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