
Pearson eText for Business Math -- Instant Access (Pearson+)
11th Edition
ISBN: 9780137518883
Author: Cheryl Cleaves, Margie Hobbs
Publisher: PEARSON+
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Chapter 20, Problem 3ES
To determine
To calculate: The sales tax for a purchase cost of
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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 20 Solutions
Pearson eText for Business Math -- Instant Access (Pearson+)
Ch. 20.1 - Prob. 1-1SCCh. 20.1 - Prob. 1-2SCCh. 20.1 - Prob. 1-3SCCh. 20.1 - Prob. 1-4SCCh. 20.1 - Prob. 1-5SCCh. 20.1 - Prob. 1-6SCCh. 20.1 - Prob. 2-1SCCh. 20.1 - Prob. 2-2SCCh. 20.1 - Prob. 2-3SCCh. 20.1 - Prob. 2-4SC
Ch. 20.1 - Prob. 1SECh. 20.1 - Prob. 2SECh. 20.1 - Prob. 3SECh. 20.1 - Prob. 4SECh. 20.1 - Prob. 5SECh. 20.1 - Prob. 6SECh. 20.1 - Prob. 7SECh. 20.1 - Prob. 8SECh. 20.1 - Prob. 9SECh. 20.1 - Prob. 10SECh. 20.1 - Prob. 11SECh. 20.1 - Prob. 12SECh. 20.1 - Prob. 13SECh. 20.1 - Prob. 14SECh. 20.1 - Prob. 15SECh. 20.1 - Prob. 16SECh. 20.1 - Prob. 17SECh. 20.1 - Prob. 18SECh. 20.1 - Prob. 19SECh. 20.1 - Prob. 20SECh. 20.2 - Prob. 1-1SCCh. 20.2 - Prob. 1-2SCCh. 20.2 - Prob. 1-3SCCh. 20.2 - Prob. 1-4SCCh. 20.2 - Prob. 2-1SCCh. 20.2 - Prob. 2-2SCCh. 20.2 - Prob. 2-3SCCh. 20.2 - Prob. 2-4SCCh. 20.2 - Prob. 3-1SCCh. 20.2 - Prob. 3-2SCCh. 20.2 - Prob. 3-3SCCh. 20.2 - Prob. 3-4SCCh. 20.2 - Prob. 3-5SCCh. 20.2 - Prob. 3-6SCCh. 20.2 - Prob. 1SECh. 20.2 - Prob. 2SECh. 20.2 - Prob. 3SECh. 20.2 - Prob. 4SECh. 20.2 - Prob. 5SECh. 20.2 - Prob. 6SECh. 20.2 - Prob. 7SECh. 20.2 - Prob. 8SECh. 20.2 - Prob. 9SECh. 20.2 - Prob. 10SECh. 20.2 - Prob. 11SECh. 20.2 - Prob. 12SECh. 20.2 - Prob. 13SECh. 20.2 - Prob. 14SECh. 20.2 - Prob. 15SECh. 20.2 - Prob. 16SECh. 20.2 - Prob. 17SECh. 20.2 - Prob. 18SECh. 20.2 - Prob. 19SECh. 20.2 - Prob. 20SECh. 20.2 - Prob. 21SECh. 20.2 - Prob. 22SECh. 20.2 - Prob. 23SECh. 20.3 - Prob. 1-1SCCh. 20.3 - Prob. 1-2SCCh. 20.3 - Prob. 1-3SCCh. 20.3 - Prob. 1-4SCCh. 20.3 - Prob. 2-1SCCh. 20.3 - Prob. 2-2SCCh. 20.3 - Prob. 2-3SCCh. 20.3 - Prob. 2-4SCCh. 20.3 - Prob. 3-1SCCh. 20.3 - Prob. 3-2SCCh. 20.3 - Prob. 3-3SCCh. 20.3 - Prob. 3-4SCCh. 20.3 - Prob. 1SECh. 20.3 - Prob. 2SECh. 20.3 - Prob. 3SECh. 20.3 - Prob. 4SECh. 20.3 - Prob. 5SECh. 20.3 - Prob. 6SECh. 20.3 - Prob. 7SECh. 20.3 - Prob. 8SECh. 20.3 - Prob. 9SECh. 20.3 - Prob. 10SECh. 20.3 - Prob. 11SECh. 20.3 - Prob. 12SECh. 20.3 - Prob. 13SECh. 20.3 - Prob. 14SECh. 20.3 - Prob. 15SECh. 20.3 - Prob. 16SECh. 20.3 - Prob. 17SECh. 20.3 - Prob. 18SECh. 20.3 - Prob. 19SECh. 20.3 - Prob. 20SECh. 20 - Prob. 1ESCh. 20 - Prob. 2ESCh. 20 - Prob. 3ESCh. 20 - Prob. 4ESCh. 20 - Prob. 5ESCh. 20 - Prob. 6ESCh. 20 - Prob. 7ESCh. 20 - Prob. 8ESCh. 20 - Prob. 9ESCh. 20 - Prob. 10ESCh. 20 - Prob. 11ESCh. 20 - Prob. 12ESCh. 20 - Prob. 13ESCh. 20 - Prob. 14ESCh. 20 - Prob. 15ESCh. 20 - Prob. 16ESCh. 20 - Prob. 17ESCh. 20 - Prob. 18ESCh. 20 - Prob. 19ESCh. 20 - Prob. 20ESCh. 20 - Prob. 21ESCh. 20 - Prob. 22ESCh. 20 - Prob. 23ESCh. 20 - Prob. 24ESCh. 20 - Prob. 25ESCh. 20 - Prob. 26ESCh. 20 - Prob. 27ESCh. 20 - Prob. 28ESCh. 20 - Prob. 29ESCh. 20 - Prob. 30ESCh. 20 - Prob. 31ESCh. 20 - Prob. 32ESCh. 20 - Prob. 33ESCh. 20 - Prob. 34ESCh. 20 - Prob. 35ESCh. 20 - Prob. 36ESCh. 20 - Prob. 37ESCh. 20 - Prob. 38ESCh. 20 - Prob. 39ESCh. 20 - Prob. 40ESCh. 20 - Prob. 41ESCh. 20 - Prob. 42ESCh. 20 - Prob. 43ESCh. 20 - Prob. 44ESCh. 20 - Prob. 45ESCh. 20 - Prob. 46ESCh. 20 - Prob. 47ESCh. 20 - Prob. 48ESCh. 20 - Prob. 49ESCh. 20 - Prob. 50ESCh. 20 - Prob. 51ESCh. 20 - Prob. 52ESCh. 20 - Prob. 53ESCh. 20 - Prob. 54ESCh. 20 - Prob. 55ESCh. 20 - Prob. 56ESCh. 20 - Prob. 57ESCh. 20 - Prob. 58ESCh. 20 - Prob. 59ESCh. 20 - Prob. 60ESCh. 20 - Prob. 61ESCh. 20 - Prob. 62ESCh. 20 - Prob. 63ESCh. 20 - Prob. 64ESCh. 20 - Prob. 65ESCh. 20 - Prob. 66ESCh. 20 - Prob. 67ESCh. 20 - Prob. 68ESCh. 20 - Prob. 69ESCh. 20 - Prob. 70ESCh. 20 - Prob. 71ESCh. 20 - Prob. 72ESCh. 20 - Prob. 1PTCh. 20 - Prob. 2PTCh. 20 - Prob. 3PTCh. 20 - Prob. 4PTCh. 20 - Prob. 5PTCh. 20 - Prob. 6PTCh. 20 - Prob. 7PTCh. 20 - Prob. 8PTCh. 20 - Prob. 9PTCh. 20 - Prob. 10PTCh. 20 - Prob. 11PTCh. 20 - Prob. 12PTCh. 20 - Prob. 13PTCh. 20 - Prob. 14PTCh. 20 - Prob. 15PTCh. 20 - Prob. 16PTCh. 20 - Prob. 17PTCh. 20 - Prob. 18PTCh. 20 - Prob. 19PTCh. 20 - Prob. 20PTCh. 20 - Prob. 21PTCh. 20 - Prob. 22PTCh. 20 - Prob. 1CTCh. 20 - Prob. 2CTCh. 20 - Prob. 3CTCh. 20 - Prob. 4CTCh. 20 - Prob. 5CTCh. 20 - Prob. 6CTCh. 20 - Prob. 7CTCh. 20 - Prob. 8CTCh. 20 - Prob. 1CPCh. 20 - Prob. 2CPCh. 20 - Prob. 1CS1Ch. 20 - Prob. 2CS1Ch. 20 - Prob. 3CS1Ch. 20 - Prob. 4CS1Ch. 20 - Prob. 1CS2Ch. 20 - Prob. 2CS2Ch. 20 - Prob. 3CS2Ch. 20 - Prob. 4CS2
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