/*

	File Name :	 hw4.cpp
	Author:		Derek Wood	
	Instructor:	Dr. Wang
	Compilation:	g++ hw4.cpp -o hw4.out
	Execution:	./hw4.out
	Goal:	

*/

#include <iostream>
#include <iomanip>	// setprecision

using namespace std;

int main()
{
	float bal, pmt, i;
	int n,k;

	cout << fixed << showpoint << setprecision(2);

	n = 36;
	pmt = 165.25;
	i = 0.09/12.0;

	// output ..
	cout<< "Number of Payments:\t " << n << endl;
	cout << "Monthly payment:\t$" << pmt << "\n";
	cout << "Annual Interest Rate:\t" << i*12*100 << "%\n";

	// computing for 1st payment
	k = 1;

	bal = pmt * ((1-pow(1+i,k-n))/i);
	cout << "\nBalance after " << k << " payment(s) is: $" << bal << "\n";
	
	k = 2;

	bal = pmt * ((1-pow(1+i,k-n))/i);
        cout << "Balance after " << k << " payment(s) is: $" << bal << "\n";

	k = 3;
        
        bal = pmt * ((1-pow(1+i,k-n))/i);
        cout << "Balance after " << k << " payment(s) is: $" << bal << "\n";

	return 0;

}