Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305886803
Author: Brechner
Publisher: Cengage
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Chapter 15.III, Problem 32RE
To determine
To calculate: The return on investment of the company Dynamic optical which has owner’s equity of
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2=
1. Let 2 {a, b, c} be the sample space.
(a) Write down the power set of 2.
Theorem: show that XCH) = M(E) M" (6) E +
t
Mcfic
S
a
Solution of ODE
-9CA)-
x = ACE) x + g (t) + X (E) - E
Exercise 1
Given are the following planes:
plane 1:
3x4y+z = 1
0
plane 2:
(s, t) =
( 2 ) + (
-2
5 s+
0
(
3 t
2
-2
a) Find for both planes the Hessian normal form and for plane 1 in addition the parameter form.
b) Use the cross product of the two normal vectors to show that the planes intersect in a line.
c) Calculate the intersection line.
d) Calculate the intersection angle of the planes. Make a sketch to indicate which angle you are
calculating.
Chapter 15 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 15.I - Use the following financial information to prepare...Ch. 15.I - Prob. 2TIECh. 15.I - Prob. 3TIECh. 15.I - Prob. 1RECh. 15.I - Prob. 2RECh. 15.I - Prob. 3RECh. 15.I - Prob. 4RECh. 15.I - Prob. 5RECh. 15.I - Prob. 6RECh. 15.I - Calculate the following values according to the...
Ch. 15.I - Prob. 8RECh. 15.I - Calculate the missing balance sheet items for...Ch. 15.I - Prob. 10RECh. 15.I - Prob. 11RECh. 15.I - Prob. 12RECh. 15.I - Prob. 13RECh. 15.I - For the following balance sheet items, check the...Ch. 15.I - For the following balance sheet items, check the...Ch. 15.I - Prob. 16RECh. 15.I - Prob. 17RECh. 15.I - Prob. 18RECh. 15.I - Prob. 19RECh. 15.I - Prob. 20RECh. 15.I - Prob. 21RECh. 15.I - For the following balance sheet items, check the...Ch. 15.I - Prob. 23RECh. 15.I - Prob. 24RECh. 15.I - Prob. 25RECh. 15.I - For the following balance sheet items, check the...Ch. 15.I - Prob. 27RECh. 15.I - Prob. 28RECh. 15.I - Prob. 29RECh. 15.I - Prob. 30RECh. 15.I - Prob. 31RECh. 15.I - Prob. 32RECh. 15.I - Prob. 33RECh. 15.I - Prepare the following statements on separate...Ch. 15.I - a. Use the following financial information to...Ch. 15.II - Prob. 4TIECh. 15.II - Prob. 5TIECh. 15.II - Prob. 6TIECh. 15.II - Prob. 1RECh. 15.II - Prob. 2RECh. 15.II - Prob. 3RECh. 15.II - Prob. 4RECh. 15.II - Calculate the missing information based on the...Ch. 15.II - Prob. 6RECh. 15.II - Prob. 7RECh. 15.II - Prob. 8RECh. 15.II - Prob. 9RECh. 15.II - Prob. 10RECh. 15.II - Prob. 11RECh. 15.II - 12. For the third quarter. Micro Tech had gross...Ch. 15.II - For August, Island Traders, Inc. had the following...Ch. 15.II - Prepare the following statements on separate...Ch. 15.II - Prepare the following statements on separate...Ch. 15.III - Use the balance sheet and income statement on...Ch. 15.III - Prob. 8TIECh. 15.III - Prob. 1RECh. 15.III - Prob. 2RECh. 15.III - Prob. 3RECh. 15.III - Prob. 4RECh. 15.III - Prob. 5RECh. 15.III - Prob. 6RECh. 15.III - Prob. 7RECh. 15.III - Prob. 8RECh. 15.III - Prob. 9RECh. 15.III - Prob. 10RECh. 15.III - Prob. 11RECh. 15.III - Prob. 12RECh. 15.III - Prob. 13RECh. 15.III - Prob. 14RECh. 15.III - Calculate the average inventory and inventory...Ch. 15.III - Prob. 16RECh. 15.III - Prob. 17RECh. 15.III - Prob. 18RECh. 15.III - Prob. 19RECh. 15.III - Prob. 20RECh. 15.III - Prob. 21RECh. 15.III - Prob. 22RECh. 15.III - Prob. 23RECh. 15.III - Prob. 24RECh. 15.III - Calculate the gross and net profits and the two...Ch. 15.III - Prob. 26RECh. 15.III - Prob. 27RECh. 15.III - Prob. 28RECh. 15.III - Prob. 29RECh. 15.III - Prob. 30RECh. 15.III - Prob. 31RECh. 15.III - Prob. 32RECh. 15.III - Prob. 33RECh. 15 - 1. In accounting, economic resources owned by a...Ch. 15 - 2. The financial statement that illustrates the...Ch. 15 - 3. The balance sheet is a visual presentation of...Ch. 15 - Prob. 4CRCh. 15 - 5. A financial statement prepared with the data...Ch. 15 - Prob. 6CRCh. 15 - Prob. 7CRCh. 15 - Prob. 8CRCh. 15 - Prob. 9CRCh. 15 - Prob. 10CRCh. 15 - Prob. 11CRCh. 15 - Prob. 12CRCh. 15 - Prob. 13CRCh. 15 - Prob. 14CRCh. 15 - Prob. 1ATCh. 15 - Prob. 2ATCh. 15 - Prob. 3ATCh. 15 - Prob. 4ATCh. 15 - a. Use the following financial information to...Ch. 15 - a. Use the following financial information to...Ch. 15 - For the second quarter. Evergreen Plant Nursery...Ch. 15 - 8. For the month of January. Consolidated Engine...Ch. 15 - Prob. 9ATCh. 15 - a. Use the following financial information to...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - Prob. 22ATCh. 15 - Prob. 23ATCh. 15 - 24. From the following consolidated statements of...
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- 1. Let 2 (a, b, c)} be the sample space. (a) Write down the power set of 2. (b) Construct a σ-field containing A = {a, b} and B = {b, c}. (c) Show that F= {0, 2, {a, b}, {b, c}, {b}} is not a σ-field. Add some elements to make it a σ-field..arrow_forward13. Let (, F, P) be a probability space and X a function from 2 to R. Explain when X is a random variable.arrow_forward24. A factory produces items from two machines: Machine A and Machine B. Machine A produces 60% of the total items, while Machine B produces 40%. The probability that an item produced by Machine A is defective is P(DIA)=0.03. The probability that an item produced by Machine B is defective is P(D|B)=0.05. (a) What is the probability that a randomly selected product be defective, P(D)? (b) If a randomly selected item from the production line is defective, calculate the probability that it was produced by Machine A, P(A|D).arrow_forward
- (b) In various places in this module, data on the silver content of coins minted in the reign of the twelfth-century Byzantine king Manuel I Comnenus have been considered. The full dataset is in the Minitab file coins.mwx. The dataset includes, among others, the values of the silver content of nine coins from the first coinage (variable Coin1) and seven from the fourth coinage (variable Coin4) which was produced a number of years later. (For the purposes of this question, you can ignore the variables Coin2 and Coin3.) In particular, in Activity 8 and Exercise 2 of Computer Book B, it was argued that the silver contents in both the first and the fourth coinages can be assumed to be normally distributed. The question of interest is whether there were differences in the silver content of coins minted early and late in Manuel’s reign. You are about to investigate this question using a two-sample t-interval. (i) Using Minitab, find either the sample standard deviations of the two variables…arrow_forward5. (a) State the Residue Theorem. Your answer should include all the conditions required for the theorem to hold. (4 marks) (b) Let y be the square contour with vertices at -3, -3i, 3 and 3i, described in the anti-clockwise direction. Evaluate に dz. You must check all of the conditions of any results that you use. (5 marks) (c) Evaluate L You must check all of the conditions of any results that you use. ཙ x sin(Tx) x²+2x+5 da. (11 marks)arrow_forward3. (a) Lety: [a, b] C be a contour. Let L(y) denote the length of y. Give a formula for L(y). (1 mark) (b) Let UCC be open. Let f: U→C be continuous. Let y: [a,b] → U be a contour. Suppose there exists a finite real number M such that |f(z)| < M for all z in the image of y. Prove that < ||, f(z)dz| ≤ ML(y). (3 marks) (c) State and prove Liouville's theorem. You may use Cauchy's integral formula without proof. (d) Let R0. Let w € C. Let (10 marks) U = { z Є C : | z − w| < R} . Let f UC be a holomorphic function such that 0 < |ƒ(w)| < |f(z)| for all z Є U. Show, using the local maximum modulus principle, that f is constant. (6 marks)arrow_forward
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