Your client has been given a trust fund valued at $$1\mathrm{.}19$ million. He cannot access the money untll he turns $65$ years old, which is in $30$

years. At that time, he can withdraw $$20,500$ per month.

If the trust fund is invested at a $4\mathrm{.}0$ percent rate, how many months will it last your client once he starts to withdraw the money?

Note: Assume annual compoundling. Do not round Intermedlate calculations and round your final answer to $2$ decimal places.