Question: You're purchasing a home with a price of $240,000. You have 20% in cash for the down payment, and the rest is being financed with

You're purchasing a home with a price of $240,000. You have 20% in cash for the down payment, and the rest is being financed with a 30-year mortgage with an annual interest rate of 3.85%.

a. What is the monthly payment?

b. Formulate a dynamical system that models the change in the amount owed on the home.

C. Generate a spreadsheet that gives the month and the balance of the mortgage at the end of each month.

d. Include a scatterplot of the data generated in part c.

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