$*2.$ II $($Financial application: investment amount$)$ Suppose you want to deposit a certain amount of money into a savings account with a fixed annual interest rate. What amount do you need to deposit in order to have $$5,000$ in the account after three years? The initial deposit amount can be obtained using the following formula:

initialDepositAmount $=\frac{\text{f}\text{i}\text{n}\text{a}\text{l}\text{A}\text{c}\text{c}\text{o}\text{u}\text{n}\text{t}\text{V}\text{a}\text{l}\text{u}\text{e}}{(1+\text{m}\text{o}\text{n}\text{t}\text{h}\text{l}\text{y}\text{I}\text{n}\text{t}\text{e}\text{r}\text{e}\text{s}\text{t}\text{R}\text{a}\text{t}\text{e}{)}^{\text{n}\text{u}\text{m}\text{b}\text{e}\text{r}\text{O}\text{f}\text{M}\text{o}\text{n}\text{t}\text{h}\text{s}}}$

Write a program that prompts the user to enter final account value, annual interest rate in percent, and the number of years, and displays the initial deposit amount. Here is a sample run:

Enter final account value: $1000$

F$-$Enter

Enter annual interest rate in percent: $4\mathrm{.}25$

$$ Enter

Enter number of years: $5-$Enter

Initial deposit value is $808\mathrm{.}8639197424636$