Solve
-The resale value R (in dollars) of a company car after t years is estimated to be given by What is the rate of depreciation (in dollars per year) after 4 years?

A) -$1641/yr
B) -$1953/yr
C) -$15,529/yr
D) -$1378/yr

Question

Solve
-The resale value R (in dollars) of a company car after t years is estimated to be given by  What is the rate of depreciation (in dollars per year) after 4 years?

A) -$1641/yr 
B) -$1953/yr 
C) -$15,529/yr 
D) -$1378/yr

Quizplus · Accepted Answer

To find the rate of depreciation after 4 years, we need to find the derivative of R with respect to t and evaluate it at t=4.

Taking the derivative, we get:

R' = -55000e^(-0.06t)

Plugging in t=4, we get:

R'(4) = -1952.87...

So the rate of depreciation after 4 years is approximately $1953 per year (option B).

Solve -The Resale Value R (In Dollars) of a Company Car