Contemporary Mathematics for Business & Consumers - With LMS CengageNOW

8th Edition

ISBN: 9781337125468

Author: Brechner

Publisher: Cengage

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Unitary Method

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Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

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Textbook Question

Chapter 8.III, Problem 23RE

Solve the following word problems. Round dollars to the nearest cent and percents to the nearest tenth of a percent.

You have decided to purchase a set of four Good-Ride tires for your vehicle at the Tire Emporium.

a. If the original price of these tires is $160.00 each, what are the amount of the markdown with rebate per tire and the markdown percent if you get the rebate and pay cash?

b. What are the amount of the markdown per tire and the markdown percent if you decide to put the purchase on your Good-Ride credit card and get the double rebate?

c. When you purchased the set of four tires, you were offered an “Extra 5 %

" discount on the entire purchase if you also included wheel balancing at $5.75 per tire and a front-end alignment for $65.00. The sales tax in your state is 7.5 % . What was the total amount of your purchase if you used your Good-Ride credit card? Use the unrounded markdown percent you found in part b in your calculations.

d. What are the advantages and disadvantages of using the credit card?

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Chapter 8.III, Problem 22RE

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Q1) Classify the following statements as a true or false statements a. Any ring with identity is a finitely generated right R module.- b. An ideal 22 is small ideal in Z c. A nontrivial direct summand of a module cannot be large or small submodule d. The sum of a finite family of small submodules of a module M is small in M A module M 0 is called directly indecomposable if and only if 0 and M are the only direct summands of M f. A monomorphism a: M-N is said to split if and only if Ker(a) is a direct- summand in M & Z₂ contains no minimal submodules h. Qz is a finitely generated module i. Every divisible Z-module is injective j. Every free module is a projective module Q4) Give an example and explain your claim in each case a) A module M which has two composition senes 7 b) A free subset of a modale c) A free module 24 d) A module contains a direct summand submodule 7, e) A short exact sequence of modules 74.

************* ********************************* Q.1) Classify the following statements as a true or false statements: a. If M is a module, then every proper submodule of M is contained in a maximal submodule of M. b. The sum of a finite family of small submodules of a module M is small in M. c. Zz is directly indecomposable. d. An epimorphism a: M→ N is called solit iff Ker(a) is a direct summand in M. e. The Z-module has two composition series. Z 6Z f. Zz does not have a composition series. g. Any finitely generated module is a free module. h. If O→A MW→ 0 is short exact sequence then f is epimorphism. i. If f is a homomorphism then f-1 is also a homomorphism. Maximal C≤A if and only if is simple. Sup Q.4) Give an example and explain your claim in each case: Monomorphism not split. b) A finite free module. c) Semisimple module. d) A small submodule A of a module N and a homomorphism op: MN, but (A) is not small in M.

Chapter 8 Solutions

Contemporary Mathematics for Business & Consumers - With LMS CengageNOW

Ch. 8.I - For the following, use the basic retailing...Ch. 8.I - For the following, use the basic retailing...Ch. 8.I - Prob. 3TIE Ch. 8.I - Prob. 4TIE Ch. 8.I - Prob. 5TIE Ch. 8.I - Prob. 6TIE Ch. 8.I - Prob. 1RE Ch. 8.I - For the following items, calculate the missing...Ch. 8.I - Prob. 3RE Ch. 8.I - For the following items, calculate the missing...

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