Mia plans to save for retirement starting at the age of $35($year $0).$ She will make a payment at

the beginning of each year until age $64.$ Starting from age $65,$ she will withdraw $100,000$ USD

every year for $20$ years until her age of $84.$ Her account balance will reach to $$0$ at the beginning

of her age $85.$ The retirement plan Mia is looking at provides a interest rate of $10\%$ annually.

What would be the fair annual payment for $30$ years of this retirement plan?

$$5175\mathrm{.}61$

$$4275\mathrm{.}33$

$$5293$

$$53669$