Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
8th Edition
ISBN: 9781337125468
Author: Brechner
Publisher: Cengage
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Chapter 11.II, Problem 6TIE
To determine
To calculate: The amount Count Gustav must invest now at
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1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix
A.
= [{² 1]
A =
b) Verify that PT AP gives the correct diagonal form.
2
01
-2
3
2) Given the following matrices A =
-1
0
1] an
and B =
0
1
-3
2
find the following matrices:
a) (AB) b) (BA)T
3) Find the inverse of the following matrix A using Gauss-Jordan elimination or
adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I).
[1 1 1
A = 3 5 4
L3 6 5
4) Solve the following system of linear equations using any one of Cramer's Rule,
Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and
check the correctness of your answer.
4x-y-z=1
2x + 2y + 3z = 10
5x-2y-2z = -1
5) a) Describe the zero vector and the additive inverse of a vector in the vector
space, M3,3.
b) Determine if the following set S is a subspace of M3,3 with the standard
operations. Show all appropriate supporting work.
13) Let U = {j, k, l, m, n, o, p} be the universal set. Let V = {m, o,p), W = {l,o, k}, and X = {j,k). List the elements of
the following sets and the cardinal number of each set.
a) W° and n(W)
b) (VUW) and n((V U W)')
c) VUWUX and n(V U W UX)
d) vnWnX and n(V WnX)
9) Use the Venn Diagram given below to determine the number elements in each of the following sets.
a) n(A).
b) n(A° UBC).
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Chapter 11 Solutions
Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
Ch. 11.I - Gail Parker invested $10,000 at 6% interest...Ch. 11.I - Jenny Chao invested $20,000 at 6% interest...Ch. 11.I - Prob. 3TIECh. 11.I - Jill Quinn invested $7,000 in a certificate of...Ch. 11.I - Prob. 5TIECh. 11.I - Prob. 1RECh. 11.I - For the following investments, find the total...Ch. 11.I - For the following investments, find the total...Ch. 11.I - Prob. 4RECh. 11.I - Prob. 5RE
Ch. 11.I - Prob. 6RECh. 11.I - For the following investments, find the total...Ch. 11.I - Prob. 8RECh. 11.I - Prob. 9RECh. 11.I - Manually calculate the compound amount and...Ch. 11.I - Prob. 11RECh. 11.I - Prob. 12RECh. 11.I - Prob. 13RECh. 11.I - Prob. 14RECh. 11.I - Prob. 15RECh. 11.I - Prob. 16RECh. 11.I - Using Table 11-1, calculate the compound amount...Ch. 11.I - Prob. 18RECh. 11.I - Prob. 19RECh. 11.I - The following investments require table factors...Ch. 11.I - Prob. 21RECh. 11.I - Prob. 22RECh. 11.I - Prob. 23RECh. 11.I - Prob. 24RECh. 11.I - Prob. 25RECh. 11.I - For the following investments, compute the amount...Ch. 11.I - For the following investments, compute the amount...Ch. 11.I - Prob. 28RECh. 11.I - Solve the following word problems by using Table...Ch. 11.I - Prob. 30RECh. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Prob. 35RECh. 11.I - Solve the following exercises and word problems by...Ch. 11.I - Prob. 37RECh. 11.I - Prob. 38RECh. 11.I - 39. Gabriel Hopen, a 32-year-old commercial...Ch. 11.I - 40. The FernRod Motorcycle Company invested...Ch. 11.II - Prob. 6TIECh. 11.II - Calculate a new table factor and find the present...Ch. 11.II - Prob. 8TIECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 2RECh. 11.II - Prob. 3RECh. 11.II - Prob. 4RECh. 11.II - Prob. 5RECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 7RECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 9RECh. 11.II - Prob. 10RECh. 11.II - Prob. 11RECh. 11.II - The following investments require table factors...Ch. 11.II - The following investments require table factors...Ch. 11.II - Prob. 14RECh. 11.II - The following investments require table factors...Ch. 11.II - Prob. 16RECh. 11.II - Prob. 17RECh. 11.II - Solve the following word problems by using table...Ch. 11.II - Prob. 19RECh. 11.II - Solve the following word problems by using Table...Ch. 11.II - Prob. 21RECh. 11.II - Solve the following word problems by using table...Ch. 11.II - Prob. 23RECh. 11.II - Prob. 24RECh. 11.II - Solve the following exercises and word problems by...Ch. 11.II - Prob. 26RECh. 11.II - 27. Alana and Eva Rodriguez are planning a...Ch. 11.II - 28. Mike Gioulis would like to have $25,000 in 4...Ch. 11.II - You are the finance manager for Olympia...Ch. 11 - 1. Interest calculated solely on the principal is...Ch. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - A shortcut method for calculating approximately...Ch. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - 14. To use the compound interest formula and the...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Prob. 4ATCh. 11 - Prob. 5ATCh. 11 - The following investments require table factors...Ch. 11 - Prob. 7ATCh. 11 - For the following investments, compute the amount...Ch. 11 - Prob. 9ATCh. 11 - Prob. 10ATCh. 11 - Calculate the present value (principal) and the...Ch. 11 - Prob. 12ATCh. 11 - Prob. 13ATCh. 11 - Prob. 14ATCh. 11 - Prob. 15ATCh. 11 - Prob. 16ATCh. 11 - Prob. 17ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 19ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 22ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 25ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 28ATCh. 11 - Prob. 29ATCh. 11 - Prob. 30ATCh. 11 - Prob. 31ATCh. 11 - Prob. 32ATCh. 11 - Prob. 33ATCh. 11 - Prob. 34ATCh. 11 - Prob. 35ATCh. 11 - Prob. 36ATCh. 11 - Prob. 37ATCh. 11 - Quinn and Julius inherited $50,000 each from their...Ch. 11 - 39. Greg and Verena Sava need $20,000 in 3 years...
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- 10) Find n(K) given that n(T) = 7,n(KT) = 5,n(KUT) = 13.arrow_forward7) Use the Venn Diagram below to determine the sets A, B, and U. A = B = U = Blue Orange white Yellow Black Pink Purple green Grey brown Uarrow_forward8. For x>_1, the continuous function g is decreasing and positive. A portion of the graph of g is shown above. For n>_1, the nth term of the series summation from n=1 to infinity a_n is defined by a_n=g(n). If intergral 1 to infinity g(x)dx converges to 8, which of the following could be true? A) summation n=1 to infinity a_n = 6. B) summation n=1 to infinity a_n =8. C) summation n=1 to infinity a_n = 10. D) summation n=1 to infinity a_n diverges.arrow_forward
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