How much larger will the value of an RRSP be at the end of $20$ years if the contributor makes month$-$end contributions of $$500,$ instead of year$-$end contributions of $$6,000?$ In both cases the RRSP earns $7\mathrm{.}5\%$ compounded semiannually. $($Do not round intermediate calculations and round your final answer to $2$ decimal places.$)$

The RRSP will be $ larger