
Contemporary Mathematics for Business and Consumers
7th Edition
ISBN: 9781285189758
Author: Robert Brechner, George Bergeman
Publisher: Cengage Learning
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Chapter 13.II, Problem 40RE
To determine
To calculate: The rebate fraction, finance charge rebate and loan payoff if amount financed are
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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 13 Solutions
Contemporary Mathematics for Business and Consumers
Ch. 13.I - Mike Dennis has a Bank of America account with an...Ch. 13.I - Kendra Wolf has a Bank of America revolving credit...Ch. 13.I - Angler Marine has a $75,000 line of credit with...Ch. 13.I - Calculate the missing information on the following...Ch. 13.I - Calculate the missing information on the following...Ch. 13.I - Calculate the missing information on the following...Ch. 13.I - Calculate the missing information on the following...Ch. 13.I - Prob. 5RECh. 13.I - Calculate the missing information on the following...Ch. 13.I - Anny Winslow has a Bank of America revolving...
Ch. 13.I - Kathy Hansen has a revolving credit account. The...Ch. 13.I - Kathy Hansen has a revolving credit account. The...Ch. 13.I - Kathy Hansen has a revolving credit account. The...Ch. 13.I - Prob. 11RECh. 13.I - Kathy Hansen has a revolving credit account. The...Ch. 13.I - Prob. 13RECh. 13.I - 14. Calculate the average daily balance for...Ch. 13.I - 15. Calculate the average daily balance for...Ch. 13.I - Carolyn Salkind has a Bank of America revolving...Ch. 13.I - Prob. 17RECh. 13.I - The Jewelry Exchange has a $30,000 line of credit...Ch. 13.II - Bob Johnson found a car he wanted to buy at...Ch. 13.II - Prob. 5TIECh. 13.II - Prob. 6TIECh. 13.II - Prob. 7TIECh. 13.II - Prob. 8TIECh. 13.II - Prob. 9TIECh. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Prob. 3RECh. 13.II - Prob. 4RECh. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Prob. 6RECh. 13.II - Prob. 7RECh. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Prob. 9RECh. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Calculate the amount financed, the finance charge,...Ch. 13.II - Calculate the finance charge, the finance charge...Ch. 13.II - Prob. 16RECh. 13.II - Prob. 17RECh. 13.II - Calculate the finance charge, the finance charge...Ch. 13.II - Calculate the finance charge, the finance charge...Ch. 13.II - Calculate the finance charge, the finance charge...Ch. 13.II - Prob. 21RECh. 13.II - Prob. 22RECh. 13.II - Prob. 23RECh. 13.II - Calculate the finance charge and the annual...Ch. 13.II - Prob. 25RECh. 13.II - Prob. 26RECh. 13.II - Prob. 27RECh. 13.II - Calculate the finance charge and the monthly...Ch. 13.II - Calculate the finance charge and the monthly...Ch. 13.II - Calculate the finance charge and the monthly...Ch. 13.II - Prob. 31RECh. 13.II - Prob. 32RECh. 13.II - Calculate the missing information for the...Ch. 13.II - Calculate the missing information for the...Ch. 13.II - Prob. 35RECh. 13.II - Calculate the missing information for the...Ch. 13.II - Calculate the missing information for the...Ch. 13.II - Prob. 38RECh. 13.II - You are the loan department supervisor for the...Ch. 13.II - Prob. 40RECh. 13.II - You are the loan department supervisor for the...Ch. 13.II - You are the loan department supervisor for the...Ch. 13.II - You are the loan department supervisor for the...Ch. 13.II - Prob. 44RECh. 13.II - Prob. 45RECh. 13.II - 46. Meghan Pease purchased a small sailboat for...Ch. 13.II - Prob. 47RECh. 13.II - 48. Doug Black bought a jet ski with a 9% add-on...Ch. 13.II - Olivia Fast found a timeshare offer entitling her...Ch. 13.II - Tim Houston purchased a wall unit for $2,400. He...Ch. 13.II - First National Bank offers a 36-month installment...Ch. 13.II - At a recent boat show, Nautica Bank was offering...Ch. 13.II - Prob. 53RECh. 13.II - 54. a. What is the rebate fraction of a 36-month...Ch. 13.II - Charlie Allen financed a $3,500 Nautilus home gym...Ch. 13 - ____ credit is a loan arrangement in which there...Ch. 13 - The effective or true annual interest rate being...Ch. 13 - Loans that are backed by the borrowers promise to...Ch. 13 - 4. Loans made on a continuous basis and billed...Ch. 13 - 5. Name the two most common methods used to...Ch. 13 - Prob. 6CRCh. 13 - Prob. 7CRCh. 13 - Prob. 8CRCh. 13 - Prob. 9CRCh. 13 - Prob. 10CRCh. 13 - Prob. 11CRCh. 13 - Prob. 12CRCh. 13 - 13. The finance charge ________ is the unearned...Ch. 13 - Prob. 14CRCh. 13 - Prob. 1ATCh. 13 - Prob. 2ATCh. 13 - Prob. 3ATCh. 13 - 4. Calculate the average daily balance for January...Ch. 13 - Mel Arrandt has a Bank of America account with a...Ch. 13 - Alpine Construction, Inc. has a $100,000 line of...Ch. 13 - George Bell bought an ultralight airplane for...Ch. 13 - 8. David Sporn bought a saddle from Linville...Ch. 13 - 9. Buster Blaster Recording Studio purchased a new...Ch. 13 - Chris Manning purchased a $7,590 motorcycle with a...Ch. 13 - 11. SkyHigh Aircraft Sales uses the Executive...Ch. 13 - 12. After making 11 payments on a 36-month loan,...Ch. 13 - An Auntie Annes franchise financed a $68,000...Ch. 13 - 14. You are a salesperson for Mega Marine Boat...Ch. 13 - 15. Joe Keener found the accompanying ad for a...
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