Question

Aliyah bought a car for $32,000. It is now worth $5000 less than half of what she purchased it for. To the nearest tenth of a percent , find the percent decrease in the value of the car.

Answer 1

32,000 x 0.5 = 16000

16000- 5000 = 11000

11000 / 32000= 0.34375

1- 0.344= 0.656

Answer : D

Answer 2

The percent decrease in the value of the car is 65.6%.

Given that,

The purchase value of the car is $32,000.

The worth of the car is now $5,000 that should be lower than the half of purchased value i.e.

= 50% of $32,000 - $5,000

= $16,000 - $5,000

= $11,000

Now the percentage of decrease in the value of the car is

$= \frac {(\ 32,000 - \ 11,000)}{\ 32,000} \\\\= \frac{\ 21,000}{\ 32,000}$

= 65.6%

Therefore we can conclude that the percentage of decrease in the value of the car is 65.6%.

Therefore, all the other options are incorrect.

Learn more about the percentage here: brainly.com/question/2724587