What is g(x) in case solving by fixed point method

1. Suppose you save money by making regular monthly deposits of amount P and the bank nd of N provides you an annual interest rate of I, then the total amount of annuity due at the e deposits could be given by 712 e you save $250 per month for 20 years, so that the total value of payments and interest is $250,000 at the end of 20 years. Calculate the annual interest rate needed to achieve your goal, by iteratively conforming to three significant figures using Eixed. Point L. Assum method. All intermediate steps should be clear and legible on a sheet of paper. Comment on the role of initial starting guess and the choice of gx) in using this method. (30 points) i. Calculate and plot the true, approximate, relative true, and relative approximate errors from the Fixed-Point method as a function of the number of iterations. Plots should be clearly labeled and legible. (25 points) ili. Determine the annual interest rate using Wegstein's iterative approximation. Perform the first four iterations only. Use either Excel or calculator. At the end of 4 iterations, what is your tolerance and number of significant figures? iy (25 points) 1. Suppose you save money by making regular monthly deposits of amount P and the bank nd of N provides you an annual interest rate of I, then the total amount of annuity due at the e deposits could be given by 712 e you save $250 per month for 20 years, so that the total value of payments and interest is $250,000 at the end of 20 years. Calculate the annual interest rate needed to achieve your goal, by iteratively conforming to three significant figures using Eixed. Point L. Assum method. All intermediate steps should be clear and legible on a sheet of paper. Comment on the role of initial starting guess and the choice of gx) in using this method. (30 points) i. Calculate and plot the true, approximate, relative true, and relative approximate errors from the Fixed-Point method as a function of the number of iterations. Plots should be clearly labeled and legible. (25 points) ili. Determine the annual interest rate using Wegstein's iterative approximation. Perform the first four iterations only. Use either Excel or calculator. At the end of 4 iterations, what is your tolerance and number of significant figures? iy (25 points)