Darcy began making monthly contributing to his RRSP at the age of $24.$ His average monthly contribution, starting $1$ month after his $24$th birthday, was $$125$ and his RRSP earned interest at an average rate of $7\mathrm{.}5\%$ compounded monthly. Darcy stopped making contributions when he retired at the age of $50$ and started to withdraw a pension from his RRSP$.$

a$.$ Determine the amount in Darcy$$s RRSP on his $50$th birthday.

b$.$ Darcydecidestore$-$investthetotalamountofhisRRSPtoprovideanannuity

for his monthly income during his retirement. Suppose Darcy was able to obtain the same average interest rate and chose a $20-$year term for his annuity. What monthly pension could he withdraw for the next $20$ years?

Please show all steps and don't just copy and paste what is already on this webstite. thank you.