   Chapter 13.2, Problem 54E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Depreciation The rate of depreciation of a building is given by D ' ( t )   =   3000 ( 20   −   t ) dollars per year, 0 ≤ t ≤ 20 ; see the figure in Problem 53.(a) Use the graph to find the total depreciation of the building over the first 20 years.(b) Use a definite integral to find the total depreciation over the first 20 years.(c) Use the graph to find the total depreciation between 10 years and 20 years and check it with a definite integral.

(a)

To determine

To calculate: The total depreciation of the building over the first 20 years from t=0 to t=20 from the graph where the rate of depression is given by D(t)=3000(20t) dollars per year. Explanation

Given Information:

The provided figure is:

Formula used:

The area of a triangle is 12×base×height.

Calculation:

Consider the figure

.

The area of the shaded region represents the total depreciation of the building over the first 20 years.

Since, the region is a triangle.

Recall that area of a triangle is 12×base×height.

Since height is the length from t=0 to t=20

(b)

To determine

To calculate: The total depreciation of the building over the first 20 years from t=0 to t=20 from the graph where the rate of depression is given by D(t)=3000(20t) dollars per year using definite integral. (c)

To determine

To calculate: The total depreciation of the building between 10 years and 20 years from t=10 to t=20 from the graph and check it with definite integral where the rate of depression is given by D(t)=3000(20t) dollars per year. ### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

#### Find more solutions based on key concepts 