Step-by-step answer:
The compounding period is not indicated.
The general market practice for loans is compounded monthly, so this will be assumed.
interest = 4% (APR) = (0.04/12) per month (for monthly compounding)
The loan balance at the end of two years will therefore be
Balance = 38250 * (1+0.04/12)^(2*12)
= 38250 *(1+1/300)^(24)
= 41430.22 (to the nearest cent)