Explanation Given information: A $25000 vehicle depreciates $2000 a year as it ages. Repair costs are $1500 per year. Calculation: From the given information, a $25000 vehicle depreciates $2000 a year as it ages. Repair costs are $1500 per year. For t = 0 , value of vehicle V = 25000 For t = 1 , value of vehicle V = 25000 − 2000 = 23000 and repair costs to date C = 1500 For t = 1 , value of vehicle V = 23000 − 2000 = 21000 and repair costs to date C = 3000 The formula to figure out slope of a line is m = y 2 − y 1 x 2 − x 1 Here ( x 1 , y 1 ) and ( x 2 , y 2 ) are any two points on the line. To find the linear function V ( t ) : We consider two points on the line as ( x 1 , y 1 ) ≡ ( 0 , 25000 ) and ( x 2 , y 2 ) ≡ ( 1 , 23000 ) The slope of the given line can be figure out as follows m = 23000 −</ To determine (b) To find: One strategy is to replace a vehicle when the total cost of repairs is equal to the current value. Find this time. To determine (c) To find: Another strategy is to replace the vehicle when the value of the vehicle is some percent of the original value. Find the time when the value is 6%.

6th Edition

ISBN: 9781119399353

Author: DA

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Question

Chapter 1.2, Problem 31P

To determine

(a)

To find:

The formulas for each of the two linear functions at time t, value, V(t) and repair costs to date C(t). Graph them.

To determine

(b)

To find:

One strategy is to replace a vehicle when the total cost of repairs is equal to the current value. Find this time.

To determine

(c)

To find:

Another strategy is to replace the vehicle when the value of the vehicle is some percent of the original value. Find the time when the value is 6%.

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Chapter 1.2, Problem 30P

Chapter 1.2, Problem 32P

Chapter 1 Solutions

EBK APPLIED CALCULUS, ENHANCED ETEXT

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(a) To find: The formulas for each of the two linear functions at time t, value, V ( t ) and repair costs to date C ( t ) . Graph them.

Solution Summary: The author explains the formulas for each of the two linear functions at time t, value, V(t) and repair costs to date.

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(a)

To find:

The formulas for each of the two linear functions at time t, value, V(t) and repair costs to date C(t). Graph them.

(b)

To find:

One strategy is to replace a vehicle when the total cost of repairs is equal to the current value. Find this time.

(c)

To find:

Another strategy is to replace the vehicle when the value of the vehicle is some percent of the original value. Find the time when the value is 6%.

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Chapter 1 Solutions

(a) To find: The formulas for each of the two linear functions at time t, value, V ( t ) and repair costs to date C ( t ) . Graph them.

Solution Summary: The author explains the formulas for each of the two linear functions at time t, value, V(t) and repair costs to date.

Concept explainers

Videos

(a) To find: The formulas for each of the two linear functions at time t, value, V(t) and repair costs to date C(t). Graph them.

(b) To find: One strategy is to replace a vehicle when the total cost of repairs is equal to the current value. Find this time.

(c) To find: Another strategy is to replace the vehicle when the value of the vehicle is some percent of the original value. Find the time when the value is 6%.

Want to see the full answer?

Chapter 1 Solutions

(a)

To find:

The formulas for each of the two linear functions at time t, value, V(t) and repair costs to date C(t). Graph them.

(b)

To find:

One strategy is to replace a vehicle when the total cost of repairs is equal to the current value. Find this time.

(c)

To find:

Another strategy is to replace the vehicle when the value of the vehicle is some percent of the original value. Find the time when the value is 6%.