Question

A new automobile costs $23,782, but after one year it is worth $17,668. What is the percent of decrease in the value of the automobile?

A) 25%
B) 30%
C) 35%
D) 40%

Answer 1

The percent of decrease in the value of the automobile is approximately 25.7%.

Step-by-step explanation:

To find the percent of decrease in the value of the automobile, we need to determine the difference between the initial value and the final value, and then calculate what percentage the difference is of the initial value.

The initial value of the automobile is $23,782 and the final value after one year is $17,668. The difference between the two values is $23,782 - $17,668 = $6,114.

To calculate the percent of decrease, we divide the difference by the initial value and multiply by 100: ($6,114 / $23,782) * 100 = 0.257 * 100 = 25.7%

Therefore, the percent of decrease in the value of the automobile is approximately 25.7%.