$44.$ I need matlab code, show allwork. Will thumbs up$.$Write a program that calculates the balance of a savings account at the end of a three$-$month period. It should ask the user for the starting balance and the annual interest rate. A loop should then iterate once for every month in the period, performing the following steps:

A$)$ Ask the user for the total amount deposited into the account during that month and add it to the balance. Do not accept negative numbers.

B$)$ Ask the user for the total amount withdrawn from the account during that month and subtract it from the balance. Do not accept negative numbers or numbers greater than the balance after the deposits for the month have been added in$.$

C$)$ Calculate the interest for that month. The monthly interest rate is the annual interest rate divided by $12.$ Multiply the monthly interest rate by the average of that month's starting and ending balance to get the interest amount for the month. This amount should be added to the balance.

After the last iteration, the program should display a report that includes the following information:

starting balance at the beginning of the three$-$month period

total deposits made during the three months

total withdrawals made during the three months

total interest posted to the account during the three months

final balance