Contemporary Mathematics for Business & Consumers
Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305886803
Author: Brechner
Publisher: Cengage
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Chapter 17, Problem 10AT
To determine

To calculate: The depreciation per unit for pump using units-of-production method when the cost of pump is $8,900.

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= 1. Show (a) Let G = Z/nZ be a cyclic group, so G = {1, 9, 92,...,g" } with g": that the group algebra KG has a presentation KG = K(X)/(X” — 1). (b) Let A = K[X] be the algebra of polynomials in X. Let V be the A-module with vector space K2 and where the action of X is given by the matrix Compute End(V) in the cases (i) x = p, (ii) xμl. (67) · (c) If M and N are submodules of a module L, prove that there is an isomorphism M/MON (M+N)/N. (The Second Isomorphism Theorem for modules.) You may assume that MON is a submodule of M, M + N is a submodule of L and the First Isomorphism Theorem for modules.
(a) Define the notion of an ideal I in an algebra A. Define the product on the quotient algebra A/I, and show that it is well-defined. (b) If I is an ideal in A and S is a subalgebra of A, show that S + I is a subalgebra of A and that SnI is an ideal in S. (c) Let A be the subset of M3 (K) given by matrices of the form a b 0 a 0 00 d Show that A is a subalgebra of M3(K). Ꮖ Compute the ideal I of A generated by the element and show that A/I K as algebras, where 0 1 0 x = 0 0 0 001
(a) Let HI be the algebra of quaternions. Write out the multiplication table for 1, i, j, k. Define the notion of a pure quaternion, and the absolute value of a quaternion. Show that if p is a pure quaternion, then p² = -|p|². (b) Define the notion of an (associative) algebra. (c) Let A be a vector space with basis 1, a, b. Which (if any) of the following rules turn A into an algebra? (You may assume that 1 is a unit.) (i) a² = a, b²=ab = ba 0. (ii) a² (iii) a² = b, b² = abba = 0. = b, b² = b, ab = ba = 0. (d) Let u1, 2 and 3 be in the Temperley-Lieb algebra TL4(8). ገ 12 13 Compute (u3+ Augu2)² where A EK and hence find a non-zero x € TL4 (8) such that ² = 0.

Chapter 17 Solutions

Contemporary Mathematics for Business & Consumers

Ch. 17.I - Prob. 7RECh. 17.I - Prob. 8RECh. 17.I - The Huffy Laundromat purchased new washing...Ch. 17.I - Prob. 10RECh. 17.I - Prob. 11RECh. 17.I - Prob. 12RECh. 17.I - Prob. 13RECh. 17.I - Prob. 14RECh. 17.I - Prob. 15RECh. 17.I - Prob. 16RECh. 17.I - Prob. 17RECh. 17.I - Complete Exercises 18-23 as they relate to the...Ch. 17.I - Prob. 19RECh. 17.I - Prob. 20RECh. 17.I - Complete Exercises 18-23 as they relate to the...Ch. 17.I - Prob. 22RECh. 17.I - Complete Exercises 18-23 as they relate to the...Ch. 17.I - Prob. 24RECh. 17.I - Prob. 25RECh. 17.I - Prob. 26RECh. 17.I - Prob. 27RECh. 17.I - Prob. 28RECh. 17.I - Prob. 29RECh. 17.I - Prob. 30RECh. 17.I - Prob. 31RECh. 17.I - You are the accountant for Raleigh Industries, a...Ch. 17.I - BUSINESS DECISION: REPLACING AN ASSET Supreme Auto...Ch. 17.II - Prob. 5TIECh. 17.II - Prob. 6TIECh. 17.II - 1. Ink Masters Printing purchased a new printing...Ch. 17.II - Prob. 2RECh. 17.II - Prob. 3RECh. 17.II - Prob. 4RECh. 17.II - Prob. 5RECh. 17.II - All-That-Glitters Mining Company paid $49.250.000...Ch. 17.II - 7. Sequoia Timber Company purchased land...Ch. 17.II - Prob. 8RECh. 17 - Prob. 1CRCh. 17 - Prob. 2CRCh. 17 - 3. The useful _____ is the length of time an asset...Ch. 17 - Prob. 4CRCh. 17 - 5. Depreciation methods that assume an asset...Ch. 17 - Prob. 6CRCh. 17 - Prob. 7CRCh. 17 - 8. A method of accelerated depreciation that uses...Ch. 17 - Prob. 9CRCh. 17 - Prob. 10CRCh. 17 - Prob. 11CRCh. 17 - Prob. 12CRCh. 17 - Prob. 13CRCh. 17 - When natural resources are depleted, the average...Ch. 17 - Calculate the total cost, total depreciation, and...Ch. 17 - Calculate the total cost, total depreciation, and...Ch. 17 - Oxford Manufacturing. Inc., purchased new...Ch. 17 - Prob. 4ATCh. 17 - Prob. 5ATCh. 17 - Prob. 6ATCh. 17 - Prob. 7ATCh. 17 - Prob. 8ATCh. 17 - Prob. 9ATCh. 17 - Prob. 10ATCh. 17 - Prob. 11ATCh. 17 - Screen Gems Movie Theater purchased a new...Ch. 17 - Stone Age Concrete, Inc. MACRS Depreciation...Ch. 17 - Prob. 14ATCh. 17 - In January 2002. Marine Science Corporation was...
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