A home buyer wants a mortgage for a $100,000 house, at a rate of about 6%. They would like to know what monthly payment to expect. The monthly payment on a 30-year mortgage is given by the formula f(p, r) = (1200 1000p (1 - (1 + r/1200) - 360) where p is the amount of money borrowed (the principal, in thousands of dollars) and the yearly interest rate is a percentage r. The buyer makes some initial estimates using r = 3 and p = 100 such that f = 22, , ~ 56, fo ~ 4. Using multivariable calculus, show how the monthly payment can be estimated on a $110,000 loan at 2.875%, without the use of a calculator