Answer:
5 months
Step-by-step explanation:
Since, time-to-pay off formula for a credit card is,

Where, P is owing amount,
r is rate per period,
M is payment per period,
Here, P = $ 2,264.96,
M = $ 500.00 per month
APR = 14.7 % = 0.147 ⇒ r = 
Hence, the number of months does it take to pay off the balance,


Therefore, It will take approx 5 months to pay off the balance.