You buy a house for $380000 and you take out a 30-year mortgage at 7% interest. For simplicity, assume that interest compounds continuously. i) What will be your annual mortgage payment, P? ii) Suppose that regular wages at your job allow you to increase your annual payment by 3% each year. For simplicity, assume this is a nominal rate, and your payment amount increases continuously. How long will it take to pay off the mortgage?

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