You are are debating about whether to buy a new car for $19,072.00 or a used car for $15,635.00 sales tax is 4.5% you plan to make a down payment of $1,200.00 and a credit rating is fair. What is the difference in interest accrued by the end of the first month.

To determine the difference in interest accrued by the end of the first month, we need to calculate the interest payments for both options.

For the new car:
The price of the new car is $19,072.00.
Sales tax is 4.5% of $19,072.00, which is 0.045 * $19,072.00 = $859.24.
So the total price of the new car with sales tax is $19,072.00 + $859.24 = $19,931.24.
If you make a down payment of $1,200.00, the loan amount for the new car would be $19,931.24 - $1,200.00 = $18,731.24.
Considering a fair credit rating, we will assume an average interest rate of 3% per year.
The interest for the first month would be (3/12) * $18,731.24 = $46.83.

For the used car:
The price of the used car is $15,635.00.
Sales tax is 4.5% of $15,635.00, which is 0.045 * $15,635.00 = $703.58.
So the total price of the used car with sales tax is $15,635.00 + $703.58 = $16,338.58.
If you make a down payment of $1,200.00, the loan amount for the used car would be $16,338.58 - $1,200.00 = $15,138.58.
Considering a fair credit rating, we will assume an average interest rate of 3% per year.
The interest for the first month would be (3/12) * $15,138.58 = $37.85.

The difference in interest accrued by the end of the first month would be $46.83 - $37.85 = $8.98.

!ake it step by step with out words please

Sure, I'll break it down step by step:

For the new car:
1. Price of the new car: $19,072.00
2. Sales tax: 4.5% of $19,072.00 = $859.24
3. Total price of the new car with sales tax: $19,072.00 + $859.24 = $19,931.24
4. Down payment: $1,200.00
5. Loan amount for the new car: $19,931.24 - $1,200.00 = $18,731.24
6. Interest rate (fair credit rating): 3% per year
7. Interest for the first month: (3/12) * $18,731.24 = $46.83

For the used car:
1. Price of the used car: $15,635.00
2. Sales tax: 4.5% of $15,635.00 = $703.58
3. Total price of the used car with sales tax: $15,635.00 + $703.58 = $16,338.58
4. Down payment: $1,200.00
5. Loan amount for the used car: $16,338.58 - $1,200.00 = $15,138.58
6. Interest rate (fair credit rating): 3% per year
7. Interest for the first month: (3/12) * $15,138.58 = $37.85

The difference in interest accrued by the end of the first month would be $46.83 - $37.85 = $8.98.