Question

A new car is purchased for $49,000 and over time its value depreciates by one half every 5 years. What is the value of the car 21 years after it was purchased, to the nearest hundred dollars?

Answer 1

Answer: y=10700

Step-by-step explanation:

Y=a(1/2) ^t/h

A= 49000 h=5 t=11

Plug in: y=49000(1/2)^11/5

Y=10664.2444004

Y=10700

Answer 2

The value of the car after 21 years is $2666.06.

Important information:

• Initial value of car = $49000
• Value depreciates by one-half every 5 years.
• Time = 21 years

Depreciations:

According to the given information, the value of the car after n years is:

$V(n)=49000\left(\dfrac{1}{2}\right)^{\frac{n}{5}}$

Substitute $n=21$.

$V(n)=49000\left(\dfrac{1}{2}\right)^{\frac{21}{5}}$

$V(n)\approx 2666.06$

Therefore, the value of the car after 21 years is $2666.06.

Find out more about 'Depreciations' here:

https://brainly.com/question/71854