In C++ please

4.A. (10 points) You've recently started using a credit card and if you don't pay your credit card balance in full each month, your credit card company will charge you interest every day on the remaining balance. You can calculate how much interest you pay per day by converting your APR (Annual Percentage Rate) to a Daily Percentage Rate by dividing it by 365. Multiply this daily rate with your current balance at the end of each day to get the daily interest charge. Add this charge to your balance the next day, a process called compounding. For instance, if your credit card has an APR of 15%, it will have a daily rate of .041096%. Thus, an outstanding balance of $1000 at the end of the day will become $1000.41096 the next day. This process occurs each day, such that at the end of the month, the initial $1000 balance becomes $1013 when interest charges are applied at 15% APR. Write an algorithm that calculates how many months it takes your balance to reach $1000 if the following are true: 1. Your credit card has an APR of 15% 2. You spend $200 on your credit card per month 3. You pay the minimum balance of $50 per month, but no more 4. Each month has 30 days 4.B. (5 points) Make changes to the above algorithm so that the user can input values for APR, spending each month, and how much they pay off each month. Is there a scenario where the algorithm will not terminate (maybe enter an infinite loop)? If so, make changes to the algorithm so that it always terminates