Simon recently received a credit card with an 18% nominal interest rate. With the card, he purchased an Apple iPhone 11 for $700. The minimum payment on the card is $20 per month.

a. If Simon makes the minimum monthly payment and makes no other charges, how many months will it be before he pays off the card?

b. If Simon makes monthly payments of $70, how many months will it be before he pays off the debt?

c. How much more in total payments will Simon make under the $20-a-month plan than under the $70-a-month plan? Make sure you use three decimal places for N.

Please show a step-by-step process to solve.