31) over the last 2 years my car has depreciated in value by 20%. today it is worth $17,500. what was it…

31) over the last 2 years my car has depreciated in value by 20%. today it is worth $17,500. what was it worth 2 years ago?

31) over the last 2 years my car has depreciated in value by 20%. today it is worth $17,500. what was it worth 2 years ago?

Answer

Explanation:

Step1: Let the original value be $x$.

The car has depreciated by 20%, so its current value is $(1 - 0.20)x=0.8x$.

Step2: Set up the equation.

We know that $0.8x = 17500$.

Step3: Solve for $x$.

$x=\frac{17500}{0.8}=21875$.

Answer:

$21875$