Finite Mathematics
7th Edition
ISBN: 9781337280426
Author: Stefan Waner, Steven Costenoble
Publisher: Cengage Learning
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Chapter 4.2, Problem 5E
In Exercises 1–28, compute the products. Some of these may be undefined. Exercises marked should be done by using technology. The others should be done in two ways: by hand and by using technology where possible. [HINT: See Example 3.]
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The accompanying data shows the fossil fuels production, fossil fuels consumption, and total energy consumption in quadrillions of BTUs of a certain region for the years 1986 to 2015. Complete parts a and b.
Develop line charts for each variable and identify the characteristics of the time series (that is, random, stationary, trend, seasonal, or cyclical).
What is the line chart for the variable Fossil Fuels Production?
The accompanying data shows the fossil fuels production, fossil fuels consumption, and total energy consumption in quadrillions of BTUs of a certain region for the years 1986 to 2015. Complete parts a and b.
Year Fossil Fuels Production Fossil Fuels Consumption Total Energy Consumption1949 28.748 29.002 31.9821950 32.563 31.632 34.6161951 35.792 34.008 36.9741952 34.977 33.800 36.7481953 35.349 34.826 37.6641954 33.764 33.877 36.6391955 37.364 37.410 40.2081956 39.771 38.888 41.7541957 40.133 38.926 41.7871958 37.216 38.717 41.6451959 39.045 40.550 43.4661960 39.869 42.137 45.0861961 40.307 42.758 45.7381962 41.732 44.681 47.8261963 44.037 46.509 49.6441964 45.789 48.543 51.8151965 47.235 50.577 54.0151966 50.035 53.514 57.0141967 52.597 55.127 58.9051968 54.306 58.502 62.4151969 56.286…
For each of the time series, construct a line chart of the data and identify the characteristics of the time series (that is, random, stationary, trend, seasonal, or cyclical).
Month PercentApr 1972 4.97May 1972 5.00Jun 1972 5.04Jul 1972 5.25Aug 1972 5.27Sep 1972 5.50Oct 1972 5.73Nov 1972 5.75Dec 1972 5.79Jan 1973 6.00Feb 1973 6.02Mar 1973 6.30Apr 1973 6.61May 1973 7.01Jun 1973 7.49Jul 1973 8.30Aug 1973 9.23Sep 1973 9.86Oct 1973 9.94Nov 1973 9.75Dec 1973 9.75Jan 1974 9.73Feb 1974 9.21Mar 1974 8.85Apr 1974 10.02May 1974 11.25Jun 1974 11.54Jul 1974 11.97Aug 1974 12.00Sep 1974 12.00Oct 1974 11.68Nov 1974 10.83Dec 1974 10.50Jan 1975 10.05Feb 1975 8.96Mar 1975 7.93Apr 1975 7.50May 1975 7.40Jun 1975 7.07Jul 1975 7.15Aug 1975 7.66Sep 1975 7.88Oct 1975 7.96Nov 1975 7.53Dec 1975 7.26Jan 1976 7.00Feb 1976 6.75Mar 1976 6.75Apr 1976 6.75May 1976…
Chapter 4 Solutions
Finite Mathematics
Ch. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - In Exercises 110, find the dimensions of the given...Ch. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - In Exercises 110, find the dimensions of the given...
Ch. 4.1 - Solve for x,y,z,andw. [HINT: See Example 1.]...Ch. 4.1 - Prob. 12ECh. 4.1 - In Exercises 1320, evaluate the given expression....Ch. 4.1 - Prob. 14ECh. 4.1 - In Exercises 1320, evaluate the given expression....Ch. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - Prob. 19ECh. 4.1 - In Exercises 1320, evaluate the given expression....Ch. 4.1 - In Exercises 2128, evaluate the given expression....Ch. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - In Exercises 2128, evaluate the given expression....Ch. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - In Exercises 2128, evaluate the given expression....Ch. 4.1 - Prob. 29ECh. 4.1 - In Exercises 2936, use technology to evaluate the...Ch. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - Prob. 34ECh. 4.1 - In Exercises 2936, use technology to evaluate the...Ch. 4.1 - Prob. 36ECh. 4.1 - Prob. 37ECh. 4.1 - Prob. 38ECh. 4.1 - Inventory The Left Coast Bookstore chain has two...Ch. 4.1 - Inventory The Left Coast Bookstore chain discussed...Ch. 4.1 - Profit Annual revenues and production costs at...Ch. 4.1 - Revenue The following spreadsheet gives annual...Ch. 4.1 - Population Movement In 2000 the U.S. population,...Ch. 4.1 - Population Movement In 1990 the U.S. population,...Ch. 4.1 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.1 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.1 - Prob. 47ECh. 4.1 - Prob. 48ECh. 4.1 - Inventory Microbucks Computer Company makes two...Ch. 4.1 - Inventory Microbucks Computer Company, besides...Ch. 4.1 - Prob. 51ECh. 4.1 - Tourism in the 1990s Referring to the 1998 tourism...Ch. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Prob. 56ECh. 4.1 - Prob. 57ECh. 4.1 - Prob. 58ECh. 4.1 - Prob. 59ECh. 4.1 - Prob. 60ECh. 4.1 - Prob. 61ECh. 4.1 - Prob. 62ECh. 4.1 - Prob. 63ECh. 4.1 - Prob. 64ECh. 4.1 - Prob. 65ECh. 4.1 - Prob. 66ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 2ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 4ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 11ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 13ECh. 4.2 - Prob. 14ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 19ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - In Exercises 128, compute the products. Some of...Ch. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Prob. 29ECh. 4.2 - Repeat Exercises 29 with A=[0201002000020000].Ch. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Prob. 36ECh. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Exercises 3138 should be done in two ways: by hand...Ch. 4.2 - Prob. 39ECh. 4.2 - In Exercises 3944, calculate (a) P2=PP, (b)...Ch. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - In Exercises 4548, translate the given matrix...Ch. 4.2 - Prob. 46ECh. 4.2 - Prob. 47ECh. 4.2 - Prob. 48ECh. 4.2 - Prob. 49ECh. 4.2 - In Exercises 4952, translate the given systems of...Ch. 4.2 - Prob. 51ECh. 4.2 - Prob. 52ECh. 4.2 - Prob. 53ECh. 4.2 - Revenue Karen Sandberg, your competitor in...Ch. 4.2 - Real Estate The following table shows the cost of...Ch. 4.2 - Prob. 56ECh. 4.2 - Prob. 57ECh. 4.2 - Prob. 58ECh. 4.2 - Income Exercises 5962 are based on the following...Ch. 4.2 - Income Exercises 5962 are based on the following...Ch. 4.2 - Income Exercises 5962 are based on the following...Ch. 4.2 - Prob. 62ECh. 4.2 - Prob. 63ECh. 4.2 - Prob. 64ECh. 4.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.2 - Prob. 67ECh. 4.2 - Prob. 68ECh. 4.2 - Prob. 69ECh. 4.2 - Foreclosure Crisis Starting in 2010, on the heels...Ch. 4.2 - Prob. 71ECh. 4.2 - Profits Refer back to Exercise 71. It actually...Ch. 4.2 - Tourism in the 1990s The following table gives the...Ch. 4.2 - Prob. 74ECh. 4.2 - Population Movement In 2008 the population of the...Ch. 4.2 - Prob. 76ECh. 4.2 - Give an example of two matrices A and B such that...Ch. 4.2 - Prob. 78ECh. 4.2 - Prob. 79ECh. 4.2 - Prob. 80ECh. 4.2 - Prob. 81ECh. 4.2 - Prob. 82ECh. 4.2 - Prob. 83ECh. 4.2 - Prob. 84ECh. 4.2 - Prob. 85ECh. 4.2 - Prob. 86ECh. 4.3 - In Exercises 16, determine whether or not the...Ch. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - In Exercises 16, determine whether or not the...Ch. 4.3 - In Exercises 16, determine whether or not the...Ch. 4.3 - Prob. 6ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 9ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 11ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 13ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - Prob. 19ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 21ECh. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - In Exercises 726, use row reduction to find the...Ch. 4.3 - Prob. 26ECh. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - Prob. 29ECh. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - Prob. 32ECh. 4.3 - Prob. 33ECh. 4.3 - In Exercises 2734, compute the determinant of the...Ch. 4.3 - In Exercises 3542, use technology to find the...Ch. 4.3 - Prob. 36ECh. 4.3 - Prob. 37ECh. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - In Exercises 3542, use technology to find the...Ch. 4.3 - In Exercises 3542, use technology to find the...Ch. 4.3 - Prob. 42ECh. 4.3 - In Exercises 4348, use matrix inversion to solve...Ch. 4.3 - Prob. 44ECh. 4.3 - In Exercises 4348, use matrix inversion to solve...Ch. 4.3 - Prob. 46ECh. 4.3 - Prob. 47ECh. 4.3 - In Exercises 4348, use matrix inversion to solve...Ch. 4.3 - Prob. 49ECh. 4.3 - In Exercises 49 and 50, use matrix inversion to...Ch. 4.3 - Prob. 51ECh. 4.3 - Some of the following exercises are similar or...Ch. 4.3 - Some of the following exercises are similar or...Ch. 4.3 - Some of the following exercises are similar or...Ch. 4.3 - Investing: Inverse ETFs (Exchange Traded Funds)...Ch. 4.3 - Investing: Inverse ETFs (Exchange Traded Funds)...Ch. 4.3 - Investing: Lesser-Known Stocks Exercises 5758 are...Ch. 4.3 - Prob. 58ECh. 4.3 - Population Movement In 2009 the population of the...Ch. 4.3 - Population Movement Assume that the percentages...Ch. 4.3 - Rotations If a point (x,y) in the plane is rotated...Ch. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Encryption Matrices are commonly used to encrypt...Ch. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - Derive the formula in Exercise 71 using row...Ch. 4.3 - Prob. 73ECh. 4.3 - Prob. 74ECh. 4.3 - Prob. 75ECh. 4.3 - Prob. 76ECh. 4.3 - Prob. 77ECh. 4.3 - Your friend has two square matrices A and B,...Ch. 4.4 - In Exercises 14, calculate the expected payoff of...Ch. 4.4 - In Exercises 14, calculate the expected payoff of...Ch. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - In Exercises 58, either a mixed column or mixed...Ch. 4.4 - In Exercises 58, either a mixed column or mixed...Ch. 4.4 - Prob. 7ECh. 4.4 - In Exercises 58, either a mixed column or mixed...Ch. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - Prob. 12ECh. 4.4 - In Exercises 914, reduce the given payoff matrix...Ch. 4.4 - Prob. 14ECh. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - Prob. 19ECh. 4.4 - In Exercises 1520, decide whether the game is...Ch. 4.4 - In Exercises 2124, find (a) the optimal mixed row...Ch. 4.4 - Prob. 22ECh. 4.4 - Prob. 23ECh. 4.4 - Prob. 24ECh. 4.4 - In Exercises 2532, set up the payoff matrix. Games...Ch. 4.4 - In Exercises 2532, set up the payoff matrix. Games...Ch. 4.4 - In Exercises 2532, set up the payoff matrix. War...Ch. 4.4 - In Exercises 2532, set up the payoff matrix. War...Ch. 4.4 - In Exercises 2532, set up the payoff matrix....Ch. 4.4 - In Exercises 2532, set up the payoff matrix....Ch. 4.4 - In Exercises 2532, set up the payoff matrix....Ch. 4.4 - Prob. 32ECh. 4.4 - Prob. 33ECh. 4.4 - More Retail Discount Wars Your Abercrom B mens...Ch. 4.4 - Factory Location22 A manufacturer of electrical...Ch. 4.4 - Crop Choice23 A farmer has a choice of growing...Ch. 4.4 - Study Techniques Your mathematics test is tomorrow...Ch. 4.4 - Prob. 38ECh. 4.4 - Prob. 39ECh. 4.4 - Textbook Writing You are writing a college-level...Ch. 4.4 - Prob. 41ECh. 4.4 - Prob. 42ECh. 4.4 - Wrestling Tournaments City Community College (CCC)...Ch. 4.4 - Wrestling Tournaments (Refer to Exercise 43.) One...Ch. 4.4 - The Battle of Rabaul-Lae25 In the Second World...Ch. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Prob. 48ECh. 4.4 - Campaign Strategies27 Florida and Ohio are swing...Ch. 4.4 - Campaign Strategies Repeat Exercise 49, this time...Ch. 4.4 - Prob. 51ECh. 4.4 - Prob. 52ECh. 4.4 - Prob. 53ECh. 4.4 - Prob. 54ECh. 4.4 - Prob. 55ECh. 4.4 - Prob. 56ECh. 4.4 - Prob. 57ECh. 4.4 - Prob. 58ECh. 4.5 - Let A be the technology matrix A=[0.20.050.80.01],...Ch. 4.5 - Prob. 2ECh. 4.5 - Each unit of television news requires 0.2 units of...Ch. 4.5 - Production of one unit of cologne requires no...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - Prob. 9ECh. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - Prob. 11ECh. 4.5 - In Exercises 512, you are given a technology...Ch. 4.5 - Prob. 13ECh. 4.5 - Prob. 14ECh. 4.5 - Let (IA)1=[0.50.100.21.20.10.10.71.6], and assume...Ch. 4.5 - Prob. 16ECh. 4.5 - In Exercises 17 and 18, obtain the technology...Ch. 4.5 - Prob. 18ECh. 4.5 - Campus Food The two campus cafeterias, the Main...Ch. 4.5 - Plagiarism Two student groups at Enormous State...Ch. 4.5 - Communication Equipment Two sectors of the U.S....Ch. 4.5 - Prob. 22ECh. 4.5 - Australia Economy Two sectors of the Australian...Ch. 4.5 - Prob. 24ECh. 4.5 - Mexico Economy Economists generally divide a...Ch. 4.5 - Prob. 26ECh. 4.5 - Prob. 27ECh. 4.5 - Prob. 28ECh. 4.5 - Mexico Economy Economists generally divide a...Ch. 4.5 - Mexico Economy Economists generally divide a...Ch. 4.5 - Exercises 3134 require the use of technology....Ch. 4.5 - Exercises 3134 require the use of technology....Ch. 4.5 - Prob. 33ECh. 4.5 - Prob. 34ECh. 4.5 - Prob. 35ECh. 4.5 - Can an external demand be met by an economy whose...Ch. 4.5 - Prob. 37ECh. 4.5 - Prob. 38ECh. 4.5 - Prob. 39ECh. 4.5 - Prob. 40ECh. 4.5 - Prob. 41ECh. 4.5 - Prob. 42ECh. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - For Exercises 110, let...Ch. 4 - For Exercises 110, let...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - Prob. 14RECh. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1116, find the inverse of the given...Ch. 4 - In Exercises 1720, write the given system of...Ch. 4 - In Exercises 1720, write the given system of...Ch. 4 - In Exercises 1720, write the given system of...Ch. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - In Exercises 2124, solve the game with the given...Ch. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - In Exercises 2528, find the production vector X...Ch. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - OHaganBooks.com has two main...Ch. 4 - OHaganBooks.com has two main...Ch. 4 - Prob. 41RECh. 4 - OHaganBooks.com has two main...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Publisher Marjory Duffin reveals that...Ch. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Some of the books sold by OHaganBooks.com are...Ch. 4 - Prob. 52RE
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