You want to buy a new sports car $3$ years from now, and you plan to save $$6,200$ per year, beginning one year from today. You will deposit your savings in an account that pays $5\mathrm{.}2\%$ interest. How much will you have just after you make the $3$rd deposit, $3$ years from now?

a$.$ $$19,779\mathrm{.}80$

b$.$ $$17,233\mathrm{.}89$

c$.$ $$24,284\mathrm{.}12$

d$.$ $$19,583\mathrm{.}96$

e$.$ $$22,521\mathrm{.}56$