Jonathan is buying a car today. The car costs R388877 and he can afford to make monthly payments of R13824 at the end of every month. He must pay interest at a rate of 7.503% per year compounded monthly. If the last payment Jonathan makes can be smaller than R13824, how many payments must Jonathan make to repay the car loan?

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Jonathan koop vandag 'n kar. Die kar kos R388877 en hy kan bekostig om maandelikse paaiemente van R13824 te maak aan die einde van elke maand. Hy moet rente betaal teen 'n koers van 7.503% per jaar, maandeliks saamgestel. Indien die laaste paaiement wat Jonathan maak kleiner as R13824 kan wees, hoeveel paaiemente moet Jonathan maak om die kar af te betaal?