You buy a car in 2017 for $25,000. The value decreases by 16% each year. How much will the car be worth

in 2022? Round your answer to the nearest penny, 2 decimal places.

Respuesta :

Answer:

The appropriate answer is "10,455.29856".

Step-by-step explanation:

According to the question,

The time will be:

⇒  t = [tex]2022-2017[/tex]

⇒    = [tex]5[/tex]

On applying formula, we get

⇒ [tex]f(t)=25000(1-.16)^t[/tex]

On substituting the value of "t", we get

⇒ [tex]f(5)=25000(1-.16)^5[/tex]

⇒         [tex]=25000(0.84)^5[/tex]

On solving the power, we get

⇒         [tex]=25000\times 0.4182119424[/tex]

⇒         [tex]=10,455.29856[/tex]