Your pickup truck is high mileage and needing replacement. You have purchased a brand new F$250$ XLT $4$ door pickup truck. You were able to negotiate a total cost of $$38,000$ for this vehicle. For convenience, you decided to trade your vehicle in$,$ and the dealership is offering $$5,000$ for your car as a trade in$.$ You have decided to finance this vehicle for $7$ years through Texas Tech Federal Credit Union for $4\mathrm{.}9\%.$ After making payments on your vehicle for two years, what is the balance remaining on the loan?

A$.$ $$28,435$

B$.$ $$24,694$

C$.$ $$25,000$

D$.$ $$26,885$