Sarah paid $18,444 for a new car last week. This price was 6 percent above the vehicle’s invoice price. What was the dollar amount of the invoice price?

Respuesta :

Answer:

vehicle's invoice price is:

$17,400

Step-by-step explanation:

Sarah paid $18,444 for a new car last week.

This price was 6 percent above the vehicle’s invoice price.

Let the vehicle's invoice price be x.

⇒ [tex]\dfrac{100+6}{100}\times  x=18444[/tex]

⇒ [tex]\dfrac{106}{100}\times x=18444[/tex]

⇒ [tex]x=\dfrac{100}{106}\times 18444[/tex]

⇒ x=17400

Hence,  vehicle's invoice price is:

$ 17,400

The percentage is the ratio of an increased amount to the total amount. Then the amount of invoice price is 17400 dollars.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

Sarah paid $18,444 for a new car last week.

This price was 6 percent above the vehicle’s invoice price.

Let the invoice price be X. Then we have

X × (1.06) = $18444

            X = $17400

The amount of invoice price is 17400 dollars.

More about the percentage link is given below.

https://brainly.com/question/8011401