Contemporary Mathematics for Business and Consumers

7th Edition

ISBN: 9781285189758

Author: Robert Brechner, George Bergeman

Publisher: Cengage Learning

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

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.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…

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Textbook Question

Chapter 6.II, Problem 39RE

Solve the following word problems for the portion, rate, or base.

According to The Miami Herald for every dollar of tip left at South Florida restaurants. 74% went to the server. 5% went to the host. 6% went to the bartender, and 15% went to the busser. One night a large party spent $750 on dinner and left a 20% tip.

a. How much tip was left?

b. Use the research percents to distribute the tip between the server, the host, the bartender, and the busser.

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Chapter 6.II, Problem 38RE

Chapter 6.II, Problem 40RE

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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.

Prove that Σ prime p≤x p=3 (mod 10) 1 Ρ = for some constant A. log log x + A+O 1 log x "

Chapter 6 Solutions

Contemporary Mathematics for Business and Consumers

Ch. 6.I - Convert the following percents to decimals. a. 27%...Ch. 6.I - Convert the following decimals or whole numbers to...Ch. 6.I - Prob. 3TIE Ch. 6.I - Prob. 4TIE Ch. 6.I - Convert the following percents to decimals. 1. Ch. 6.I - Prob. 2RE Ch. 6.I - Prob. 3RE Ch. 6.I - Prob. 4RE Ch. 6.I - Prob. 5RE Ch. 6.I - Prob. 6RE

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Solution Summary: The author explains the formula used to calculate the amount of tip left at South Florida restaurants.

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