Question

A car manufacturer announced that next year the price of a certain model car would increase by 4.5%. This year the price is $19,676. Find the increase and the new price. The increase in the price of the car is $ (Round to the nearest cent as needed.) The new price of the car is $ (Round to the nearest cent as needed.)

Answer 1

The price of the car after a 4.5% increase is calculated by multiplying the current price ($19,676) by the percentage increase, resulting in an increase of $885.42, making the new price $20,561.42.

Step-by-step explanation:

The correct answer is option Mathematics. To calculate the increased price and the new price of the car after a 4.5% increase, follow these steps:

1. Find the increase by multiplying the current price of the car by the percentage increase. The percentage increase of 4.5% is converted to a decimal by dividing by 100, resulting in 0.045.
2. Calculate the increase: $19,676 × 0.045 = $885.42.
3. Add the increase to the current price to get the new price: $19,676 + $885.42 = $20,561.42.

Therefore, the increase in the price of the car is $885.42 (rounded to the nearest cent), and the new price of the car is $20,561.42 (rounded to the nearest cent).