Derek plans to retire on his $65$ th birthday. However, he plans to work part$-$time until he turns

$72\mathrm{.}00.$ During these years of part$-$time work, he will neither make deposits to nor take

withdrawals from his retirement account. Exactly one year after the day he turns $72\mathrm{.}0$ when he

fully retires, he will begin to make annual withdrawals of $$190,488\mathrm{.}00$ from his retirement

account until he turns $89\mathrm{.}00.$ He he will make contributions to his retirement account from his

$26$th birthday to his $65$ th birthday. To reach his goal, what must the contributions be$?$ Assume a

$9\mathrm{.}00\%$ interest rate.

Answer format: Currency: Round to: $2$ decimal places.

Derek plans to retire on his $65$th bjrthday. However, he plans to work part$-$time until he turns

$72\mathrm{.}00.$ During these years of part$-$time work, he will neither make deposits to nor take

withdrawals from his retirement account. Exactly one year after the day he turns $72\mathrm{.}0$ when he

fully retires, he will begin to make annual withdrawals of $$170,437\mathrm{.}00$ from his retirement

account until he turns $89\mathrm{.}00.$ After this final withdrawal, he wants $$1\mathrm{.}73$ million remaining in his

account. He he will make contributions to his retirement account from his $26$th birthday to his

$65$ th birthday. To reach his goal, what must the contributions be$?$ Assume a $5\mathrm{.}00\%$ interest rate.

Answer format: Currency: Round to: $2$ decimal places.