You have moved to Melbourne to start your life and decide to get into the property market as soon

as possible. The house price is high and you want to save the money for some years $($months$)$ before

you could afford the down$-$payment $($initial payment$)$ of the house. In this part, we will program to

calculate how long you need to save for make the payment of the house.

There are few rules $($variables$)$ you need to define to calculate:

$$ Call the cost of your home total$\_$cost$.$

$$ Call the portion of the cost needed for a initial payment portion$\_$down$\_$payment. For simplicity,

assume that portion$\_$down$\_$payment $=0\mathrm{.}15(15\%).$

$$ Call the amount that you have saved so far as current$\_$savings. You start with a current

savings of $0.$

$$ Assume that you invest your current savings wisely, with an annual return of r $($in other words,

at the end of each month, you receive an additional current$\_$savings $$ r$/12$ funds to put into

your savings $$ the r is an annual rate$).$ Assume that your investments earn a return of r $=0\mathrm{.}04.$

$$ Assume your annual salary is annual$\_$salary.

$$ Assume you are going to dedicate a certain amount of your salary each month to saving for the

down payment. Call that portion$\_$saved. This variable should be in decimal form.

$$ At the end of each month, your savings will be increased by the return on your investment,

plus a percentage of your monthly salary $($annual$\_$salary$/12).$