Megan turns $30$ years old today. She currently has $$34,000$ in her account. She must make monthly deposits of $ beginning next month and ending on her ${65}^{th}$ birthday $(420$ total deposits$)$ in order to reach her retirement goal of making monthly withdrawals of $$10,000$ per month beginning one month after her ${65}^{th}$ birthday and ending on her ${90}^{th}$ birthday at which time she wants to have $$1,100,000$ remaining in her account. Assume a $7\%$ p$.$a$.$ interest rate.

a$.675\mathrm{.}04$

b$.651\mathrm{.}93$

c$.661\mathrm{.}63$

d$.705,23$

e$.662\mathrm{.}26$

In $2023,$ an NBA superstar signed a new contract. The contract has a "total value" of $$10932$ million. According to the contract, the player will receive $$30\mathrm{.}57$ million today $)=(0$; $$38\mathrm{.}15$ million in $)=(1$; and $$40\mathrm{.}60$ million in $)=(2.$ Assume that the interest rate is $6\mathrm{.}1\%$ p$.$a$.,$ the present value of his new contract at year $)=(0$ is $

a$.103,10$ million

b$.101\mathrm{.}79$ million

c$.104\mathrm{.}50$ million

d$.102\mathrm{.}59$ million