Jonathan is buying a car today. The car costs R412766 and he can afford to make monthly payments of R12752 at the end of every month. He must pay interest at a rate of 7.242% per year compounded monthly. If the last payment Jonathan makes can be larger than R12752, how many payments must Jonathan make to repay the car loan?

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Jonathan koop vandag 'n kar. Die kar kos R412766 en hy kan bekostig om maandelikse paaiemente van R12752 te maak aan die einde van elke maand. Hy moet rente betaal teen 'n koers van 7.242% per jaar, maandeliks saamgestel. Indien die laaste paaiement wat Jonathan maak groter as R12752 kan wees, hoeveel paaiemente moet Jonathan maak om die kar af te betaal?