
Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Textbook Question
Chapter 7.III, Problem 8TIE
The Rainbow Appliance Center purchased an order of dishwashers and ovens listing for $36,800. The manufacturer allows Rainbow a series of trade discounts of 25/15/10. What are the single equivalent discount and the amount of the trade discount?
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Question 3
over a field K.
In this question, MË(K) denotes the set of n × n matrices
(a) Suppose that A Є Mn(K) is an invertible matrix. Is it always true that A is
equivalent to A-¹? Justify your answer.
(b) Let B be given by
8
B = 0 7 7
0 -7 7
Working over the field F2 with 2 elements, compute the rank of B as an element
of M2(F2).
(c) Let
1
C
-1 1
[4]
[6]
and consider C as an element of M3(Q). Determine the minimal polynomial
mc(x) and hence, or otherwise, show that C can not be diagonalised.
[7]
(d) Show that C in (c) considered as an element of M3(R) can be diagonalised. Write
down all the eigenvalues. Show your working.
[8]
16. Solve the given differential equation:
y" + 4y sin (t)u(t 2π),
-
y(0) = 1, y'(0) = 0
Given,
1
(x² + 1)(x²+4)
1/3
-1/3
=
+
x²+1 x² +4
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R denotes the field of real numbers, Q denotes the field of rationals, and
Fp denotes the field of p elements given by integers modulo p. You may refer to general
results from lectures.
Question 1
For each non-negative integer m, let R[x]m denote the
vector space consisting of the polynomials in x with coefficients in R and of degree ≤ m.
x²+2, V3 = 5. Prove that (V1, V2, V3) is a linearly independent
(a) Let vi = x, V2 =
list in R[x] 3.
(b) Let V1, V2, V3 be as defined in (a). Find a vector v € R[×]3 such that (V1, V2, V3, V4)
is a basis of R[x] 3.
[8]
[6]
(c) Prove that the map ƒ from R[x] 2 to R[x]3 given by f(p(x)) = xp(x) — xp(0) is a
linear map.
[6]
(d) Write down the matrix for the map ƒ defined in (c) with respect to the basis
(2,2x + 1, x²) of R[x] 2 and the basis (1, x, x², x³) of R[x] 3.
[5]
Chapter 7 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 7.I - From the following FotoFair invoice, identify the...Ch. 7.I - Prob. 2TIECh. 7.I - What word is represented by each of the following...Ch. 7.I - Prob. 2RECh. 7.I - What word is represented by each of the following...Ch. 7.I - Prob. 4RECh. 7.I - Prob. 5RECh. 7.I - Prob. 6RECh. 7.I - Prob. 7RECh. 7.I - Prob. 8RE
Ch. 7.I - Using the Panorama Products invoice below, extend...Ch. 7.I - Prob. 10RECh. 7.I - Prob. 11RECh. 7.I - Using the Panorama Products invoice below, extend...Ch. 7.I - Prob. 13RECh. 7.I - Using the Panorama Products invoice below, extend...Ch. 7.I - Prob. 15RECh. 7.I - Prob. 16RECh. 7.I - Prob. 17RECh. 7.I - Prob. 18RECh. 7.I - Prob. 19RECh. 7.I - Prob. 20RECh. 7.I - Prob. 21RECh. 7.I - Prob. 22RECh. 7.II - Gifts Galore, a retail gift shop, buys merchandise...Ch. 7.II - Prob. 4TIECh. 7.II - Wilson Sporting Goods recently sold tennis rackets...Ch. 7.II - Calculate the following trade discounts. Round all...Ch. 7.II - Calculate the following trade discounts. Round all...Ch. 7.II - Prob. 3RECh. 7.II - Prob. 4RECh. 7.II - Calculate the following trade discounts. Round all...Ch. 7.II - 6. Calculate the following trade discounts and net...Ch. 7.II - Calculate the following trade discounts and net...Ch. 7.II - Calculate the following trade discounts and net...Ch. 7.II - Calculate the following trade discounts and net...Ch. 7.II - Calculate the following net price factors and net...Ch. 7.II - Calculate the following net price factors and net...Ch. 7.II - Prob. 12RECh. 7.II - Prob. 13RECh. 7.II - Calculate the following trade discounts and trade...Ch. 7.II - Calculate the following trade discounts and trade...Ch. 7.II - Calculate the following trade discounts and trade...Ch. 7.II - Calculate the following trade discounts and trade...Ch. 7.II - Calculate the following trade discounts and trade...Ch. 7.II - Prob. 19RECh. 7.II - Calculate the following trade discounts and trade...Ch. 7.II - Calculate the following trade discounts and trade...Ch. 7.II - Prob. 22RECh. 7.II - Calculate the following trade discounts and trade...Ch. 7.II - Calculate the following trade discounts and trade...Ch. 7.II - Calculate the following trade discounts and trade...Ch. 7.II - Calculate the following trade discounts and trade...Ch. 7.III - Northwest Publishers sold an order of books to The...Ch. 7.III - Prob. 7TIECh. 7.III - The Rainbow Appliance Center purchased an order of...Ch. 7.III - Prob. 1RECh. 7.III - Prob. 2RECh. 7.III - Prob. 3RECh. 7.III - Prob. 4RECh. 7.III - Prob. 5RECh. 7.III - Calculate the following net price factors and net...Ch. 7.III - Prob. 7RECh. 7.III - Prob. 8RECh. 7.III - Calculate the following net price factors and...Ch. 7.III - Calculate the following net price factors and...Ch. 7.III - Calculate the following net price factors and...Ch. 7.III - Prob. 12RECh. 7.III - Prob. 13RECh. 7.III - Prob. 14RECh. 7.III - Complete the following table. Round net price...Ch. 7.III - Prob. 16RECh. 7.III - Prob. 17RECh. 7.III - Prob. 18RECh. 7.III - Prob. 19RECh. 7.III - Prob. 20RECh. 7.III - Complete the following table. Round net price...Ch. 7.III - Complete the following table. Round net price...Ch. 7.III - Complete the following table. Round net price...Ch. 7.III - Prob. 24RECh. 7.III - Complete the following table. Round net price...Ch. 7.III - Complete the following table. Round net price...Ch. 7.III - Prob. 27RECh. 7.IV - Valiant Plumbing ordered sinks from a supplier....Ch. 7.IV - All Pro Sports Center purchases $45,300 in...Ch. 7.IV - Prob. 11TIECh. 7.IV - Prob. 12TIECh. 7.IV - Prob. 13TIECh. 7.IV - Prob. 14TIECh. 7.IV - Prob. 15TIECh. 7.IV - Calculate the cash discount and the net amount due...Ch. 7.IV - Calculate the cash discount and the net amount due...Ch. 7.IV - Prob. 3RECh. 7.IV - Prob. 4RECh. 7.IV - Prob. 5RECh. 7.IV - For the following transactions, calculate the...Ch. 7.IV - For the following transactions, calculate the...Ch. 7.IV - Prob. 8RECh. 7.IV - Prob. 9RECh. 7.IV - Using the ordinary dating method, calculate the...Ch. 7.IV - Using the ordinary dating method, calculate the...Ch. 7.IV - Prob. 12RECh. 7.IV - Using the ordinary dating method, calculate the...Ch. 7.IV - Using the ordinary dating method, calculate the...Ch. 7.IV - Using the EOM, ROG, and Extra dating methods,...Ch. 7.IV - Using the EOM, ROG, and Extra dating methods,...Ch. 7.IV - Using the EOM, ROG, and Extra dating methods,...Ch. 7.IV - Using the EOM, ROG, and Extra dating methods,...Ch. 7.IV - Using the EOM, ROG, and Extra dating methods,...Ch. 7.IV - Using the EOM, ROG, and Extra dating methods,...Ch. 7.IV - 21. The Apollo Company received an invoice from a...Ch. 7.IV - An invoice is dated August 21 with terms of 4/18...Ch. 7.IV - An invoice dated January 15 has terms of 3/20 ROG....Ch. 7.IV - Prob. 24RECh. 7.IV - 25. Red Tag Furniture received a SeaLand container...Ch. 7.IV - 26. City Cellular purchased $28,900 in cell phones...Ch. 7 - 1. The document detailing a sales transaction is...Ch. 7 - F.O.B. shipping point and F.O.B. destination are...Ch. 7 - 3. To extend an invoice, for each line, we...Ch. 7 - 4. To calculate the amount of a single trade...Ch. 7 - 5. The _____ price is the amount a business...Ch. 7 - 6. To calculate the net price factor, we subtract...Ch. 7 - Write the formula for the trade discount rate....Ch. 7 - In a chain or of trade discounts, we calculate the...Ch. 7 - 9. As a shortcut, we can use the net price _____...Ch. 7 - To calculate the net price factor, we subtract...Ch. 7 - A single trade discount that equates to all the...Ch. 7 - Prob. 12CRCh. 7 - To calculate the credit given for a partial...Ch. 7 - Prob. 14CRCh. 7 - Prob. 1ATCh. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...Ch. 7 - Answer the following questions based on the...
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