Final answer:
To calculate the monthly payment on a car loan, use the formula: Monthly Payment = (Loan Amount × Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months)). Plugging in the values, the monthly payment on this car loan is $645.62.
Step-by-step explanation:
To calculate the monthly payment on a car loan, we need to use the formula:
Monthly Payment = (Loan Amount × Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
First, we need to calculate the loan amount after the down payment. The down payment is 10% of $24,000, which is $2,400. So, the loan amount is $24,000 - $2,400 = $21,600.
The monthly interest rate is 5% divided by 12 (months), which is 0.05 / 12 = 0.00417.
The number of months is 36.
Plugging these values into the formula, we get:
Monthly Payment = ($21,600 × 0.00417) / (1 - (1 + 0.00417)^(-36)) = $645.62
Therefore, your monthly payment will be $645.62.