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5. Elmer takes out a $100,000 loan for a house. He pays money back at a rate of $12,000 per year. The bank charges him

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5. Elmer takes out a $100,000 loan for a house. He pays money back at a rate of $12,000 per year. The bank charges him interest at a nominal annual interest rate of 8.5% per year compounded continuously. Write a differential equation whose solution is B(t), the balance he owes the bank at time t. (Take t = 0 to be the time Elmer takes out the loan.)

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