//Interest Rate Program
//	F = P{(1 + r/n))^(nt)}
/*	where F = future value of the investment after t years, 
	where P = present value of the investment (initial principal invested), 
	where r = annual compound interest rate (expressed as a decimal number), 
	where n = number of compounding periods per year, and 
	where t = time (expressed in years).  
*/
//Robert Walliczek
#include <iostream.h>
#include <iomanip.h>
#include <math.h>

float interate, interest;
float time, repeat_time;
float money;
double balance;
double x, y, z;

main()
{
	cout<<"Welcome. This program calculates monitary gain."<<endl<<endl;
	cout<<"Enter the amount of money in the account: ";
	cin>>money;
	cout<<"Enter the interest rate in percent: ";
	cin>>interest;
	cout<<"Enter the number of years: ";
	cin>>time;
	cout<<"Enter the # of times it's compounded per year: ";
	cin>>repeat_time;
	//x = 2;
	interate = interest/100;
	x = (1 + (interate / repeat_time));
	//z = (interate/repeat_time);
	//x = (money * (1+ z));
	y = (repeat_time * time);
	//double pow(double x, double y);
	z = pow(x, y);
	balance = money * z;
	//cout<<"The interest rate is: "<<interate<<"%..."<<endl;
	//cout<<"...Compounded "<<repeat_time<<" times..."<<endl;
	cout<<endl<<"Your balance after "<<time<<" years is: $";
	cout.setf(ios::fixed);
	cout<<setprecision(2)<<balance<<"."<<endl;
	return 0;
}