Question #f3694

1 Answer
Aug 28, 2017

The value of the car is never equal to zero for #x in RR#.

Explanation:

The function for the value of the car is given as #v = 40,000 (1- 0.3)^(x) = 40,000 (0.7)^(x)#

We need to find when the value is zero, so let's set #v# equal to zero:

#Rightarrow v = 0#

#Rightarrow 40,000 (0.7)^(x) = 0#

Dividing both sides by #40,000#:

#Rightarrow (0.7)^(x) = 0#

At this point, we cannot go any further algebraically to try and solve for #x#.

There are no real solutions to the equation.

Therefore, the value of the car is never equal to zero for #x in RR#.