Alexia negotiates a purchase price of \(\$ 17,850\) for her new car. The sales tax in her area is \(6.5 \%\). Her license, plates, and registration come to \(\$ 285.00\). The dealership charges her a \(\$ 600\) destination fee and a \(\$ 150\) processing fee. How much will she finance in total for the car?

Find the total cost to purchase the car.