1. Suppose that a friend of yours, let's call him Keith, is thinking of buying his first home. Keith has considered his budget and believes he could afford monthly repayments of $1,800. His bank offers home loans at a fixed interest rate of 2.5% p.a. compounded monthly, with payments beginning at the end of the first month. (a) How much could Keith borrow if the loan is for 25 years? Give your answer rounded to the nearest dollar. (b) How much interest would Keith pay over life of the loan? Give your answer rounded to the nearest dollar