Answer: [tex]A=15000(1.30)^t[/tex]
Step-by-step explanation:
Formula to find the price of an item after t years after withe a depreciation rate of r% is [tex]A=P(1-\dfrac{r}{100})^t[/tex], where P = Initial value of item.
Given: P = $15,000, r= 30%
Then, the value of car after t years will be :
[tex]A= 15000(1+\dfrac{30}{100})^t\\\\\Rightarrow\ A=15000(1+0.30)^t\\\\\Rightarrow\ A=15000(1.30)^t[/tex]
The required general formula for the value of the car t years after its purchase:
[tex]A=15000(1.30)^t[/tex]