Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Chapter 15.III, Problem 8RE
To determine
To calculate: The number of quick assets and the acid test ratio for the company Thunderbird Electronics, Inc. which has a cash balance of
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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 15 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 15.I - Use the following financial information to prepare...Ch. 15.I - Prob. 2TIECh. 15.I - Prob. 3TIECh. 15.I - Prob. 1RECh. 15.I - Prob. 2RECh. 15.I - Prob. 3RECh. 15.I - Prob. 4RECh. 15.I - Prob. 5RECh. 15.I - Prob. 6RECh. 15.I - Calculate the following values according to the...
Ch. 15.I - Prob. 8RECh. 15.I - Calculate the missing balance sheet items for...Ch. 15.I - Prob. 10RECh. 15.I - Prob. 11RECh. 15.I - Prob. 12RECh. 15.I - Prob. 13RECh. 15.I - For the following balance sheet items, check the...Ch. 15.I - For the following balance sheet items, check the...Ch. 15.I - Prob. 16RECh. 15.I - Prob. 17RECh. 15.I - Prob. 18RECh. 15.I - Prob. 19RECh. 15.I - Prob. 20RECh. 15.I - Prob. 21RECh. 15.I - For the following balance sheet items, check the...Ch. 15.I - Prob. 23RECh. 15.I - Prob. 24RECh. 15.I - Prob. 25RECh. 15.I - For the following balance sheet items, check the...Ch. 15.I - Prob. 27RECh. 15.I - Prob. 28RECh. 15.I - Prob. 29RECh. 15.I - Prob. 30RECh. 15.I - Prob. 31RECh. 15.I - Prob. 32RECh. 15.I - Prob. 33RECh. 15.I - Prepare the following statements on separate...Ch. 15.I - a. Use the following financial information to...Ch. 15.II - Prob. 4TIECh. 15.II - Prob. 5TIECh. 15.II - Prob. 6TIECh. 15.II - Prob. 1RECh. 15.II - Prob. 2RECh. 15.II - Prob. 3RECh. 15.II - Prob. 4RECh. 15.II - Calculate the missing information based on the...Ch. 15.II - Prob. 6RECh. 15.II - Prob. 7RECh. 15.II - Prob. 8RECh. 15.II - Prob. 9RECh. 15.II - Prob. 10RECh. 15.II - Prob. 11RECh. 15.II - 12. For the third quarter. Micro Tech had gross...Ch. 15.II - For August, Island Traders, Inc. had the following...Ch. 15.II - Prepare the following statements on separate...Ch. 15.II - Prepare the following statements on separate...Ch. 15.III - Use the balance sheet and income statement on...Ch. 15.III - Prob. 8TIECh. 15.III - Prob. 1RECh. 15.III - Prob. 2RECh. 15.III - Prob. 3RECh. 15.III - Prob. 4RECh. 15.III - Prob. 5RECh. 15.III - Prob. 6RECh. 15.III - Prob. 7RECh. 15.III - Prob. 8RECh. 15.III - Prob. 9RECh. 15.III - Prob. 10RECh. 15.III - Prob. 11RECh. 15.III - Prob. 12RECh. 15.III - Prob. 13RECh. 15.III - Prob. 14RECh. 15.III - Calculate the average inventory and inventory...Ch. 15.III - Prob. 16RECh. 15.III - Prob. 17RECh. 15.III - Prob. 18RECh. 15.III - Prob. 19RECh. 15.III - Prob. 20RECh. 15.III - Prob. 21RECh. 15.III - Prob. 22RECh. 15.III - Prob. 23RECh. 15.III - Prob. 24RECh. 15.III - Calculate the gross and net profits and the two...Ch. 15.III - Prob. 26RECh. 15.III - Prob. 27RECh. 15.III - Prob. 28RECh. 15.III - Prob. 29RECh. 15.III - Prob. 30RECh. 15.III - Prob. 31RECh. 15.III - Prob. 32RECh. 15.III - Prob. 33RECh. 15 - 1. In accounting, economic resources owned by a...Ch. 15 - 2. The financial statement that illustrates the...Ch. 15 - 3. The balance sheet is a visual presentation of...Ch. 15 - Prob. 4CRCh. 15 - 5. A financial statement prepared with the data...Ch. 15 - Prob. 6CRCh. 15 - Prob. 7CRCh. 15 - Prob. 8CRCh. 15 - Prob. 9CRCh. 15 - Prob. 10CRCh. 15 - Prob. 11CRCh. 15 - Prob. 12CRCh. 15 - Prob. 13CRCh. 15 - Prob. 14CRCh. 15 - Prob. 1ATCh. 15 - Prob. 2ATCh. 15 - Prob. 3ATCh. 15 - Prob. 4ATCh. 15 - a. Use the following financial information to...Ch. 15 - a. Use the following financial information to...Ch. 15 - For the second quarter. Evergreen Plant Nursery...Ch. 15 - 8. For the month of January. Consolidated Engine...Ch. 15 - Prob. 9ATCh. 15 - a. Use the following financial information to...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - As the accounting manager of Spring Creek...Ch. 15 - Prob. 22ATCh. 15 - Prob. 23ATCh. 15 - 24. From the following consolidated statements of...
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