Your parents are considering a 30-year mortgage that charges 0.5% interest each month.
Formulate a model in terms of a monthly payment p that allows the mortgage (loan) to be paid off after 360 payments. Your parents can afford a monthly payment of $1500. Experiment to determine the maximum amount of money they can borrow.  If a_n represents the amount owed after n months, what are a₀ and a₃₆₀?