Problem $5-12$ Calculating Future Values $[$LO$1]$

Your coin collection contains $511952$ 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 $2061,$ assuming they appreciate at an annual rate of $4\mathrm{.}2$ percent?

Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$

Answer is complete but not entirely correct.

Future value