the depreciation on the value of a forklift over time is based on the equation v(t)=p(0.8)^t, where p…

the depreciation on the value of a forklift over time is based on the equation v(t)=p(0.8)^t, where p represents the original price and v(t) represents the value of the forklift after t years. what does the original price of the forklift have to be if it is worth $20,000 after 5 years? round the answer to the nearest dollar if needed. the original price of the forklift has to be for it to be worth $20,000 after 5 years. 5490 61035 61036 6554

the depreciation on the value of a forklift over time is based on the equation v(t)=p(0.8)^t, where p represents the original price and v(t) represents the value of the forklift after t years. what does the original price of the forklift have to be if it is worth $20,000 after 5 years? round the answer to the nearest dollar if needed. the original price of the forklift has to be for it to be worth $20,000 after 5 years. 5490 61035 61036 6554

Answer

Answer:

$61035$

Explanation:

Step1: Substitute values into formula

Given $V(t)=P(0.8)^t$, $V(t) = 20000$, $t = 5$. So $20000=P(0.8)^5$.

Step2: Solve for $P$

First, calculate $(0.8)^5=0.32768$. Then $P=\frac{20000}{0.32768}\approx61035$.