$5$ Jordan Shipp plans to make $6$ anmual deposits of $$500$ each into an account eaming $8\mathrm{.}4$ percent $($per year$)$ compounded monthly. If the first deposit is made today and the last deposit is made at $t=5,$ how much will be in the account at $t=12$ if no more deposits were made after $t=5?($Draw a time line.$)$

a$.$ $$6173\mathrm{.}85$

b$.$ $$6712\mathrm{.}89$

c$.$ $$6846\mathrm{.}62$

d$.$ $$6636\mathrm{.}78$

e$.$ $$6516\mathrm{.}46$