Problem $2.$ Write a program that prompts the user to enter the amount of money they want to deposit on the first of each month. Interest for each month is calculated and paid based on the account balance at the end of the month. Using printf, print out the account balance to two decimal places. Assume the yearly interest rate is $5\%.$ Please declare a constant for the monthly interest rate as follows in your program:

final double MONTHLY$\_$RATE $=\mathrm{.}05/12$;

The following are how to calculate the account value at the end of each month:

month$1$Value: monthySaving $*(1+$MONTHLY$\_$RATE$)$

month$2$Value: $($monthly$1$Value $+$ monthlySaving$)*(1+$MONTHLY$\_$RATE$)$

month$3$Value: $($monthly$2$Value $+$ monthlySaving$)*(1+$MONTHLY$\_$RATE$)$

and so on$.$