Please help! A new car that sells for $21,000 depreciates (decreases in value) 16% per year. Write a function that models the value of the car. Find the value of the car after 3 years.


A) $8,602

B) $11,779

C) $12,899

D) $12,447

Respuesta :

Greetings!

Answer:

The function is:

21000 * (1 - [tex]\frac{16}{100}[/tex])[tex]^{n}[/tex]

The price after 3 years would be D) $12,447

Step-by-step explanation:

Because the value is depreciating, the price will decrease.

The function formula is:

Amount x (1 ± [tex]\frac{percentage}{100}[/tex])[tex]^{n}[/tex]

Where n is the amount of years and the ± is a + if the value is increasing, and a - if the value is depreciating.

So plug the values in, with a minus:

21000 * (1 - [tex]\frac{16}{100}[/tex])[tex]^{n}[/tex]


The price after 3 years would simply be the following equation:

21000 * (1 - [tex]\frac{16}{100}[/tex])[tex]^{3}[/tex]

Which gives the result 12446.7 or 12447 to 1.d.p

This means that the answer is D) $12,447!


Hope this helps!