$(20$ pt$)$ You deposit $$10,000$ initially and $$5,000$ at the end of each year. The account pays $5\%$ annual interest.

a$.$ Use a while loop in MATLAB to determine how many years it will take to accumulate $$1,000,000$ in your bank account

b$.$ How much will you have in your bank account at the end of $10$ th year?

c$.$ Write a function called $\text{'}$f$\_$millionaire' based on what you created for $($a$),$ which received $4$ inputs $($target amount of money, the annual interest rate, initial deposit, annual saving$)$ and provides $1$ output $($the years it takes to achieve the target money you select as the input$).$

d$.$ Validate the function you created by running it and checking if you get the same result as what you got from $($a$).$