A new car is purchased for $32,500. The car depreciates every year ata rate of 14%. Write an exponential function that represents that situation

Step-by-step explanation:

General exponentially depreciating function is given as

------------(1)

Where a is initial value, b is percent depreciation/unit time  and x is time

Here

Substituting above values in equation (1)

At x=0

At x=1

1,645,493,059.35

step-by-step explanation:

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