Kayla has a balance of $1479 on her credit card. Since she is unable to pay off the balance in full at the end of the month, the credit card company will charge her 2% interest per month on the outstanding balance at the end of each month. She plans on paying $X each month until the card is paid off in full.
1. Write a recursive rule for Kayla's credit card balance a_n, after the credit card company charges her the monthly interest.
2. To the nearest dollar, find value of X that will hold the card balance steady at $1479, after interest.
3.Kayla is considering whether to pay the card off at a rate of $65 per month or $130 per month. For each monthly payment, find the number of months required to pay the card off in full, and the total amount paid.
