While buying a new car, Phillip made a down payment of $$800\mathrm{.}00$ and agreed to make month$-$end payments of $$250\mathrm{.}00$ for the next $3$ years and $9$ months. If she was charged an interest rate of $3\mathrm{.}00\%$ compounded quarterly for the entire term, answer the following, rounding to the nearest cent.

a$.$ What was the cost of the car when Phillip purchased it$?$