
Practical Business Math Procedures
12th Edition
ISBN: 9781259540554
Author: Jeffrey Slater, Sharon Wittry
Publisher: McGraw-Hill Education
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Question
Chapter 21.1, Problem 1PQ
(a)
To determine
To explain: The letters used in Goodyear stock quotation.
(b)
To determine
To estimate: The company’s earnings per share.
(c)
To determine
To show: The process of calculation of “YLD %”.
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Problem 11 (a) A tank is discharging water through an orifice at a depth of T
meter below the surface of the water whose area is A m². The
following are the values of a for the corresponding values of A:
A 1.257 1.390
x 1.50 1.65
1.520 1.650 1.809 1.962 2.123 2.295 2.462|2.650
1.80 1.95 2.10 2.25 2.40 2.55 2.70
2.85
Using the formula
-3.0
(0.018)T =
dx.
calculate T, the time in seconds for the level of the water to drop
from 3.0 m to 1.5 m above the orifice.
(b) The velocity of a train which starts from rest is given by the fol-
lowing table, the time being reckoned in minutes from the start
and the speed in km/hour:
| † (minutes) |2|4 6 8 10 12
14 16 18 20
v (km/hr) 16 28.8 40 46.4 51.2 32.0 17.6 8 3.2 0
Estimate approximately the total distance ran in 20 minutes.
-
Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2
multiple of n, i.e.
n mod p, 2n mod p, ...,
p-1
2
-n mod p.
Let T be the subset of S consisting of those residues which exceed p/2.
Find the set T, and hence compute the Legendre symbol (7|23).
23
32
how come?
The first 11 multiples of 7 reduced mod 23 are
7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8.
The set T is the subset of these residues exceeding
So T = {12, 14, 17, 19, 21}.
By Gauss' lemma (Apostol Theorem 9.6),
(7|23) = (−1)|T| = (−1)5 = −1.
Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2
multiple of n, i.e.
n mod p, 2n mod p, ...,
2
p-1
-n mod p.
Let T be the subset of S consisting of those residues which exceed p/2.
Find the set T, and hence compute the Legendre symbol (7|23).
The first 11 multiples of 7 reduced mod 23 are
7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8.
23
The set T is the subset of these residues exceeding
2°
So T = {12, 14, 17, 19, 21}.
By Gauss' lemma (Apostol Theorem 9.6),
(7|23) = (−1)|T| = (−1)5 = −1.
how come?
Chapter 21 Solutions
Practical Business Math Procedures
Ch. 21.1 - From the following Texaco stock quotation (a)...Ch. 21.1 - Prob. 2PQCh. 21.1 - Prob. 1EPQCh. 21.1 - Prob. 2EPQCh. 21.1 - Prob. 1AHCh. 21.1 - Prob. 2AHCh. 21.1 -
What was the price of the last trade of Disney...Ch. 21.1 - Prob. 4AHCh. 21.1 - Prob. 5AHCh. 21.1 - Prob. 6AH
Ch. 21.1 - Prob. 7AHCh. 21.1 - Prob. 8AHCh. 21.1 - Prob. 9AHCh. 21.2 -
From the above bond quotation, (1) calculate the...Ch. 21.2 -
From the above bond quotation, check the current...Ch. 21.2 - Prob. 1EPQCh. 21.2 - Prob. 2EPQCh. 21.2 -
From the bond listing above complete the...Ch. 21.2 - Prob. 2AHCh. 21.2 - Prob. 3AHCh. 21.2 - Prob. 4AHCh. 21.2 - Prob. 5AHCh. 21.2 - Prob. 6AHCh. 21.2 - Prob. 7AHCh. 21.2 - Prob. 8AHCh. 21.2 - Prob. 9AHCh. 21.2 - Prob. 10AHCh. 21.2 - Prob. 11AHCh. 21.2 - Prob. 12AHCh. 21.2 - Prob. 13AHCh. 21.2 - Prob. 14AHCh. 21.3 - Prob. 1PQCh. 21.3 - Prob. 2PQCh. 21.3 - Prob. 3PQCh. 21.3 - Prob. 4PQCh. 21.3 - Prob. 1EPQCh. 21.3 - Prob. 2EPQCh. 21.3 - Prob. 3EPQCh. 21.3 - Prob. 4EPQCh. 21.3 - Prob. 1AHCh. 21.3 - Prob. 2AHCh. 21.3 - Prob. 3AHCh. 21.3 - Prob. 4AHCh. 21.3 - Prob. 5AHCh. 21.3 - Prob. 6AHCh. 21.3 - Prob. 7AHCh. 21.3 - Prob. 8AHCh. 21.3 - Prob. 9AHCh. 21.3 - Prob. 10AHCh. 21.3 - Prob. 11AHCh. 21.3 - Prob. 12AHCh. 21.3 - Prob. 13AHCh. 21.3 - Prob. 14AHCh. 21.3 - Prob. 15AHCh. 21.3 - Prob. 16AHCh. 21.3 - Prob. 17AHCh. 21 - Prob. 1ECPCh. 21 - Prob. 2ECPCh. 21 - Prob. 3ECPCh. 21 - Prob. 4ECPCh. 21 - Prob. 5ECPCh. 21 - Prob. 6ECPCh. 21 - Calculate the total cost of buying 400 shares of...Ch. 21 - Prob. 8ECPCh. 21 - Prob. 9ECPCh. 21 - Prob. 10ECPCh. 21 - Prob. 11ECPCh. 21 - Prob. 12ECPCh. 21 - Prob. 13ECPCh. 21 - Prob. 14ECPCh. 21 - Prob. 15ECPCh. 21 - Prob. 16ECPCh. 21 - Prob. 17ECPCh. 21 - Prob. 18ECPCh. 21 - Prob. 19ECPCh. 21 - Prob. 20ECPCh. 21 - The following bond was quoted in The Wall Street...Ch. 21 - Prob. 22ECPCh. 21 - Prob. 23ECPCh. 21 - Prob. 24ECPCh. 21 - Prob. 25ECPCh. 21 - Prob. 26ECPCh. 21 - Prob. 27ECPCh. 21 - Prob. 28ECPCh. 21 - Prob. 29ECPCh. 21 - Prob. 30ECPCh. 21 - On September 6, Irene Westing purchased one bond...Ch. 21 - Prob. 1PTCh. 21 - Prob. 2PTCh. 21 - Prob. 3PTCh. 21 - Prob. 4PTCh. 21 - Prob. 5PTCh. 21 - Prob. 6PTCh. 21 - Prob. 7PT
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