The effort required to maintain a scanning electron microscope is known to increase by a fixed percentage each year. A high$-$tech equipment maintenance company has offered it services for a fee of $$25,000$ for the first year $($i$.$e$.,$ end of year $1)$ with

increases of $6\%$ per year thereafter. If a biotechnology company wants to pay for a $3-$year contract up front to take advantage of a temporary tax loophole, how much should it be willing to pay if it uses an interest rate of $15\%$ per year?