Final answer:
The statement is illogical because the interest accrued would be higher than the payment each month, resulting in an increasing balance over time.
Step-by-step explanation:
The statement is illogical. If a payment of $100 is made each month, assuming no more purchases, it would take approximately 11 months to pay off a debt of $1000, which accrues interest at an annual rate of 24.99%. However, the credit card company will continue to charge interest on any remaining balance each month until it is fully paid off. The interest accrued would be higher than the $100 payment each month, resulting in an increasing balance over time.
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