Write javascript programs to compute the following:

1. the amount due to compound interest for a principal investment of $10,000 compounded quarterly (compoundings is 4) with an annual rate of 15%, for 35 years.

2. the effective rate of Problem #1.

3. the monthly annuity (amortized loan payment or regular payment) for a home loan of $250,000 at 5% APR (periodic interest rate: .05/12=.4167) for 30 years (number of payments:12*30=360).

4. the remaining balance for Problem #19, after 241 payments have been made. Save this program as Lastname-Firstname-Remaining-Balanced.js

17. Compound Interest Amount = Principal (1 + Rate Compoundings x Time Compoundings 18. Effective Rate Rate Effective Rate = (1+ Compoundings Compoundings -1 19. Amortized Loan Payment Amortized Loan Payment = Amount Borrowed x Periodic Interest Rate x (1 + Periodic Interest Rate) Number of Payments (1 + Periodic Interest Rate) Number of Payments - 1 OR Amount Borrowed x Periodic Interest Rate Amortized Loan Payment = 1-(1 + Periodic Interest Rate)-Number of Payments OR Periodic Interest Rate Amortized Loan Payment = Amount Borrowed x (Periodic Interest Rate + (1 + Periodic Interest Rate) Number of Payments - 1 20. Remaining Balance (1-(1 + Periodic Interest Rate)-(Number of Payments-Number of Payments Already Made) Remaining Balance = Regular Payment Periodic Interest Rate