Contemporary Mathematics for Business and Consumers
7th Edition
ISBN: 9781285189758
Author: Robert Brechner, George Bergeman
Publisher: Cengage Learning
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Textbook Question
Chapter 13, Problem 5CR
Name the two most common methods used to calculate the finance charge of a revolving credit account. (13-1, 13-2)
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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]
Question 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]
part b please
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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