balance must be paid two years $(24$ months$)$ from now. Starting today, interest will accumulate on the balance at $3\mathrm{.}25\%$ compounded monthly. Ms$.$ Demeanor will make a payment of $$52006$ months from now and $$630020$ months from now. What is the final balance owing on the account in two years $(24$ months from now$)?$ Practice drawing a timelipe in your own notes.

a$.$ $$19,616\mathrm{.}61$

b$.$ $$18,707\mathrm{.}51$

c$.$ $$13,248\mathrm{.}09$

d$.$ $$13,244\mathrm{.}60$