Contemporary Mathematics For Business & Consumers, Brief Edition, Loose-leaf Version
8th Edition
ISBN: 9781305867192
Author: Robert Brechner, Geroge Bergeman
Publisher: South-Western College Pub
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Chapter 20, Problem 28AT
To determine
To calculate: The accrued interest and total purchase price of the bond purchase of the company LandStar Inc. bond.
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1.2.19. Let and s be natural numbers. Let G be the simple graph with vertex set
Vo... V„−1 such that v; ↔ v; if and only if |ji| Є (r,s). Prove that S has exactly k
components, where k is the greatest common divisor of {n, r,s}.
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),
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y(0) = 1, y'(0) = 0
Given,
1
(x² + 1)(x²+4)
1/3
-1/3
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Chapter 20 Solutions
Contemporary Mathematics For Business & Consumers, Brief Edition, Loose-leaf Version
Ch. 20.I - Techron Industries, Inc., has 1,400,000 shares of...Ch. 20.I - Prob. 2TIECh. 20.I - Prob. 3TIECh. 20.I - Prob. 4TIECh. 20.I - Bentley Systems. Inc., paid a dividend of $0.68...Ch. 20.I - Prob. 6TIECh. 20.I - You purchase 225 shares of Gulfstream Industries...Ch. 20.I - Prob. 1RECh. 20.I - Prob. 2RECh. 20.I - Prob. 3RE
Ch. 20.I - Prob. 4RECh. 20.I - Prob. 5RECh. 20.I - Prob. 6RECh. 20.I - Prob. 7RECh. 20.I - Prob. 8RECh. 20.I - Prob. 9RECh. 20.I - Prob. 10RECh. 20.I - Prob. 11RECh. 20.I - Prob. 12RECh. 20.I - Prob. 13RECh. 20.I - Prob. 14RECh. 20.I - Prob. 15RECh. 20.I - Prob. 16RECh. 20.I - Prob. 17RECh. 20.I - Prob. 18RECh. 20.I - Prob. 19RECh. 20.I - Calculate the total cost, proceeds, and gain (or...Ch. 20.I - Prob. 21RECh. 20.I - Prob. 22RECh. 20.I - Prob. 23RECh. 20.I - Prob. 24RECh. 20.I - Prob. 25RECh. 20.I - Prob. 26RECh. 20.I - 27. Apex Developers. Inc., has 1,800,000 shares of...Ch. 20.I - Prob. 28RECh. 20.I - 29. You purchase 650 shares of Sunrise Electric...Ch. 20.I - Though investing all at once works best when stock...Ch. 20.II - Using Exhibit 20-5. Corporate Bond Quotation...Ch. 20.II - Prob. 9TIECh. 20.II - Prob. 10TIECh. 20.II - Prob. 11TIECh. 20.II - Prob. 1RECh. 20.II - Prob. 2RECh. 20.II - Prob. 3RECh. 20.II - Prob. 4RECh. 20.II - Prob. 5RECh. 20.II - Prob. 6RECh. 20.II - Prob. 7RECh. 20.II - Prob. 8RECh. 20.II - Prob. 9RECh. 20.II - Prob. 10RECh. 20.II - Calculate the accrued interest and the total...Ch. 20.II - Calculate the accrued interest and the total...Ch. 20.II - Prob. 13RECh. 20.II - Prob. 14RECh. 20.II - Prob. 15RECh. 20.II - Prob. 16RECh. 20.II - Prob. 17RECh. 20.II - Prob. 18RECh. 20.II - Prob. 19RECh. 20.II - Prob. 20RECh. 20.II - Prob. 21RECh. 20.II - Prob. 22RECh. 20.II - Prob. 23RECh. 20.II - Prob. 24RECh. 20.II - Prob. 25RECh. 20.III - Using Exhibit 20-6, Mutual Fund Quotation Table,...Ch. 20.III - Prob. 13TIECh. 20.III - Prob. 14TIECh. 20.III - Prob. 15TIECh. 20.III - Prob. 16TIECh. 20.III - Prob. 1RECh. 20.III - Prob. 2RECh. 20.III - Prob. 3RECh. 20.III - Prob. 4RECh. 20.III - Prob. 5RECh. 20.III - Prob. 6RECh. 20.III - Prob. 7RECh. 20.III - Prob. 8RECh. 20.III - Prob. 9RECh. 20.III - Prob. 10RECh. 20.III - Prob. 11RECh. 20.III - Prob. 12RECh. 20.III - Prob. 13RECh. 20.III - Prob. 14RECh. 20.III - Prob. 15RECh. 20.III - Prob. 16RECh. 20.III - Prob. 17RECh. 20.III - Prob. 18RECh. 20.III - Prob. 19RECh. 20.III - Prob. 20RECh. 20.III - Prob. 21RECh. 20.III - Prob. 22RECh. 20.III - Calculate the total cost, proceeds, total gain (or...Ch. 20.III - Prob. 24RECh. 20.III - Prob. 25RECh. 20.III - Prob. 26RECh. 20.III - Prob. 27RECh. 20.III - Prob. 28RECh. 20.III - Prob. 29RECh. 20.III - BUSINESS DECISION: CAPITAL GAINS
30. There are...Ch. 20 - Prob. 1CRCh. 20 - Prob. 2CRCh. 20 - Prob. 3CRCh. 20 - Prob. 4CRCh. 20 - Prob. 5CRCh. 20 - Prob. 6CRCh. 20 - Prob. 7CRCh. 20 - A _____ is a loan, or an IOU, in the form of an...Ch. 20 - Prob. 9CRCh. 20 - 10. Write the formula used to calculate the...Ch. 20 - Prob. 11CRCh. 20 - Prob. 12CRCh. 20 - Prob. 13CRCh. 20 - Prob. 14CRCh. 20 - Prob. 1ATCh. 20 - Prob. 2ATCh. 20 - Prob. 3ATCh. 20 - Prob. 4ATCh. 20 - Prob. 5ATCh. 20 - Prob. 6ATCh. 20 - Prob. 7ATCh. 20 - Prob. 8ATCh. 20 - Prob. 9ATCh. 20 - Prob. 10ATCh. 20 - Prob. 11ATCh. 20 - Prob. 12ATCh. 20 - Calculate the total cost, proceeds and gain (or...Ch. 20 - Prob. 14ATCh. 20 - Prob. 15ATCh. 20 - 16. The board of directors of Micro-Fine...Ch. 20 - Prob. 17ATCh. 20 - Prob. 18ATCh. 20 - 19. You purchase 350 shares of Universal Metals...Ch. 20 - Prob. 20ATCh. 20 - Prob. 21ATCh. 20 - Prob. 22ATCh. 20 - Prob. 23ATCh. 20 - Prob. 24ATCh. 20 - Prob. 25ATCh. 20 - Calculate the accrued interest and the total...Ch. 20 - Prob. 27ATCh. 20 - Prob. 28ATCh. 20 - Prob. 29ATCh. 20 - Prob. 30ATCh. 20 - Prob. 31ATCh. 20 - Prob. 32ATCh. 20 - Prob. 33ATCh. 20 - 34. On May 1. Emerson Fast bought 10 Manitoba...Ch. 20 - Prob. 35ATCh. 20 - Prob. 36ATCh. 20 - Prob. 37ATCh. 20 - Prob. 38ATCh. 20 - Prob. 39ATCh. 20 - Prob. 40ATCh. 20 - Prob. 41ATCh. 20 - Prob. 42ATCh. 20 - Prob. 43ATCh. 20 - Prob. 44ATCh. 20 - Prob. 45ATCh. 20 - Prob. 46ATCh. 20 - Prob. 47ATCh. 20 - Prob. 48ATCh. 20 - Prob. 49AT
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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]arrow_forwardQuestion 4 (a) The following matrices represent linear maps on R² with respect to an orthonormal basis: = [1/√5 2/√5 [2/√5 -1/√5] " [1/√5 2/√5] A = B = [2/√5 1/√5] 1 C = D = = = [ 1/3/5 2/35] 1/√5 2/√5 -2/√5 1/√5' For each of the matrices A, B, C, D, state whether it represents a self-adjoint linear map, an orthogonal linear map, both, or neither. (b) For the quadratic form q(x, y, z) = y² + 2xy +2yz over R, write down a linear change of variables to u, v, w such that q in these terms is in canonical form for Sylvester's Law of Inertia. [6] [4]arrow_forwardpart b pleasearrow_forward
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- Best explains it not need guidelines okkarrow_forwardTask number: A1.1, A1.7 Topic: Celestial Navigation, Compass - Magnetic and Gyro Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic compass. Minimum number of times that activity should be recorded: 6 (2 each phase) Sample calculation (Azimuth- Planets): On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing 327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation. GHA Mars (06d 22h): Increment (20m 10s): 089° 55.7' 005° 02.5' v (0.9): (+) 00.3' GHA Mars: 094° 58.5' Longitude (E): (+) 050° 00.0' (plus- since longitude is easterly) LHA Mars: 144° 58.5' Declination (06d 22h): d (0.2): N 024° 18.6' (-) 00.1' Declination Mars: N 024° 18.5' P=144° 58.5' (If LHA<180°, P=LHA) A Tan Latitude/ Tan P A Tan 48° 00' Tan 144° 58.5' A = 1.584646985 N (A is named opposite to latitude, except when…arrow_forwardTask number: A1.1, A1.7 Topic: Celestial Navigation, Compass - Magnetic and Gyro Activ Determine compass error (magnetic and gyro) using azimuth choosing a suitable celestial body (Sun/ Stars/ Planets/ Moon). Apply variation to find the deviation of the magnetic compass. Minimum number of times that activity should be recorded: 6 (2 each phase) Sample calculation (Azimuth- Planets): On 06th May 2006 at 22h20m 10s UTC, a vessel in position 48°00'N 050°00'E observed Mars bearing 327° by compass. Find the compass error. If variation was 4.0° East, calculate the deviation. GHA Mars (06d 22h): Increment (20m 10s): 089° 55.7' 005° 02.5' v (0.9): (+) 00.3' GHA Mars: 094° 58.5' Longitude (E): (+) 050° 00.0' (plus- since longitude is easterly) LHA Mars: 144° 58.5' Declination (06d 22h): d (0.2): N 024° 18.6' (-) 00.1' Declination Mars: N 024° 18.5' P=144° 58.5' (If LHA<180°, P=LHA) A Tan Latitude/ Tan P A Tan 48° 00' Tan 144° 58.5' A = 1.584646985 N (A is named opposite to latitude, except when…arrow_forward
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