Bob makes his first $$1,000$ deposit into an IRA earning $8\%$ compounded annually on the day he turns $24$ and his last

$$1,000$ deposit on the day he turns $47(24$ equal deposits in all$).$ With no additional deposits, the money in the IRA continues

to earn $8\%$ 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: $