Bob makes his first $$750$ deposit into an IRA earning $6\mathrm{.}5\%$ compounded annually on the day he turns $23$ and his last $$750$ deposit on the day he turns $52(30$ equal deposits in all$).$ With no additional deposits, the money in the IRA continues to earn $6\mathrm{.}5\%$ interest compounded annually until Bob retires on his $65$ th birthday. How much is the IRA worth when Bob retires?

Value of the IRA on Bob's $65$ th birthday: $