EBK MATHEMATICS: A PRACTICAL ODYSSEY
8th Edition
ISBN: 8220100546112
Author: MOWRY
Publisher: Cengage Learning US
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Chapter 10.CR, Problem 23CR
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The decibel rating of a scooter when sound intensity is
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9. An elementary single period market model contains a risk-free asset with interest rate
r = 5% and a risky asset S which has price 30 at time t = 0 and will have either price
10 or 60 at time t = 1. Find a replicating strategy for a contingent claim with payoff
h(S₁) = max(20 - S₁, 0) + max(S₁ — 50, 0).
Total [8 Marks]
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]
b) Solve the following linear program using the 2-phase simplex algorithm. You should give
the initial tableau, and each further tableau produced during the execution of the
algorithm. If the program has an optimal solution, give this solution and state its
objective value. If it does not have an optimal solution, say why.
maximize ₁ - 2x2+x34x4
subject to 2x1+x22x3x41,
5x1 + x2-x3-×4 ≤ −1,
2x1+x2-x3-34
2,
1, 2, 3, 40.
Chapter 10 Solutions
EBK MATHEMATICS: A PRACTICAL ODYSSEY
Ch. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 2ECh. 10.0A - Prob. 3ECh. 10.0A - Prob. 4ECh. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 6ECh. 10.0A - Prob. 7ECh. 10.0A - Prob. 8ECh. 10.0A - Prob. 9ECh. 10.0A - In Exercises 1-12, find the value of u, v or b....
Ch. 10.0A - In Exercises 1-12, find the value of u, v or b....Ch. 10.0A - Prob. 12ECh. 10.0A - Prob. 13ECh. 10.0A - Prob. 14ECh. 10.0A - Prob. 15ECh. 10.0A - Prob. 16ECh. 10.0A - Prob. 17ECh. 10.0A - Prob. 18ECh. 10.0A - Prob. 19ECh. 10.0A - Prob. 20ECh. 10.0A - Prob. 21ECh. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - Prob. 24ECh. 10.0A - Prob. 25ECh. 10.0A - In Exercises 19-26, rewrite the exponential...Ch. 10.0A - Prob. 27ECh. 10.0A - Prob. 28ECh. 10.0A - Prob. 29ECh. 10.0A - Prob. 30ECh. 10.0A - Prob. 31ECh. 10.0A - Prob. 32ECh. 10.0A - Prob. 33ECh. 10.0A - Prob. 34ECh. 10.0A - Prob. 35ECh. 10.0A - Prob. 36ECh. 10.0A - Prob. 37ECh. 10.0A - In Exercises 27-56, use a calculator to find each...Ch. 10.0A - Prob. 39ECh. 10.0A - Prob. 40ECh. 10.0A - Prob. 41ECh. 10.0A - In Exercises 27-56, use a calculator to find each...Ch. 10.0A - Prob. 43ECh. 10.0A - Prob. 44ECh. 10.0A - Prob. 45ECh. 10.0A - Prob. 46ECh. 10.0A - Prob. 47ECh. 10.0A - Prob. 48ECh. 10.0A - Prob. 49ECh. 10.0A - Prob. 50ECh. 10.0A - Prob. 51ECh. 10.0A - Prob. 52ECh. 10.0A - Prob. 53ECh. 10.0A - Prob. 54ECh. 10.0A - Prob. 55ECh. 10.0A - Prob. 56ECh. 10.0A - Prob. 57ECh. 10.0A - Prob. 58ECh. 10.0A - Prob. 59ECh. 10.0A - Prob. 60ECh. 10.0A - Prob. 61ECh. 10.0A - Prob. 62ECh. 10.0A - Prob. 63ECh. 10.0A - Prob. 64ECh. 10.0A - Prob. 65ECh. 10.0A - Prob. 66ECh. 10.0A - Prob. 67ECh. 10.0B - In Exercises 1-12, simplify by using the Inverse...Ch. 10.0B - Prob. 2ECh. 10.0B - Prob. 3ECh. 10.0B - Prob. 4ECh. 10.0B - In Exercises 1-12, simplify by using the Inverse...Ch. 10.0B - Prob. 6ECh. 10.0B - Prob. 7ECh. 10.0B - Prob. 8ECh. 10.0B - Prob. 9ECh. 10.0B - Prob. 10ECh. 10.0B - Prob. 11ECh. 10.0B - Prob. 12ECh. 10.0B - Prob. 13ECh. 10.0B - Prob. 14ECh. 10.0B - In Exercises 13-22, rewrite the given logarithm so...Ch. 10.0B - Prob. 16ECh. 10.0B - Prob. 17ECh. 10.0B - Prob. 18ECh. 10.0B - Prob. 19ECh. 10.0B - Prob. 20ECh. 10.0B - In Exercises 13-12, rewrite the given logarithm so...Ch. 10.0B - Prob. 22ECh. 10.0B - Prob. 23ECh. 10.0B - Prob. 24ECh. 10.0B - Prob. 25ECh. 10.0B - Prob. 26ECh. 10.0B - Prob. 27ECh. 10.0B - Prob. 28ECh. 10.0B - Prob. 29ECh. 10.0B - Prob. 30ECh. 10.0B - Prob. 31ECh. 10.0B - Prob. 32ECh. 10.0B - Prob. 33ECh. 10.0B - Prob. 34ECh. 10.0B - Prob. 35ECh. 10.0B - Prob. 36ECh. 10.0B - Prob. 37ECh. 10.0B - Prob. 38ECh. 10.0B - Prob. 39ECh. 10.0B - Prob. 40ECh. 10.0B - Prob. 41ECh. 10.0B - Prob. 42ECh. 10.0B - Prob. 43ECh. 10.0B - Prob. 44ECh. 10.0B - Prob. 45ECh. 10.0B - Prob. 46ECh. 10.0B - Prob. 47ECh. 10.0B - Prob. 48ECh. 10.0B - Prob. 49ECh. 10.0B - Prob. 50ECh. 10.0B - Prob. 51ECh. 10.0B - Prob. 52ECh. 10.0B - Prob. 53ECh. 10.0B - Prob. 54ECh. 10.0B - Prob. 55ECh. 10.0B - Prob. 56ECh. 10.0B - Prob. 57ECh. 10.0B - Prob. 58ECh. 10.0B - Prob. 59ECh. 10.0B - Prob. 60ECh. 10.0B - Prob. 61ECh. 10.0B - Prob. 62ECh. 10.0B - Prob. 63ECh. 10.0B - Prob. 64ECh. 10.0B - Prob. 65ECh. 10.0B - Prob. 66ECh. 10.0B - Exercises 59-70 refer to Example 10. You want to...Ch. 10.0B - Prob. 68ECh. 10.0B - Prob. 69ECh. 10.0B - Prob. 70ECh. 10.0B - Prob. 71ECh. 10.0B - Prob. 72ECh. 10.0B - Prob. 73ECh. 10.0B - Prob. 74ECh. 10.0B - Prob. 75ECh. 10.0B - Prob. 76ECh. 10.0B - Prob. 77ECh. 10.0B - Prob. 78ECh. 10.0B - Prob. 79ECh. 10.0B - Prob. 80ECh. 10.0B - Prob. 81ECh. 10.0B - Prob. 82ECh. 10.0B - Prob. 83ECh. 10.0B - Prob. 84ECh. 10.0B - Prob. 85ECh. 10.0B - Prob. 86ECh. 10.1 - Use the model p=30e0.0198026273t developed in...Ch. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - Exercise 5-12 deal with data from the U.S. Bureau...Ch. 10.1 - A biologist is conducting an experiment that...Ch. 10.1 - A university keeps a number of mice for psychology...Ch. 10.1 - Prob. 15ECh. 10.1 - In July 2012, Alvarado Niles bought a house for...Ch. 10.1 - An October 2009 article in The Industry Standard...Ch. 10.1 - According to a September9,2007, article in ZDNet,...Ch. 10.1 - The number of cell phone subscribers has been...Ch. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - In 1969, the National Academy of Sciences...Ch. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Use the data in Exercise 22 to complete the...Ch. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.1 - Prob. 29ECh. 10.1 - Prob. 30ECh. 10.1 - Prob. 31ECh. 10.1 - Prob. 32ECh. 10.1 - Prob. 33ECh. 10.1 - Prob. 34ECh. 10.1 - Prob. 35ECh. 10.1 - Prob. 36ECh. 10.1 - Prob. 37ECh. 10.1 - Prob. 38ECh. 10.1 - Prob. 39ECh. 10.1 - Prob. 40ECh. 10.1 - Prob. 41ECh. 10.2 - Using the model Q=20e0.086643397t developed in...Ch. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Using the model Q=8.2e0.053319013t developed in...Ch. 10.2 - Silicon-31 is used to diagnose certain medical...Ch. 10.2 - Plutonium-238 is used as a compact source of...Ch. 10.2 - How long will it take 64grams of magnesium 28 to...Ch. 10.2 - Prob. 8ECh. 10.2 - How long will it take 500grams of plutonium-241 to...Ch. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - How long will it take a given quantity of...Ch. 10.2 - How long will it take a given quantity of...Ch. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - In March 2011, the Fukushima Daiichi nuclear power...Ch. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - A lab technician had 58 grams of a radioactive...Ch. 10.2 - A lab technician had 32 grams of a radioactive...Ch. 10.2 - In 1989, a Mayan codex a remnant of ancient...Ch. 10.2 - Two Ohlone Indian skeletons, along with burial...Ch. 10.2 - In 1940, beautiful prehistoric cave paintings of...Ch. 10.2 - Prob. 26ECh. 10.2 - An ancient parchment contained 70 of the expected...Ch. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - How much carbon-14 would you expect to find in a...Ch. 10.2 - Prob. 33ECh. 10.2 - A museum claims that one of its skeleton is 9,000...Ch. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - In Example 8, we determined that 0.891(or89.1) of...Ch. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - What does the phrase half-life mean?Ch. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.2 - Prob. 50ECh. 10.2 - Prob. 51ECh. 10.2 - Prob. 52ECh. 10.2 - Prob. 53ECh. 10.2 - Prob. 54ECh. 10.2 - Prob. 55ECh. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 1-4, find the magnitude of the given...Ch. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - In Exercises 5-12, use the information in Figure...Ch. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Shortly after the 1989 San Francisco quake, it was...Ch. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - In Exercises 16-20, find the decibel rating of the...Ch. 10.3 - Prob. 18ECh. 10.3 - In Exercises 16-20, find the decibel rating of the...Ch. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - In Exercises 21-24, find the dB gain for the given...Ch. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - If a single singer is singing at 74dB, how many...Ch. 10.3 - If a single singer is singing at 74dB, how many...Ch. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - If a single trumpet is playing at 78dB, how many...Ch. 10.3 - Prob. 31ECh. 10.3 - Find a rule of thumb for the dB gain if the number...Ch. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.3 - Prob. 38ECh. 10.3 - Prob. 39ECh. 10.3 - Prob. 40ECh. 10.CR - In Exercise 1-3, find the value of x. x=log381Ch. 10.CR - Prob. 2CRCh. 10.CR - Prob. 3CRCh. 10.CR - Prob. 4CRCh. 10.CR - Prob. 5CRCh. 10.CR - Prob. 6CRCh. 10.CR - Prob. 7CRCh. 10.CR - Prob. 8CRCh. 10.CR - Prob. 9CRCh. 10.CR - Prob. 10CRCh. 10.CR - Prob. 11CRCh. 10.CR - Prob. 12CRCh. 10.CR - Prob. 13CRCh. 10.CR - Prob. 14CRCh. 10.CR - Prob. 15CRCh. 10.CR - Prob. 16CRCh. 10.CR - Prob. 17CRCh. 10.CR - Prob. 18CRCh. 10.CR - Prob. 19CRCh. 10.CR - Prob. 20CRCh. 10.CR - Prob. 21CRCh. 10.CR - Prob. 22CRCh. 10.CR - Prob. 23CRCh. 10.CR - Prob. 24CRCh. 10.CR - Prob. 25CRCh. 10.CR - Prob. 26CRCh. 10.CR - Prob. 27CRCh. 10.CR - Prob. 28CRCh. 10.CR - Prob. 29CRCh. 10.CR - Prob. 30CRCh. 10.CR - Prob. 31CRCh. 10.CR - Prob. 32CRCh. 10.CR - Prob. 33CRCh. 10.CR - Prob. 34CRCh. 10.CR - Prob. 35CR
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