Your client has been given a trust fund valued at $$1\mathrm{.}60$ million. She cannot access the money until she turns $65$ years old, which is in $15$

years. At that time, she can withdraw $$25,000$ per month.

If the trust fund is invested at a $5\mathrm{.}5$ percent rate, how many months will it last your client once she starts to withdraw the money?

Note: Do not round intermediate calculations and round your final answer to $2$ decimal places.