Answer:
option A is correct, i.e. $13.02
Explanation:
Given the information "For the first 15 days of a 31-day billing cycle, his balance was $1440, but then he paid off his entire balance and didn't make any new purchases."
It means Average Daily Balance = (15 x 1440) / 31 = $696.77
Given his credit card's APR is 22%, Interest rate = r = 22/36500 = 0.00060274
Billing cycle = 31 days.
Interest = Average daily balance x Interest rate x Billing cycle.
Interest = $696.77 x 0.00060274 x 31 = 13.01910564 ≈ $13.02
Hence, option A is correct, i.e. Interest = $13.02