Suppose that $1000 is deposited into an account that pays 5% interest per year, at the end of each year, the amount in the account is 1.05 times the amount at the beginning of the year. Write a MATLAB program with a for loop to calculate the amount in the account after 10, 20, and 30 years. Repeat problem 1, assuming that the interest is compounded quarterly; that is, one-fourth of the annual interest (1.25%) is added to the account every three months. Also, repeat the problem with monthly compounding. For the account described in Problem 1, write a MATLAB program with a while loop to determine the number of years required for the amount in the account to reach $5,000