You just got your dream job and are thinking about your future. You ask your employer to start a $401K$ account and use direct deposit from your check to deposit funds into this account. You are not sure how much you will need to retire on$,$ but figure that you can spare $$197\mathrm{.}00$ each month.

A$)$ How much will you have in the account by the end of $35$ years if the account pays $8\mathrm{.}4\%$ compounded monthly?

B$)$ How much interest will you have earned?

After you have been contributing to your retirement account for those $35$ years, you decide you are ready to retire and expect that you will need to have monthly withdraws for the next $25$ years.

C$)$ How much will you be able to withdraw each month from your account if it still pays $8\mathrm{.}4\%$ compounded monthly?

D$)$ How much interest will you have earned during the withdrawing?

E$)$ How much interest did the bank pay you in total?

F$)$ Considering what the cost of living might be in the future, do you think that the monthly withdrawal amount will be enough to live off of$?$ Explain why.