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A loan of 30,000 made on January 1, 2000 is to be repaid by monthly payments on the last date of each month, starting January

A loan of 30,000 made on January 1, 2000 is to be repaid by monthly payments on the last date of each month, starting January 31, 2000. The first payment is 1500, the second is 1400, the third is 1300, the fourth 1200, the fifth 1100, and the sixth and subsequent payments are 1000 each for as long as necessary with a final smaller payment one month after the final regular payment. Find the date and amount of the final smaller payment if i(12) = 0.12.

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