a . Answer V ( t ) = 49810 ( 7 8 ) t Explanation It is known that the value of a wheelchair conversion van that originally cost $49,810 depreciates so that each year it is worth 7 8 of its value for the previous year. So, the value of the van after t years can be modeled as: V ( t ) = 49810 ( 7 8 ) t b. To determine To find: the value of the van 4 years after it was purchased. Answer $ 29 , 197.71 Explanation Given: The value of the van after t years is modeled as: V ( t ) = 49810 ( 7 8 ) t ….. (1) The value of the van after 4 years is found by substituting t = 4 in equation (1), V ( 4 ) = 49810 ( 7 8 ) 4 ≈ $ 29197.71

4th Edition

ISBN: 9781337516853

Author: Larson

Publisher: CENGAGE CO

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Question

Chapter 3.1, Problem 65E

a .

To determine

To find: model for V(t) , the value of the van after t years.

a .

Expert Solution

Answer to Problem 65E

V(t)=49810(78)t

Explanation of Solution

It is known that the value of a wheelchair conversion van that originally cost $49,810 depreciates so that each year it is worth 7 8 of its value for the previous year.

So, the value of the van after t years can be modeled as:

V(t)=49810(78)t

To determine

To find: the value of the van 4 years after it was purchased.

Expert Solution

Answer to Problem 65E

$29,197.71

Explanation of Solution

Given:

The value of the van after t years is modeled as:

V(t)=49810(78)t ….. (1)

The value of the van after 4 years is found by substituting t=4 in equation (1),

V(4)=49810(78)4≈$29197.71

Chapter 3.1, Problem 64E

Chapter 3.1, Problem 66E

Chapter 3 Solutions

EBK PRECALCULUS W/LIMITS

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

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model for V ( t ) , the value of the van after t years.

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To find: model for V(t) , the value of the van after t years.

Answer to Problem 65E

Explanation of Solution

To find: the value of the van 4 years after it was purchased.

Answer to Problem 65E

Explanation of Solution

Chapter 3 Solutions