Respuesta :

y=a(b)^x
y=$18,000(.85)^4
y=$9,396.11
Approximate value in after four years is $9,396.11

Initial Value of car = $18,000

And the value decreases at about 15% per year.

it means P=$18,000

r= 15% = 0.15

For decreasing , we have a formula

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

Lets plug the values in the formula

[tex] A=18,000(1-0.15)^{t} [/tex]

Now it says to find the value of car after four years, So plug t=4

[tex] A=18,000(1-0.15)^{4} [/tex]

[tex] A=18,000(0.85)^{4} [/tex]

[tex] A=18,000(0.52200625) [/tex]

[tex] A=9396.1125 [/tex]


So the value of car after 4 years will be $9396.1125