Matthew negotiates a purchase price of \(\$ 35,100\) for her new car. The sales tax in his area is \(7.25 \%\). His license, plates, and registration come to \(\$ 325.00\). The dealership charges him a \(\$ 900\) destination fee and a \(\$ 125\) processing fee. How much will he finance in total for the car?

Find the total cost to purchase the car.