Engineering Economic Analysis

Every step will be helpful, how to find the APR using interpolation in part (a). The same for part (b). I need help, setting up the table for the graph in part (c). I want to understand it based off of the chapters readings without using excel. I did see the similar examples but they were not very helpful.

7-85 Some lenders charge an up-front fee on a loan, which is added to what the borrower owes. This is typically described as "points" (where one point equals 1% of the loan amount). The federal government requires that this be accounted for in the APR that discloses the loan's cost. (a) A 30-year mortgage for $220,000 has monthly payments at a 6% nominal annual rate. If a bor- rower's loan origination fee is 3% (3 points) and it is added to the initial balance, what is the true effective cost of the loan? What would the APR be? (b) If the house is sold after 6 years and the loan is paid off, what is the effective interest rate and the APR? (c) Graph the effective interest rate as the time to sell the house and pay off the loan varies from 1 to 15 years