Your coin collection contains $551940$ silver dollars. If your grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in $2043,$ assuming they appreciate at an annual rate of $12$ percent?

Multiple Choice

$$6,453,852\mathrm{.}34$

$$6,582,929\mathrm{.}38$

$$269,348\mathrm{.}86$

$$6,260,236\mathrm{.}77$

$$6,131,159\mathrm{.}72$