Paul is buying a new boat for $$10,000.$ The dealer is charging him an annual interest rate of $9\mathrm{.}7\%$ and is using the add$-$on method to compute his monthly payments

a$.$ If Paul pays off the boat in $60$ months, what are his monthly payments?

b$.$ If he makes a down payment of $$2,000,$ what are his monthly payments?

c$.$ If he wants to have monthly payments of $$200,$ how large should his down payment be$?$

Identify the problem$-$solving method that should be used Choose the correct answer below.

A$.$ The Three$-$Way Principle

B$.$ The Counterexample Principle

C$.$ Guessing Is OK

D$.$ Relate a New Problem to an Older One