The dollar value v(t) of a certain car model that is t years old is given by the following exponential function. v(t)=27500(0.88)^t find the initial value of the car and the value after 13 years. round your answers to the nearest dollar as necessary.

Current value is $27500 and the value after 13 years will be $20417.

Step-by-step explanation:

The dollar value v(t) of a certain car model in t years is given by the exponential function

Now we have to find the initial value and the value after 13 years.

Therefore to calculate the initial value of the car v(0)=27500\times(.88)^{0}

= 27500×1 (since

So the current value of the car is $27500.

Now we will calculate the value of car after 13 years.

v(13) =

Now we take the log on both the sides of the equation

                  = 4.44 + 13log(88÷100)

                  = 4.44 + 13( log88 - log100)

                  = 4.44+ 13(1.94-2)

     log v(13)= 4.44 - 13(.056)

                  = 4.44- 0.72

                  = 3.72

⇒ v(13) = = 20417.38 ≈ $20417

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;