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A farmer buys a new tractor for $156,000 and assumes that it will have a trade-in value of $84,000 after 10 years. The farmer uses a constant rate of depreciation to determine the annual value of the tractor. a. Find a linear model for the depreciated value V of the tractor t years after it was purchased. b. What is the depreciated value of the tractor after 6 years? c. When will the depreciated value fall below $80,000? d. Does the linear model seem to be a good representation of the depreciation of the tractor? Why or why not?

A farmer buys a new tractor for $156,000 and assumes that it will have a trade-in value of $84,000 after 10 years. The farmer uses a constant rate of depreciation to determine the annual value of the tractor. a. Find a linear model for the depreciated value V of the tractor t years after it was purchased. b. What is the depreciated value of the tractor after 6 years? c. When will the depreciated value fall below $80,000? d. Does the linear model seem to be a good representation of the depreciation of the tractor? Why or why not?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Answer this question on separate paper. Be sure to show all supportng work and give all interpretations as full sentences with proper units. Please note there are four parts to the problem. A farmer buys a new tractor for $156,000 and assumes that it will have a trade-in value of $84,000 after 10 years. The farmer uses a constant rate of depreciation to determine the annual value of the tractor. a. Find a linear model for the depreciated value V of the tractor t years after it was purchased. b. What is the depreciated value of the tractor after 6 years? c. When will the depreciated value fall below $80,000? d. Does the linear model seem to be a good representation of the depreciation of the tractor? Why or why not?
Transcribed Image Text:Answer this question on separate paper. Be sure to show all supportng work and give all interpretations as full sentences with proper units. Please note there are four parts to the problem. A farmer buys a new tractor for $156,000 and assumes that it will have a trade-in value of $84,000 after 10 years. The farmer uses a constant rate of depreciation to determine the annual value of the tractor. a. Find a linear model for the depreciated value V of the tractor t years after it was purchased. b. What is the depreciated value of the tractor after 6 years? c. When will the depreciated value fall below $80,000? d. Does the linear model seem to be a good representation of the depreciation of the tractor? Why or why not?
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