Final answer:
To calculate the total cost of the car including a 5.12% sales tax, convert the tax rate to a decimal and multiply by the car's price, then add the result to the original price. The total comes to $23,641.49.
Step-by-step explanation:
The student asked how to find the total cost of a new car including the sales tax when the price of the car without tax is $22,490 and the sales tax rate is 5.12%.
First, we need to calculate the amount of sales tax by converting the percentage to a decimal. This is done by dividing the percentage by 100, so 5.12% becomes 0.0512. We then multiply this decimal by the price of the car to find the amount of tax:
$22,490 × 0.0512 = $1,151.49
To find the total cost including sales tax, we add the amount of tax to the original price:
$22,490 + $1,151.49 = $23,641.49
Therefore, the total cost of the car including sales tax is $23,641.49.