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Harshbarger and Reynolds - Math Applications 12/e (Homework)

James Finch

Math - College, section 1, Fall 2019

Instructor: Dr. Friendly

Current Score : 14 / 24

Due : Sunday, January 27, 2030 00:00 EST

Last Saved : n/a Saving...  ()

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Question
Points
1 2 3 4 5 6 7 8 9 10
1/1 1/1 2/3 4/6 1/2 0/1 4/7 1/1 0/1 0/1
Total
14/24 (58.3%)

  • Instructions

    Mathematical Applications for the Management, Life, and Social Sciences, 12th edition, published by Cengage Learning, engages students with its concept-based approach, multiple presentation methods, and relevant applications throughout. Intended for two-semester applied calculus or combined finite mathematics and applied calculus courses, the book places concepts in real-life contexts to help students strengthen their understanding. The WebAssign enhancement to this textbook, which includes an interactive eBook, is a fully customizable online solution that empowers students to learn, not just do homework. Insightful tools save time and highlight exactly where students are struggling. Students get an engaging experience, instant feedback, and better outcomes. A total win-win!

    Questions 1 and 2 have Master It Tutorials.

    Questions 1, 2, 5, 6, 7, 8, and 9 have Watch Its.

    Questions 1 and 2 have solutions.

    Question 1 shows equation grading based on entering the correct form of the equation.

    Question 6 grades the integral and enforces correct form and notation while also allowing all mathematically correct answers.

    Question 7 shows a Venn diagram so students can visually see which regions they are identifying.

    Question 8 uses the matrix tool, which allows students to define the size of the resulting matrix.

    Question 10 grades probability using the "to" operator. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

    The answer key and solutions will display after the first submission for demonstration purposes. Instructors can configure these to display after the due date or after a specified number of submissions.

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. 1/1 points  |  Previous Answers HarMathAp12 2.1.001.MI. My Notes
Question Part
Points
Submissions Used
1
1/1
5/100
Total
1/1
 
Write the equation in general form.
2x2 + 3 = x2 − 2x + 8
x2+2x−5=0
Correct: Your answer is correct. webMathematica generated answer key

Solution or Explanation
Set the equation up to equal 0.
(2 − 1)x2 + 2x + (3 − 8) = 0
Solve for each term.
x2 + 2x − 5 = 0

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2. 1/1 points  |  Previous Answers HarMathAp12 2.1.007.MI. My Notes
Question Part
Points
Submissions Used
1
1/1
3/100
Total
1/1
 
Solve the equation by factoring. (Enter your answers as a comma-separated list.)
25 − 4x2 = 0
x =
52​,−52​
Correct: Your answer is correct. webMathematica generated answer key


Solution or Explanation
Factor the left side of the equation.
(5 + 2x)(5 − 2x) = 0

Solve each factor for 0.
(5 + 2x) = 0
x = − 
5
2
or
(5 − 2x) = 0
x = 
5
2

Solution:
x = 
5
2
, − 
5
2
.

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3. 2/3 points  |  Previous Answers HarMathAp12 2.1.055. My Notes
Question Part
Points
Submissions Used
1 2 3
0/1 1/1 1/1
3/100 1/100 1/100
Total
2/3
 
The amount of airborne particulate pollution p from a power plant depends on the wind speed s, among other things, with the relationship between p and s approximated by
p = 16 − 0.01s2.
(a) Find the value(s) of s that will make
p = 0.
 (Enter your answers as a comma-separated list.)
s =
40.−40
Incorrect: Your answer is incorrect. webMathematica generated answer key

(b) What value of s from part (a) makes sense in the context of this application?
s = Correct: Your answer is correct. seenKey

40

What does
p = 0
 mean in this application?
p = 0
 means there the particulate level is at Correct: Your answer is correct. seenKey

0

 .
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4. 4/6 points  |  Previous Answers HarMathAp12 2.2.043. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6
1/1 1/1 1/1 0/1 0/1 1/1
1/100 2/100 1/100 2/100 3/100 2/100
Total
4/6
 
The owner of an apartment building can rent all 60 apartments if she charges $500 per month, but she rents one fewer apartment for each $20 increase in monthly rent.
(a) Construct a table that gives the revenue generated if she charges $500, $520, and $540.
No. of Apts  Rent  Total Revenue
60  $500  $ Correct: Your answer is correct. seenKey

30,000
59  $520  $ Correct: Your answer is correct. seenKey

30,680
58  $540  $ Correct: Your answer is correct. seenKey

31,320

(b) Does her revenue from the rental of the apartments increase or decrease as she increases the rent from $500 to $540?
     Incorrect: Your answer is incorrect.

(c) Write an equation that gives the revenue R from rental of the apartments if she makes x increases of $20 in the rent.
R(x) =
3−20x0000−480x−220x2
Incorrect: Your answer is incorrect. webMathematica generated answer key

(d) Find the rent she should charge to maximize her revenue.
$ Correct: Your answer is correct. seenKey

850

 per month
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5. 1/2 points  |  Previous Answers HarMathAp12 2.3.023. My Notes
Question Part
Points
Submissions Used
1 2
1/1 –/1
3/100 0/100
Total
1/2
 
A supply function and a demand function are given.
Supply:
p = 
1
5
q2 + 10
Demand:
p = 85 − 4q − 2q2
(a) Sketch the first-quadrant portions of those functions on the same set of axes. Label the market equilibrium point E.

Correct: Your answer is correct.

(b) Algebraically determine the market equilibrium point.
(q, p) = 

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6. 0/1 points  |  Previous Answers HarMathAp12 12.1.025. My Notes
Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
Evaluate the integral. Check your answer by differentiating. (Use C for the constant of integration.)
 
x4 − 7 + 
4
x5
 dx
 
15
Incorrect: Your answer is incorrect. webMathematica generated answer key
Remember to use capital C.

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7. 4/7 points  |  Previous Answers HarMathAp12 0.1.051. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7
0/1 0/1 1/1 0/1 1/1 1/1 1/1
1/100 1/100 1/100 1/100 3/100 2/100 2/100
Total
4/7
 
A survey of 100 aides at the United Nations revealed that 68 could speak English, 63 could speak French, and 43 could speak both English and French.
(a) Draw a Venn diagram representing the 100 aides. Use E to represent English-speaking and F to represent French-speaking aides.
Incorrect: Your answer is incorrect. seenKey

25

 Incorrect: Your answer is incorrect. seenKey

20

 Correct: Your answer is correct. seenKey

43

 Incorrect: Your answer is incorrect. seenKey

12
A Venn diagram is shown. Refer to the adjacent description for more details.
A diagram is composed of two overlapping circles contained in the interior of a rectangle. The rectangle is labeled U, one circle is labeled E, and the other circle is labeled F. There are 4 answer blanks in the diagram.
  • The first answer blank is inside circle E outside of the overlapping area of the 2 circles.
  • The second answer blank is inside circle F outside of the overlapping area of the 2 circles.
  • The third answer blank is inside the overlapping area of the 2 circles.
  • The fourth answer blank is outside both circles and inside the rectangle.

(b) How many aides are in
E ∩ F ?

Correct: Your answer is correct. seenKey

43

 aides

(c) How many aides are in
E ∪ F ?

Correct: Your answer is correct. seenKey

88

 aides

(d) How many aides are in
E ∩ F ' ?

Correct: Your answer is correct. seenKey

25

 aides

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8. 1/1 points  |  Previous Answers HarMathAp12 3.2.007. My Notes
Question Part
Points
Submissions Used
1
1/1
7/100
Total
1/1
 
Use the following matrices to perform the indicated operation, when possible. (If not possible, enter IMPOSSIBLE into any cell of the matrix.)
D = 
46
35
      E = 
103
910
Find DE.

Correct: Your answer is correct. seenKey

[58, 6, 12; 48, 5, 9]

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9. 0/1 points  |  Previous Answers HarMathAp12 11.3.019. My Notes
Question Part
Points
Submissions Used
1
0/1
1/100
Total
0/1
 
If
x4 + 3x3y2 = x − y3,
 find dy/dx.
dy
dx
 =
4
Incorrect: Your answer is incorrect. webMathematica generated answer key

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10. 0/1 points  |  Previous Answers HarMathAp12 7.3.058. My Notes
Question Part
Points
Submissions Used
1
0/1
2/100
Total
0/1
 
Suppose that the odds that Blackjack will win a race are 1 to 4 and the odds that Snowball will win the same race are 1 to 5. If only one horse can win, what odds should be given that one of these two horses will win?
0.3√11z
Incorrect: Your answer is incorrect. webMathematica generated answer key
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