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Amy takes out a loan for $5000 with 5.25% compounded monthly today, and plans on paying back this loan with a $750 payment made at

Amy takes out a loan for $5000 with 5.25% compounded monthly today, and plans on paying back this loan with a $750 payment made at the end of each month for as long as necessary then a final payment to settle the debt one month after the last full payment. Find the number of full payments necessary and the size of the concluding payment.

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