Chuck's Publishing, Inc. borrows $$30,000$ from Citicorp to finance the purchase of a new office cooling system. The loan has an interest rate of $12\%$ and Chuck's will be required to make annual payments for the next $3$ years. Fill in the following loan amortization schedule for this transaction. $(8$ points$)$

$\backslash$table$[[$Year$,$Payment,Interest Paid,Principle paid,Balance$],[0,---,--,$$$30,000,],[1,,,,],[2,,,,],[3,,,,]]$