How the minimum payment is calculated
Most US issuers charge the greater of a percentage of the balance plus that month’s interest, or a floor amount such as $25, and never more than what you still owe. This calculator uses 1% of the balance plus accrued interest with a $25 floor - the most common formula in card agreements - and it applies the same rule to the whole balance each month as the balance falls.
Because the minimum is recalculated every month on a shrinking balance, the payment itself declines over time and the payoff date stretches out. Early on, most of what you send covers interest; only a little touches principal. That slow start is exactly the trap the fixed-payment comparison exposes, because a balance on minimums can linger for decades while still costing a fortune in interest.