Practical Business Math Procedures
12th Edition
ISBN: 9781259540554
Author: Jeffrey Slater, Sharon Wittry
Publisher: McGraw-Hill Education
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Chapter 1, Problem 32ECP
To determine
The difference of the numbers 190 and 66.
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Without evaluating the Legendre symbols, prove the following.
(i) 1(173)+2(2|73)+3(3|73) +...+72(72|73) = 0.
(Hint: As r runs through the numbers 1,2,.
(ii) 1²(1|71)+2²(2|71) +3²(3|71) +...+70² (70|71)
= 71{1(1|71) + 2(2|71) ++70(70|71)}.
72, so does 73 – r.)
By considering the number N = 16p²/p... p² - 2, where P1, P2, … … … ‚ Pn
are primes, prove that there are infinitely many primes of the form
8k - 1.
(c) (i) By first considering the case where n is a prime power, prove that
n
μ² (d)
=
ø(n)
(d)'
n≥ 1.
d\n
(ii) Verify the result of part (c)(i) when n =
20.
Chapter 1 Solutions
Practical Business Math Procedures
Ch. 1.1 - Write in verbal form:
7,948
...Ch. 1.1 - Prob. 2PQCh. 1.1 - Kellogg’s reported its sales as five million, one...Ch. 1.1 - Write in verbal form:
8,682
...Ch. 1.1 - Prob. 2EPQCh. 1.1 - Kellogg’s reported its sales as three million, two...Ch. 1.1 - Express the following numbers in verbal...Ch. 1.1 - Write in numeric form:
Eighty thousand, two...Ch. 1.1 - Round the following numbers:
To the nearest...Ch. 1.1 - Round off each number to the nearest ten, nearest...
Ch. 1.1 - Name the place position (place value) of the...Ch. 1.1 - Gim Smith was shopping for an Apple computer. He...Ch. 1.1 - Amy Parker had to write a check at the bookstore...Ch. 1.1 - Matt Schaeffer was listening to the news and heard...Ch. 1.1 - Jackie Martin is the city clerk and must go to the...Ch. 1.1 - A government survey revealed that 25,963,400...Ch. 1.1 - Bob Donaldson wished to present his top student...Ch. 1.1 - Nancy Morrissey has a problem reading large...Ch. 1.2 - Add by totaling each separate column:
Ch. 1.2 - Estimate by rounding all the way (do not round the...Ch. 1.2 - Subtract and check your answer:
Ch. 1.2 - Jackson Manufacturing Company projected its year...Ch. 1.2 - Add by totaling each separate column:
Ch. 1.2 - Estimate by rounding all the way (do not round the...Ch. 1.2 - Subtract and check your answer:
Ch. 1.2 - Jackson Manufacturing Company projected its year...Ch. 1.2 - Add by totaling each separate column:
Ch. 1.2 - Prob. 2AHCh. 1.2 - Prob. 3AHCh. 1.2 - Subtract and check:
Ch. 1.2 - Prob. 5AHCh. 1.2 - Prob. 6AHCh. 1.2 - Prob. 7AHCh. 1.2 - Prob. 8AHCh. 1.2 - Prob. 9AHCh. 1.2 - Prob. 10AHCh. 1.2 - Prob. 11AHCh. 1.2 - Prob. 12AHCh. 1.2 - Prob. 13AHCh. 1.3 - Estimate the actual problem by rounding all the...Ch. 1.3 - Prob. 2PQCh. 1.3 - Prob. 3PQCh. 1.3 - Prob. 4PQCh. 1.3 - Prob. 5PQCh. 1.3 - Prob. 6PQCh. 1.3 - Prob. 1EPQCh. 1.3 - Prob. 2EPQCh. 1.3 - Prob. 3EPQCh. 1.3 - Prob. 4EPQCh. 1.3 - Prob. 5EPQCh. 1.3 - Prob. 6EPQCh. 1.3 - Prob. 1AHCh. 1.3 - Prob. 2AHCh. 1.3 - Prob. 3AHCh. 1.3 - Prob. 4AHCh. 1.3 - Prob. 5AHCh. 1.3 - Prob. 6AHCh. 1.3 - Prob. 7AHCh. 1.3 - Prob. 8AHCh. 1.3 - Prob. 9AHCh. 1.3 - Prob. 10AHCh. 1.3 - Prob. 11AHCh. 1.3 - Prob. 12AHCh. 1.3 - Ben Krenshaw’s supervisor at the construction site...Ch. 1 - Prob. 1ECPCh. 1 - Prob. 2ECPCh. 1 - Prob. 3ECPCh. 1 - Prob. 4ECPCh. 1 - Prob. 5ECPCh. 1 - Add the following: LU 1-2(1)
Ch. 1 - Prob. 7ECPCh. 1 - Prob. 8ECPCh. 1 - Prob. 9ECPCh. 1 - Prob. 10ECPCh. 1 - Prob. 11ECPCh. 1 - Prob. 12ECPCh. 1 - Prob. 13ECPCh. 1 - Multiply the following: LU 1-3(1)
Ch. 1 - Prob. 15ECPCh. 1 - Multiply the following: LU 1-3(1)
Ch. 1 - Multiply the following: LU 1-3(1)
Ch. 1 - Prob. 18ECPCh. 1 - Prob. 19ECPCh. 1 - Prob. 20ECPCh. 1 - Prob. 21ECPCh. 1 - Prob. 22ECPCh. 1 - Prob. 23ECPCh. 1 - Prob. 24ECPCh. 1 - Prob. 25ECPCh. 1 - Prob. 26ECPCh. 1 - Prob. 27ECPCh. 1 - Prob. 28ECPCh. 1 - Add the following and check by totaling each...Ch. 1 - Prob. 30ECPCh. 1 - Prob. 31ECPCh. 1 - Prob. 32ECPCh. 1 - Prob. 33ECPCh. 1 - Prob. 34ECPCh. 1 - Prob. 35ECPCh. 1 - Prob. 36ECPCh. 1 - Prob. 37ECPCh. 1 - Prob. 38ECPCh. 1 - Prob. 39ECPCh. 1 - Prob. 40ECPCh. 1 - Prob. 41ECPCh. 1 - Prob. 42ECPCh. 1 - Prob. 43ECPCh. 1 - Prob. 44ECPCh. 1 - Prob. 45ECPCh. 1 - Prob. 46ECPCh. 1 - Prob. 47ECPCh. 1 - Prob. 48ECPCh. 1 - Prob. 49ECPCh. 1 - Prob. 50ECPCh. 1 - Prob. 51ECPCh. 1 - Prob. 52ECPCh. 1 - Prob. 53ECPCh. 1 - Yahoo! Health reported in November 2014 that 6 out...Ch. 1 - Prob. 55ECPCh. 1 - Prob. 56ECPCh. 1 - Prob. 57ECPCh. 1 - Ron Alf, owner of Alf’s Moving Company, bought a...Ch. 1 - Prob. 59ECPCh. 1 - Prob. 60ECPCh. 1 - Prob. 61ECPCh. 1 - Prob. 62ECPCh. 1 - Prob. 63ECPCh. 1 - Prob. 64ECPCh. 1 - Prob. 65ECPCh. 1 - Prob. 66ECPCh. 1 - Roger Company produces beach balls and operates...Ch. 1 - Prob. 68ECPCh. 1 - Prob. 69ECPCh. 1 - Prob. 70ECPCh. 1 - Prob. 71ECPCh. 1 - Prob. 72ECPCh. 1 - Prob. 73ECPCh. 1 - Prob. 74ECPCh. 1 - Prob. 75ECPCh. 1 - Paula Sanchez is trying to determine her 2015...Ch. 1 - Prob. 1PTCh. 1 - Express the following number in verbal...Ch. 1 - Round the following numbers. LU 1-1(2)
Ch. 1 - Prob. 4PTCh. 1 - Prob. 5PTCh. 1 - Prob. 6PTCh. 1 - Prob. 7PTCh. 1 - Divide the following by the shortcut method. LU...Ch. 1 - Prob. 9PTCh. 1 - Sam Song plans to buy a $16,000 Ford Focus with an...Ch. 1 - Lester Hal has the oil tank at his business filled...
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