word problem

Question

A small business estimates that the value V(t) of a copy machine is  decreasing according to the function defined by

[V(t)=5000(2)^-0.15t] 

What is the number of years that have elapsed since the machine was purchased, and V(t) is in dollars?
What was the original value of the machine?
What is the value of the machine 5 years after purchased?
What is the value of the machine 10 years after purchased?
Graph the function.                       

Answer 1

The value of V(t) is needed to answer the first question.

The original value of 5000. That is in the formula.

 

V(5) = 5000(2)^-0.75

V(5) ≈ 5000(0.5946)

V(5) ≈ 2973.01

 

Do the same process as above with 10 in place of 5.