Your friend is celebrating her $35$th birthday today and wants to start saving for her anticipated retirement at age $65.$ She wants to be able to withdraw $$125,000$ from her savings account on each birthday for $20$ years following her retirement; the first withdrawal will be on her $66$th birthday. Your friend intends to invest her money in the local credit union, which offers $7\%$ interest per year. She wants to make equal annual payments on each birthday into the account established at the credit union for her retirement fund. a$.$ If she starts making these deposits on her $36$ th birthday and continues to make deposits until she is $65($the last deposit will be on her $65$th birthday$),$ what amount must she deposit annually to be able to make the desired withdrawals at retirement?

Present value of withdraw$=$ present value of saving

Withdraw every year $=125,000$

Rate $7\%$

Period after retirement $20$

Pva $$125$