You have just taken out a $$15,000$ car loan with a $6\%$ APR, compounded monthly. The loan is for $5$ years. When you make your first payment in one month, how much of the payment will go toward the principal of the loan and how much will go toward interest? $($Note: Be careful not to round any intermediate steps less than six decimal places.$)$

The amount of your first payment that will go toward the interest of the loan is $ $($Round to the nearest cent.$)$