PLEASE WRITE WITH COMPLETE WORKING AND ANSWER, I WILL NOT HESITATE TO RATE RIGHT AWAY IF BOTH ANSWERS ARE CORRECT

You buy a house for $240000, and take out a 30-year mortgage at 7% interest. For simplicity, assume that interest compounds continuously. A) What will be your annual mortgage payment? $ per year B) Suppose that regular raises at your job allow you to increase your annual payment by 3% each year. For simplicity, assume this is a nominal rate, and your payment amount increases continuously. How long will it take to pay off the mortgage? years