Sophie is planning to buy a house. She needs to take out a mortgage for 120000 She is considering two possible options. Option 1: Repay the mortgage over 20 years, at an annual interest rate of 5%, compounded annually. Option 2: Pay $1000 every month, at an annual interest rate of 6%, compounded annually, until the loan is fully repaid. Calculate the monthly repayment using option 1. [2 marks] Calculate the total amount Sophie would pay, using option 1. [2 marks] Calculate the number of months it will take to repay the mortgage using [3 marks] ption 2 Il