A new car that sells for $18,000 depreciates 25% each year. Find the value of the car after 4 years to the nearest cent.

Respuesta :

qop

Answer:

$5,695.31

Step-by-step explanation:

We can use the following formula to solve:

[tex]A=P(1-r)^t[/tex]

P = principal value

r = rate (decimal)

t = time (years)

The first step is to change 25% into a decimal:

25% ->[tex]\frac{25}{100}[/tex] -> 0.25

Now, plug the values into the equation:

[tex]A=18,000(1-0.25)^4[/tex]

[tex]A=5,695.31[/tex]

The value of the car will be $5,695.31