# include <iostream>
# include <cmath>
using namespace std;

int main()
{
float loanAmount;// the loan amount

float interest;// the interest rate
float interest1;
float monthPay;// how many months
float payment;// the amount to be paid
float temp;// temperary


cout << "Welcome to The Loan Analysis Program! \n";
cout << "Please enter the loan amount, the maximum amount is 500,000\n";
cin >> loanAmount; // pass in the amount of the loan
cout << "Enter the annual interest rate as a decimal:\n";
cin >> interest; // pass in the amount of interest
cout << "Enter the number of monthly payments: ";
cin >> monthPay; // how many months your going to be paying over
interest1= interest*100; // mods the interest, put it into another variable
cout << "   \n\n\n\n          Loan Summary                ";
cout << "\n\n\n\nAnnual Interest Rate:             "<<interest1<< "\nNumber of Monthly Payments        " << monthPay << 
"\n\n";

cout << "Your Loan amount is               " << loanAmount;// Payment math
float temp3;// used to divide the bottom of the payment variable
                // First equation blow to find the payment
temp= pow((1+(interest/12)), monthPay)*loanAmount;
payment= temp*(interest/12);
temp3= pow((1+(interest/12)),monthPay)-1;
payment=payment/temp3;


// Second equation below


cout << "\nYour monthly payment is:        $ "<< payment;
float k; // the exponent
float balance;// Halway Through

k=monthPay/2;
float n= k-monthPay;


balance=payment*( 1-(pow ((1+(interest/12)),n))/(interest/12));
float balance2;// the new balance

cout << "\nHalfway though your balance is: $" << balance;

payment=monthPay*payment; payment=payment-loanAmount; 
cout << "\nYour total interest paid is:    $ " << payment;
 return 0;
 }