f(x) = 8000 - (8000)(0.11)x
= 8000 - 880x
f(5) = 8000 - 880(5)
= 8000 - 4400
= 3600
Answer: $3,600
Answer:
$4467.25
Step-by-step explanation:
We have been given that a jet ski depreciates at 11% of its original value each year. The jet ski was $8,000 as it’s time of purchase.
We will exponential decay function to solve our given problem.
[tex]y=a\cdot(1-r)^x[/tex], where,
a = Initial value,
r = Decay rate in decimal form.
[tex]r=\frac{11}{100}=0.11[/tex]
[tex]y=\$8,000\cdot(1-0.11)^5[/tex]
[tex]y=\$8,000\cdot(0.89)^5[/tex]
[tex]y=\$8,000\cdot 0.5584059449[/tex]
[tex]y=\$4467.2475592[/tex]
[tex]y\approx \$4467.25[/tex]
Therefore, the value of ski jet after 5 years would be $4467.25.
