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Svetlana won $1,000,000 in a content to be paid in twenty $50,000 payments at yearly intervals, the first payment paid at the time of the
Svetlana won $1,000,000 in a content to be paid in twenty $50,000 payments at yearly intervals, the first payment paid at the time of the contest. Svetlana decided to keep X each year to spend and deposit the remaining amount ($50,000- X) into an account earning an annual effective interest rate of 5%. She chose the value X to be as large as possible so that, at the moment of the 20th deposit the account would have grown to such a size that it would provide Svetlana and her heirs at least X per year in interest forever. Find X
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