New balance= unpaid balance + Finance charge + new purchases
Finance charge = unpaid times rate
Payments done are: $150 + $60 = $210
Previous balance= $478.68
Unpaid balance= Previous - (payments + credits) = $478.68 - $210 - $89.95 = $178.73
Finance charge = $178.73 times 0.0185 = 3.306505 (which must be rounded to the cent) = $3.31
Therefore,
New Balance = unpaid + Finance charge + new purchases
New Balance = $178.73 + $3.31 + ($38.50+65.74 + 125.61)
New Balance = $411.89