Using the Design Recipe, write an algorithm for each of the following programming problems, showing all work (i.e., Contract, Purpose Statement, Examples and Algorithm):

5.Write a program that reads two times in military format (e.g., 0900, 1730) and prints the number of hours and minutes between the two times. Note that the first time can come before or after the second time.

6.An online bank wants you to create a program that shows prospective customers how their deposits will grow. Your program should read the initial balance and the annual interest rate. Interest is compounded monthly. Print out the balance for each of the first three months.

7.A video club wants to reward its best members with a discount based on the members number of movie rentals and the number of new members referred by the member. The discount is in percent and is equal to the sum of the rentals and the referrals, but it cannot exceed 75 percent. The program shows the user the discount rate awarded.