A linear function that models the data of energy used per dollar of GDP, as a percent, with x equal to the number of years past 1980 and y equal to the energy used per dollar of GDP, as a percent.

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Answer 1

Question

Chapter 2.5, Problem 34E

(a)

To determine

A linear function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy used per dollar of GDP, as a percent.

(b)

To determine

A cubic function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy use per dollar of GDP, as a percent.

(c)

To determine

To graph: Models obtained in part (a) and (b) on the same axes.

(d)

To determine

The model which indicates that the percent of energy use may increase after $2035$ .

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8. An elementary single period market model has a risky asset with price So = 20 at the beginning and a money market account with interest rate r = 0.04 compounded only once at the end of the investment period. = = In market model A, S₁ 10 with 15% probability and S₁ 21 with 85% probability. In market model B, S₁ = 25 with 10% probability and S₁ = 30 with 90% probability. For each market model A, B, determine if the model is arbitrage-free. If not, construct an arbitrage. Total [9 Marks]

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Suppose we have a linear program in standard equation form maximize cTx subject to Ax = b. x ≥ 0. and suppose u, v, and w are all optimal solutions to this linear program. (a) Prove that zu+v+w is an optimal solution. (b) If you try to adapt your proof from part (a) to prove that that u+v+w is an optimal solution, say exactly which part(s) of the proof go wrong. (c) If you try to adapt your proof from part (a) to prove that u+v-w is an optimal solution, say exactly which part(s) of the proof go wrong.

Answer 2

Question

Chapter 2.5, Problem 34E

(a)

To determine

A linear function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy used per dollar of GDP, as a percent.

(b)

To determine

A cubic function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy use per dollar of GDP, as a percent.

(c)

To determine

To graph: Models obtained in part (a) and (b) on the same axes.

(d)

To determine

The model which indicates that the percent of energy use may increase after $2035$ .

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Answer 3

Question

Chapter 2.5, Problem 34E

(a)

To determine

A linear function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy used per dollar of GDP, as a percent.

(b)

To determine

A cubic function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy use per dollar of GDP, as a percent.

(c)

To determine

To graph: Models obtained in part (a) and (b) on the same axes.

(d)

To determine

The model which indicates that the percent of energy use may increase after $2035$ .

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Answer 4

Question

Chapter 2.5, Problem 34E

(a)

To determine

A linear function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy used per dollar of GDP, as a percent.

(b)

To determine

A cubic function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy use per dollar of GDP, as a percent.

(c)

To determine

To graph: Models obtained in part (a) and (b) on the same axes.

(d)

To determine

The model which indicates that the percent of energy use may increase after $2035$ .

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Answer 5

Chapter 2.5, Problem 34E

(a)

To determine

A linear function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy used per dollar of GDP, as a percent.

(b)

To determine

A cubic function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy use per dollar of GDP, as a percent.

(c)

To determine

To graph: Models obtained in part (a) and (b) on the same axes.

(d)

To determine

The model which indicates that the percent of energy use may increase after $2035$ .

Answer 6

Chapter 2.5, Problem 34E

(a)

To determine

A linear function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy used per dollar of GDP, as a percent.

Answer 7

Chapter 2.5, Problem 34E

(a)

To determine

A linear function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy used per dollar of GDP, as a percent.

Answer 8

(b)

To determine

A cubic function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy use per dollar of GDP, as a percent.

Answer 9

(b)

To determine

A cubic function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy use per dollar of GDP, as a percent.

Answer 10

(c)

To determine

To graph: Models obtained in part (a) and (b) on the same axes.

Answer 11

(c)

To determine

To graph: Models obtained in part (a) and (b) on the same axes.

Answer 12

(d)

To determine

The model which indicates that the percent of energy use may increase after $2035$ .

Answer 13

(d)

To determine

The model which indicates that the percent of energy use may increase after $2035$ .

Answer 14

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Answer 15

Expert Solution & Answer

Answer 16

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Answer 17

Ch. 2.1 - The factoring method for solving a quadratic...Ch. 2.1 - Solve the following equations by factoring. Ch. 2.1 - Prob. 3CP Ch. 2.1 - Prob. 4CP Ch. 2.1 - Prob. 1E Ch. 2.1 - Prob. 2E Ch. 2.1 - Prob. 3E Ch. 2.1 - Prob. 4E Ch. 2.1 - In Problems 5-14, solve each question by...Ch. 2.1 - Prob. 6E

A linear function that models the data of energy used per dollar of GDP, as a percent, with x equal to the number of years past 1980 and y equal to the energy used per dollar of GDP, as a percent.

Solution Summary: The author explains how the linear model fits the data of energy used per dollar of GDP, as a percent, for selected years from 1985 and projected to 2035.

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A linear function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy used per dollar of GDP, as a percent.

A cubic function that models the data of energy used per dollar of GDP, as a percent, with $x$ equal to the number of years past $1980$ and $y$ equal to the energy use per dollar of GDP, as a percent.

To graph: Models obtained in part (a) and (b) on the same axes.

The model which indicates that the percent of energy use may increase after $2035$ .

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Chapter 2 Solutions

A linear function that models the data of energy used per dollar of GDP, as a percent, with x equal to the number of years past 1980 and y equal to the energy used per dollar of GDP, as a percent.

Solution Summary: The author explains how the linear model fits the data of energy used per dollar of GDP, as a percent, for selected years from 1985 and projected to 2035.

Videos

To graph: Models obtained in part (a) and (b) on the same axes.

The model which indicates that the percent of energy use may increase after 2035<m:math><m:mrow><m:mn>2035</m:mn></m:mrow></m:math>.

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Chapter 2 Solutions

The model which indicates that the percent of energy use may increase after $2035$ .