An annuity of semi$-$annual payments of $$3000$ is made for $4$ years, at $10\%,$ compounded

semi$-$annually. What is the Future Value of this annuity after the $4$ years?

a$.$ $$28,647\mathrm{.}33$

b$.$ $$25,647\mathrm{.}33$

c$.$ $$4,200\mathrm{.}00$

d$.$ $$8,400\mathrm{.}00$