Your parents are considering a 30-year, $100,000 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. If a_n represents the amount owed after n months, what are a₀ and a₃₆₀? Experiment by building numerical solutions to find a value of p that works.