Practical Business Math Procedures
12th Edition
ISBN: 9781259540554
Author: Jeffrey Slater, Sharon Wittry
Publisher: McGraw-Hill Education
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Chapter 7.1, Problem 9AH
To determine
The list price of a set of pots and pans.
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10. In the general single period market model with = {W1, W2, W3}, one risky asset, S, and
a money market account, we have So = 4 for the risky asset. Moreover, the effective
rate of interest on the money market account is 5% and at time t = 1 we have
W1
W2 W3
S₁
100 50 40
21
21
21
(a) Calculate all risk-neutral probability measures for this model. [4 Marks]
(b) State if the model is arbitrage-free. Give a brief reason for your answer. [2 Marks]
(c) A large bank has designed an investment product with payoff X at time t = 1.
Given
W₁
W2
W3
X
0
1
1.5
show that X is an attainable contingent claim. [4 marks]
Question 1. (10 points)
A researcher is studying tumours in mice. The growth rate for the volume of the tumour V(t) in cm³ is given by
dV
=
1.45V(2 In(V+1)).
dt
(a) (4 pts) Find all the equilibria and determine their stability using the stability condition.
(b) (2 pts) Draw the phase plot f(V) versus V where f(V) = V'. You may find it helpful to use Desmos or Wolfram Alpha to plot the graph of
f(V) versus V (both are free to use online), or you can plot it by hand if you like. On the plot identify each equilibrium as stable or unstable.
(c) (4 pts) Draw direction arrows for the case where the tumour starts at size 3cm³ and for the case where the tumour starts at size 9cm³. Explain
in biological terms what happens to the size of each of these tumours at time progresses.
For the system consisting of the two planes:plane 1: -x + y + z = 0plane 2: 3x + y + 3z = 0a) Are the planes parallel and/or coincident? Justify your answer. What does this tell you about the solution to the system?b) Solve the system (if possible). Show a complete solution. If there is a line of intersection express it in parametric form.
Chapter 7 Solutions
Practical Business Math Procedures
Ch. 7.1 - The list price of a dining room set with a 40%...Ch. 7.1 - The net price of a video system with a 30% trade...Ch. 7.1 - Lamps Outlet bought a shipment of lamps from a...Ch. 7.1 - Prob. 1EPQCh. 7.1 - Prob. 2EPQCh. 7.1 - Prob. 3EPQCh. 7.1 - Prob. 1AHCh. 7.1 - Calculate the net price for each of the following...Ch. 7.1 - Prob. 3AHCh. 7.1 - For each of the following, find the percent paid...
Ch. 7.1 - Prob. 5AHCh. 7.1 - Prob. 6AHCh. 7.1 - Prob. 7AHCh. 7.1 - Prob. 8AHCh. 7.1 - Prob. 9AHCh. 7.1 - Prob. 10AHCh. 7.1 - Prob. 11AHCh. 7.1 - Prob. 12AHCh. 7.1 - Prob. 13AHCh. 7.1 - Susan Monk teaches second grade and receives a...Ch. 7.2 - Complete the following table:
Ch. 7.2 - Complete the following table:
Ch. 7.2 - Prob. 3PQCh. 7.2 - Prob. 4PQCh. 7.2 - Prob. 5PQCh. 7.2 - Prob. 6PQCh. 7.2 - Prob. 7PQCh. 7.2 - Prob. 1EPQCh. 7.2 - Prob. 2EPQCh. 7.2 - Prob. 3EPQCh. 7.2 - Prob. 4EPQCh. 7.2 - Prob. 5EPQCh. 7.2 - Prob. 6EPQCh. 7.2 - Prob. 7EPQCh. 7.2 - Prob. 1AHCh. 7.2 - Prob. 2AHCh. 7.2 - Prob. 3AHCh. 7.2 - Prob. 4AHCh. 7.2 - Prob. 5AHCh. 7.2 - Prob. 6AHCh. 7.2 - Prob. 7AHCh. 7.2 - Prob. 8AHCh. 7.2 - Prob. 9AHCh. 7.2 - Dallas Ductworks offers cash discounts of 2/10,...Ch. 7.2 - Prob. 11AHCh. 7.2 - Prob. 12AHCh. 7.2 - Prob. 13AHCh. 7.2 - Todd’s Sporting Goods received an invoice for...Ch. 7 - Prob. 1ECPCh. 7 - For all problems, round your final answer to the...Ch. 7 - For all problems, round your final answer to the...Ch. 7 - Complete the following: LU 7-1(4)
Ch. 7 - Complete the following: LU 7-1(4)
Ch. 7 - Complete the following: LU 7-1(4)
Ch. 7 - Complete the following: LU 7-1(4)
Ch. 7 - Which of the following companies, A or B, gives a...Ch. 7 - Complete the following: LU 7-2(1)
Ch. 7 - Complete the following: LU 7-2(1)
Ch. 7 - Complete the following: LU 7-2(1)
Ch. 7 - Complete the following: LU 7-2(1)
Ch. 7 - Complete the following: LU 7-2(1)
Ch. 7 - Complete the following: LU 7-2(1)
Ch. 7 - Complete the following by calculating the cash...Ch. 7 - Prob. 16ECPCh. 7 - Complete the following by calculating the cash...Ch. 7 - Prob. 18ECPCh. 7 - Prob. 19ECPCh. 7 - Complete the following: LU 7-2(2)
Ch. 7 - The list price of a smartphone is $299. A local...Ch. 7 - A model NASCAR race car lists for $79.99 with a...Ch. 7 - Lucky you! You went to couponcabin.com and found a...Ch. 7 - Levin Furniture buys a living room set with a...Ch. 7 - Prob. 25ECPCh. 7 - Prob. 26ECPCh. 7 - Maplewood Supply received a $5,250 invoice dated...Ch. 7 - A local Sports Authority ordered 50 pairs of...Ch. 7 - Prob. 29ECPCh. 7 - Royal Furniture bought a sofa for $800. The sofa...Ch. 7 - Prob. 31ECPCh. 7 - Prob. 32ECPCh. 7 - Prob. 33ECPCh. 7 - Prob. 34ECPCh. 7 - Prob. 35ECPCh. 7 - Prob. 36ECPCh. 7 - Prob. 37ECPCh. 7 - Prob. 38ECPCh. 7 - Prob. 39ECPCh. 7 - Prob. 40ECPCh. 7 - Prob. 41ECPCh. 7 - Prob. 42ECPCh. 7 - Prob. 43ECPCh. 7 - Prob. 44ECPCh. 7 - Prob. 45ECPCh. 7 - Prob. 46ECPCh. 7 - Prob. 47ECPCh. 7 - The original price of a 2015 Honda Insight to the...Ch. 7 - On March 30, Century Television received an...Ch. 7 - Complete the following: LU 7-1(1)
Ch. 7 - Prob. 2PTCh. 7 - Prob. 3PTCh. 7 - Prob. 4PTCh. 7 - Prob. 5PTCh. 7 - Prob. 6PTCh. 7 - Prob. 7PTCh. 7 - Prob. 8PTCh. 7 - Prob. 9PT
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- added 2 imagesarrow_forwardQuestion 2: (10 points) Evaluate the definite integral. Use the following form of the definition of the integral to evaluate the integral: Theorem: Iff is integrable on [a, b], then where Ax = (ba)/n and x₂ = a + i^x. You might need the following formulas. IM³ L² (3x² (3x²+2x- 2x - 1)dx. n [f(z)dz lim f(x)Az a n→∞ i=1 n(n + 1) 2 n i=1 n(n+1)(2n+1) 6arrow_forwardFor the system consisting of the three planes:plane 1: -4x + 4y - 2z = -8plane 2: 2x + 2y + 4z = 20plane 3: -2x - 3y + z = -1a) Are any of the planes parallel and/or coincident? Justify your answer.b) Determine if the normals are coplanar. What does this tell you about the system?c) Solve the system if possible. Show a complete solution (do not use matrix operations). Classify the system using the terms: consistent, inconsistent, dependent and/or independent.arrow_forward
- For the system consisting of the three planes:plane 1: -4x + 4y - 2z = -8plane 2: 2x + 2y + 4z = 20plane 3: -2x - 3y + z = -1a) Are any of the planes parallel and/or coincident? Justify your answer.b) Determine if the normals are coplanar. What does this tell you about the system?c) Solve the system if possible. Show a complete solution (do not use matrix operations). Classify the system using the terms: consistent, inconsistent, dependent and/or independent.arrow_forwardOpen your tool box and find geometric methods, symmetries of even and odd functions and the evaluation theorem. Use these to calculate the following definite integrals. Note that you should not use Riemann sums for this problem. (a) (4 pts) (b) (2 pts) 3 S³ 0 3-x+9-dz x3 + sin(x) x4 + cos(x) dx (c) (4 pts) L 1-|x|dxarrow_forwardA movie studio wishes to determine the relationship between the revenue generated from the streaming of comedies and the revenue generated from the theatrical release of such movies. The studio has the following bivariate data from a sample of fifteen comedies released over the past five years. These data give the revenue x from theatrical release (in millions of dollars) and the revenue y from streaming (in millions of dollars) for each of the fifteen movies. The data are displayed in the Figure 1 scatter plot. Theater revenue, x Streaming revenue, y (in millions of (in millions of dollars) dollars) 13.2 10.3 62.6 10.4 20.8 5.1 36.7 13.3 44.6 7.2 65.9 10.3 49.4 15.7 31.5 4.5 14.6 2.5 26.0 8.8 28.1 11.5 26.1 7.7 28.2 2.8 60.7 16.4 6.7 1.9 Streaming revenue (in millions of dollars) 18+ 16+ 14 12+ xx 10+ 8+ 6+ 2- 0 10 20 30 40 50 60 70 Theater revenue (in millions of dollars) Figure 1 Send data to calculator Send data to Excel The least-squares regression line for these data has a slope…arrow_forward
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