Final answer:
The new price of the car after a 12% increase is $27,552.
Step-by-step explanation:
To find the new price of the compact car after a 12% increase, we can use the following formula:
New Price = Original Price + (Original Price x Percentage Increase)
Given that the original price is $24,600 and the percentage increase is 12%, we can substitute these values into the formula:
New Price = $24,600 + ($24,600 x 0.12)
Simplifying the equation, we get:
New Price = $24,600 + $2,952
New Price = $27,552
Therefore, the new price of the car after the increase is $27,552.