You have found an annuity that will pay $4\mathrm{.}75\%$ annually and you plan to put $$1,000$ into the annuity each year for $12$ years. To the nearest dollar, what would be the

value of this annuity after $12$ years?

A$.$ $$18,233$

B$.$ $$15,689$

C$.$ $$13,456$

D$.$ $$12,048$