Elementary Technical Mathematics
12th Edition
ISBN: 9781337630580
Author: Dale Ewen
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 9.3, Problem 21E
Solve, using the substitution method, and check;
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Does there appear to be a positive or negative relationship between price and screen size? Use a scatter plot to examine the relationship. How to take snapshots: if you use a MacBook, press Command+ Shift+4 to take snapshots. If you are using Windows, use the Snipping Tool to take snapshots.
Question 1: Determine and interpret the correlation coefficient between the two variables. In your interpretation, discuss the direction of the relationship (positive, negative, or zero relationship). Also discuss the strength of the relationship.
Value of correlation coefficient:
Direction of the relationship (positive, negative, or zero relationship):
Strength of the relationship (strong/moderate/weak):
Question 2: Estimate the relationship between screen size and price using a simple linear regression model and interpret the estimated coefficients. In your interpretation, tell the dollar amount by which price will change for each unit of increase in screen size. (The answer for the…
Tri-County Utilities, Inc., supplies natural gas to customers in a three-county area. The company purchases natural gas from two companies: Southern Gas and Northwest Gas.
Demand forecasts for the coming winter season are as follows: Hamilton County, 400 units; Butler County, 200 units; and Clermont County, 300 units. Contracts to provide the following quantities have been written: Southern Gas, 500 units; and Northwest Gas, 400 units. Distribution costs for the counties vary, depending upon the location of the suppliers. The distribution costs per unit (in thousands of dollars)
are as follows.
From
To
Hamilton Butler
Clermont
Southern Gas
10
20
15
Northwest Gas
12
15
18
(a) Develop a network representation of this problem. (Submit a file with a maximum size of 1 MB.)
Choose File No file chosen
Assignment 3 graph.docx
Score: 1 out of 1
Comment:
(b) Develop a linear programming model that can be used to determine the plan that will minimize total distribution costs (in thousands of…
Use the method of undetermined coefficients to solve the given nonhomogeneous system.
dx
dt
=
2x + 3y − 8
dy
dt
=
−x − 2y + 6
X(t) =
Chapter 9 Solutions
Elementary Technical Mathematics
Ch. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 2ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Draw the graphs of each pair of linear equations....
Ch. 9.1 - Prob. 11ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 13ECh. 9.1 - Prob. 14ECh. 9.1 - Prob. 15ECh. 9.1 - Prob. 16ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 18ECh. 9.1 - Prob. 19ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 21ECh. 9.1 - Draw the graphs of each pair of linear equations....Ch. 9.1 - Prob. 23ECh. 9.1 - Prob. 24ECh. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - Prob. 27ECh. 9.1 - Prob. 28ECh. 9.1 - Solve Exercises 27-30 graphically: In a concrete...Ch. 9.1 - Prob. 30ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 3ECh. 9.2 - Prob. 4ECh. 9.2 - Prob. 5ECh. 9.2 - Prob. 6ECh. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - Prob. 12ECh. 9.2 - Prob. 13ECh. 9.2 - Prob. 14ECh. 9.2 - Prob. 15ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 17ECh. 9.2 - Prob. 18ECh. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - Prob. 28ECh. 9.2 - Prob. 29ECh. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - Prob. 41ECh. 9.2 - Prob. 42ECh. 9.2 - Prob. 43ECh. 9.2 - Solve each pair of linear equations by addition....Ch. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 3ECh. 9.3 - Prob. 4ECh. 9.3 - Prob. 5ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 7ECh. 9.3 - Prob. 8ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 10ECh. 9.3 - Prob. 11ECh. 9.3 - Prob. 12ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 14ECh. 9.3 - Prob. 15ECh. 9.3 - Prob. 16ECh. 9.3 - Prob. 17ECh. 9.3 - Prob. 18ECh. 9.3 - Prob. 19ECh. 9.3 - Prob. 20ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Solve, using the substitution method, and check;...Ch. 9.3 - Prob. 26ECh. 9.4 - A board 96 cm long is cut into two pieces so that...Ch. 9.4 - Find the capacity of two trucks if 6 trips of the...Ch. 9.4 - A plumbing contractor decides to field-test two...Ch. 9.4 - A bricklayer lays an average of 150 bricks per...Ch. 9.4 - Two welders worked a total of 48 h on a project....Ch. 9.4 - A contractor finds a bill for $1110 for 720...Ch. 9.4 - A farmer has two types of feed. One has 5%...Ch. 9.4 - A dairy farmer wants to make 125 lb of 12%...Ch. 9.4 - A farmer sells corn for $6.00/bu and soybeans for...Ch. 9.4 - A farmer has a 1.4% solution and a 2.9% solution...Ch. 9.4 - A farmer has a 6% solution and a 12% solution of...Ch. 9.4 - The sum of two capacitors is 85 microfarads (F)....Ch. 9.4 - Nine batteries are hooked in series to provide a...Ch. 9.4 - In a parallel circuit, the total current passing...Ch. 9.4 - How much of an 8% solution and a 12% solution...Ch. 9.4 - The total current in a parallel circuit with seven...Ch. 9.4 - A small single-cylinder engine was operated on a...Ch. 9.4 - In testing a hybrid engine, various solutions of...Ch. 9.4 - An engine on a test stand was operated at two...Ch. 9.4 - A technician stores a parts cleaner as a 65%...Ch. 9.4 - Amy has a 3% solution and an 8% solution of a...Ch. 9.4 - A lawn seed mix containing 8% bluegrass is mixed...Ch. 9.4 - When three identical compressors and five air...Ch. 9.4 - A hospital has 35% saline solution on hand. How...Ch. 9.4 - A nurse gives 1000 mL of an intravenous (IV)...Ch. 9.4 - A hospital has a 4% saline solution and an 8%...Ch. 9.4 - A medication is available in 2-mL vials and in...Ch. 9.4 - A salesman turns in a ticket on two carpets for...Ch. 9.4 - An apartment owner rents one-bedroom apartments...Ch. 9.4 - A sporting goods store carries two types of...Ch. 9.4 - The sum of two resistors is 550 . One is 4.5 times...Ch. 9.4 - The ratio of gravel to cement in a concrete mix is...Ch. 9.4 - A wire 120 cm long is to be cut into two pieces so...Ch. 9.4 - The sum of two resistances is 1500 . The larger is...Ch. 9.4 - A rectangle is twice as long as it is wide. Its...Ch. 9.4 - A duct from a furnace forks into two ducts. The...Ch. 9.4 - The sum of three currents is 210 mA. Two currents...Ch. 9.4 - An experienced welder makes 53 as many welds as a...Ch. 9.4 - On a survey plat, the perimeter of a rectangular-...Ch. 9.4 - A supply duct is to run the perimeter of a...Ch. 9.4 - In a drawing, the perimeter of a room is 40 ft. If...Ch. 9.4 - A rectangular walkway in front of an office...Ch. 9.4 - If the length of a building is 212 times the width...Ch. 9.4 - The center-to-center distance between a fan and a...Ch. 9.4 - A carpenter starts with a board that is 12 ft long...Ch. 9.4 - Taughannock Falls near Ithaca, New York, is about...Ch. 9.4 - Ground corn and soybean meal are blended to...Ch. 9.4 - Two rental airplanes were flown a total of 54 h in...Ch. 9.4 - Jim bought both a municipal bond paying 3.5% and a...Ch. 9.4 - Chef Ruth has 90% lean ground beef and also 75%...Ch. 9.4 - A coffee shop has tables that seat 6 guests and...Ch. 9.4 - The Open Late Restaurant sells chili in cups and...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Draw the graphs of each pair of linear equations...Ch. 9 - Solve each system of equations: x+y=72xy=2Ch. 9 - Solve each system of equations: 3x+2y=11x+2y=5Ch. 9 - Solve each system of equations: 3x5y=32x3y=1Ch. 9 - Solve each system of equations: 2x3y=14x6y=5Ch. 9 - Solve each system of equations: 3x+5y=86x4y=44Ch. 9 - Solve each system of equations: 5x+7y=224x+8y=20Ch. 9 - Solve each system of equations: x+2y=33x+6y=9Ch. 9 - Solve each system of equations: 3x+5y=52y=2xCh. 9 - Solve each system of equations: 5y4x=6x=12yCh. 9 - Solve each system of equations: 3x7y=69y=4x+5Ch. 9 - You can buy twenty 20-amp electrical switches and...Ch. 9 - The sum of the length and width of a rectangular...Ch. 9 - The sum of two inductors is 90 millihenrys (mH)....Ch. 9 - The sum of two lengths is 90 ft, and their...Ch. 9 - Solve each system of equations by the method...Ch. 9 - Prob. 2TCh. 9 - Prob. 3TCh. 9 - Prob. 4TCh. 9 - Prob. 5TCh. 9 - Prob. 6TCh. 9 - Prob. 7TCh. 9 - Prob. 8TCh. 9 - Prob. 9TCh. 9 - The perimeter of a rectangular lot is 600 m. The...Ch. 9 - The sum of two resistances is 550 . The difference...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- As discussed in Section 8.3, the Markowitz model uses the variance of the portfolio as the measure of risk. However, variance includes deviations both below and above the mean return. Semivariance includes only deviations below the mean and is considered by many to be a better measure of risk. (a) Develop a model that minimizes semivariance for the Hauck Financial data given in the file HauckData with a required return of 10%. Assume that the five planning scenarios in the Hauck Financial Services model are equally likely to occur. Hint: Modify model (8.10)–(8.19). Define a variable ds for each scenario and let ds ≥ R − Rs with ds ≥ 0. Then make the objective function: Min 1 5 5 s = 1 ds2. Let FS = proportion of portfolio invested in the foreign stock mutual fund IB = proportion of portfolio invested in the intermediate-term bond fund LG = proportion of portfolio invested in the large-cap growth fund LV = proportion of portfolio invested in the large-cap value fund…arrow_forwardCalculus lll May I please have the blank lines completed, and final statement defined as a result? Thank you for the support!arrow_forwardFor each month of the year, Taylor collected the average high temperatures in Jackson, Mississippi. He used the data to create the histogram shown. Which set of data did he use to create the histogram? A 55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92\ 55,\ 60,\ 64,\ 72,\ 73,\ 75,\ 77,\ 81,\ 83,\ 91,\ 91,\ 92 55, 60, 64, 72, 73, 75, 77, 81, 83, 91, 91, 92 B 55, 57, 60, 65, 70, 71, 78, 79, 85, 86, 88, 91\ 55,\ 57,\ 60,\ 65,\ 70,\ 71,\ 78,\ 79,\ 85,\ 86,\ 88,\ 91 55, 57, 60, 65, 70, 71, 78, 79, 85, 86, 88, 91 C 55, 60, 63, 64, 65, 71, 83, 87, 88, 88, 89, 93\ 55,\ 60,\ 63,\ 64,\ 65,\ 71,\ 83,\ 87,\ 88,\ 88,\ 89,\ 93 55, 60, 63, 64, 65, 71, 83, 87, 88, 88, 89, 93 D 55, 58, 60, 66, 68, 75, 77, 82, 86, 89, 91, 91\ 55,\ 58,\ 60,\ 66,\ 68,\ 75,\ 77,\ 82,\ 86,\ 89,\ 91,\ 91 55, 58, 60, 66, 68, 75, 77, 82, 86, 89, 91, 91arrow_forward
- In this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)arrow_forwardProblem 4. Margrabe formula and the Greeks (20 pts) In the homework, we determined the Margrabe formula for the price of an option allowing you to swap an x-stock for a y-stock at time T. For stocks with initial values xo, yo, common volatility σ and correlation p, the formula was given by Fo=yo (d+)-x0Þ(d_), where In (±² Ꭲ d+ õ√T and σ = σ√√√2(1 - p). дго (a) We want to determine a "Greek" for ỡ on the option: find a formula for θα (b) Is дго θα positive or negative? (c) We consider a situation in which the correlation p between the two stocks increases: what can you say about the price Fo? (d) Assume that yo< xo and p = 1. What is the price of the option?arrow_forwardThe Course Name Real Analysis please Solve questions by Real Analysisarrow_forward
- We consider a 4-dimensional stock price model given (under P) by dẴ₁ = µ· Xt dt + йt · ΣdŴt where (W) is an n-dimensional Brownian motion, π = (0.02, 0.01, -0.02, 0.05), 0.2 0 0 0 0.3 0.4 0 0 Σ= -0.1 -4a За 0 0.2 0.4 -0.1 0.2) and a E R. We assume that ☑0 = (1, 1, 1, 1) and that the interest rate on the market is r = 0.02. (a) Give a condition on a that would make stock #3 be the one with largest volatility. (b) Find the diversification coefficient for this portfolio as a function of a. (c) Determine the maximum diversification coefficient d that you could reach by varying the value of a? 2arrow_forwardQuestion 1. Your manager asks you to explain why the Black-Scholes model may be inappro- priate for pricing options in practice. Give one reason that would substantiate this claim? Question 2. We consider stock #1 and stock #2 in the model of Problem 2. Your manager asks you to pick only one of them to invest in based on the model provided. Which one do you choose and why ? Question 3. Let (St) to be an asset modeled by the Black-Scholes SDE. Let Ft be the price at time t of a European put with maturity T and strike price K. Then, the discounted option price process (ert Ft) t20 is a martingale. True or False? (Explain your answer.) Question 4. You are considering pricing an American put option using a Black-Scholes model for the underlying stock. An explicit formula for the price doesn't exist. In just a few words (no more than 2 sentences), explain how you would proceed to price it. Question 5. We model a short rate with a Ho-Lee model drt = ln(1+t) dt +2dWt. Then the interest rate…arrow_forwardIn this problem, we consider a Brownian motion (W+) t≥0. We consider a stock model (St)t>0 given (under the measure P) by d.St 0.03 St dt + 0.2 St dwt, with So 2. We assume that the interest rate is r = 0.06. The purpose of this problem is to price an option on this stock (which we name cubic put). This option is European-type, with maturity 3 months (i.e. T = 0.25 years), and payoff given by F = (8-5)+ (a) Write the Stochastic Differential Equation satisfied by (St) under the risk-neutral measure Q. (You don't need to prove it, simply give the answer.) (b) Give the price of a regular European put on (St) with maturity 3 months and strike K = 2. (c) Let X = S. Find the Stochastic Differential Equation satisfied by the process (Xt) under the measure Q. (d) Find an explicit expression for X₁ = S3 under measure Q. (e) Using the results above, find the price of the cubic put option mentioned above. (f) Is the price in (e) the same as in question (b)? (Explain why.)arrow_forward
- 3. Consider the polynomial equation 6-iz+7z² - iz³ +z = 0 for which the roots are 3i, -2i, -i, and i. (a) Verify the relations between this roots and the coefficients of the polynomial. (b) Find the annulus region in which the roots lie.arrow_forwardThe managing director of a consulting group has the accompanying monthly data on total overhead costs and professional labor hours to bill to clients. Complete parts a through c. Question content area bottom Part 1 a. Develop a simple linear regression model between billable hours and overhead costs. Overhead Costsequals=212495.2212495.2plus+left parenthesis 42.4857 right parenthesis42.485742.4857times×Billable Hours (Round the constant to one decimal place as needed. Round the coefficient to four decimal places as needed. Do not include the $ symbol in your answers.) Part 2 b. Interpret the coefficients of your regression model. Specifically, what does the fixed component of the model mean to the consulting firm? Interpret the fixed term, b 0b0, if appropriate. Choose the correct answer below. A. The value of b 0b0 is the predicted billable hours for an overhead cost of 0 dollars. B. It is not appropriate to interpret b 0b0, because its value…arrow_forward3. Consider the polynomial equation 6-iz+7z2-iz³ +z = 0 for which the roots are 3i, -2i, -i, and i. (a) Verify the relations between this roots and the coefficients of the polynomial. (b) Find the annulus region in which the roots lie.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal Littell
Elementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Elementary Algebra
Algebra
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:OpenStax - Rice University
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
UG/ linear equation in linear algebra; Author: The Gate Academy;https://www.youtube.com/watch?v=aN5ezoOXX5A;License: Standard YouTube License, CC-BY
System of Linear Equations-I; Author: IIT Roorkee July 2018;https://www.youtube.com/watch?v=HOXWRNuH3BE;License: Standard YouTube License, CC-BY