$109.$ I just received a bill from the Lawn Doctor for my $2024$ lawn service. The bill was for a total of $$415$ for the whole year. Instead of making $5$ payments of $$83$ over the course of the year, they are offering a discount of $$20\mathrm{.}75$ if I make the payment by $\frac{3}{1}\frac{?}{2024}($so a total cost of $$394\mathrm{.}25).$ If I don't choose the one$-$payment option, assume the $5$ payments of $$83$ would be influence my decision? $($Hint: Find the present value of the $5$ payments$)$ Solution in excel