A new car is purchased for $40,000 and over time its value depreciates by one half every 3 years. What is the value of the car 17 years after it was purchased, to the
nearest hundred dollars?

9514 1404 393

  $800

Step-by-step explanation:

The value formula can be written ...

  y = 40,000(1/2)^(t/3)

Using t=17, this becomes ...

  y = 40,000(1/2)^(17/3) ≈ 800

The value of the car after 17 years is about $800.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

step-by-step explanation: