Your coin collection contains $401946$ 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 $2032,$ assuming they appreciate at an annual rate of $8$ percent?

Multiple Choice

$$5,730\mathrm{.}12$

$$29,058\mathrm{.}60$

$$29,957\mathrm{.}32$

$$28,459\mathrm{.}45$

$$30,556\mathrm{.}47$