Practical Business Math Procedures with Business Math Handbook
12th Edition
ISBN: 9781259725067
Author: Jeffrey Slater, Sharon M. Wittry
Publisher: McGraw-Hill Education
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Chapter 3, Problem 12PT
To determine
To add: The numbers 11.862,284.0382,88.44 by rearranging them.
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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
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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.
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Chapter 3 Solutions
Practical Business Math Procedures with Business Math Handbook
Ch. 3.1 - Write the following as a decimal number.
Four...Ch. 3.1 - Prob. 2PQCh. 3.1 - Prob. 3PQCh. 3.1 - Prob. 4PQCh. 3.1 - Prob. 5PQCh. 3.1 - Prob. 6PQCh. 3.1 - Convert the following to decimals:
Ch. 3.1 - Prob. 8PQCh. 3.1 - Prob. 9PQCh. 3.1 - Convert the following to decimal fractions (do not...
Ch. 3.1 - Prob. 11PQCh. 3.1 - Prob. 12PQCh. 3.1 - Prob. 13PQCh. 3.1 - Prob. 1EPQCh. 3.1 - Prob. 2EPQCh. 3.1 - Prob. 3EPQCh. 3.1 - Prob. 4EPQCh. 3.1 - Prob. 5EPQCh. 3.1 - Prob. 6EPQCh. 3.1 - Prob. 7EPQCh. 3.1 - Prob. 8EPQCh. 3.1 - Prob. 9EPQCh. 3.1 - Prob. 10EPQCh. 3.1 - Prob. 11EPQCh. 3.1 - Prob. 12EPQCh. 3.1 - Prob. 13EPQCh. 3.1 - Prob. 1AHCh. 3.1 - Prob. 2AHCh. 3.1 - Prob. 3AHCh. 3.1 - Prob. 4AHCh. 3.1 - Prob. 5AHCh. 3.1 - Prob. 6AHCh. 3.1 - Prob. 7AHCh. 3.1 - Bill Breen earned $1,555, and his employer...Ch. 3.1 - At the local college, .566 of the students are...Ch. 3.1 - Prob. 10AHCh. 3.1 - Prob. 11AHCh. 3.1 - Prob. 12AHCh. 3.1 - Michael Sullivan was planning his marketing...Ch. 3.1 - Prob. 14AHCh. 3.2 - Rearrange vertically and add:
14, .642, 9.34,...Ch. 3.2 - Prob. 2PQCh. 3.2 - Prob. 3PQCh. 3.2 - Prob. 4PQCh. 3.2 - Prob. 5PQCh. 3.2 - Complete by the shortcut method:
9,680÷1,000
Ch. 3.2 - Prob. 7PQCh. 3.2 - Prob. 8PQCh. 3.2 - Prob. 9PQCh. 3.2 - Prob. 10PQCh. 3.2 - Prob. 1EPQCh. 3.2 - Prob. 2EPQCh. 3.2 - Prob. 3EPQCh. 3.2 - Divide and round to the nearest hundredth:
3,824 ÷...Ch. 3.2 - Prob. 5EPQCh. 3.2 - Prob. 6EPQCh. 3.2 - Prob. 7EPQCh. 3.2 - Prob. 8EPQCh. 3.2 - Prob. 9EPQCh. 3.2 - Round to the nearest cent as needed:
A trip to...Ch. 3.2 - Prob. 1AHCh. 3.2 - Prob. 2AHCh. 3.2 - Prob. 3AHCh. 3.2 - Prob. 4AHCh. 3.2 - Prob. 5AHCh. 3.2 - Prob. 6AHCh. 3.2 - Jeanne Allyn purchased 12.25 yards of ribbon for a...Ch. 3.2 - Prob. 8AHCh. 3.2 - Prob. 9AHCh. 3.2 - Prob. 10AHCh. 3.2 - Prob. 11AHCh. 3 - Prob. 1ECPCh. 3 - Identify the place value for the following:
Ch. 3 - Prob. 3ECPCh. 3 - Prob. 4ECPCh. 3 - Prob. 5ECPCh. 3 - Prob. 6ECPCh. 3 - Prob. 7ECPCh. 3 - Round the following as indicated: LU...Ch. 3 - Prob. 9ECPCh. 3 - Prob. 10ECPCh. 3 - Convert the following types of decimal fractions...Ch. 3 - Convert the following types of decimal fractions...Ch. 3 - Convert the following types of decimal fractions...Ch. 3 - Convert the following types of decimal fractions...Ch. 3 - Prob. 15ECPCh. 3 - Prob. 16ECPCh. 3 - Prob. 17ECPCh. 3 - Prob. 18ECPCh. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following decimals to fractions. Do...Ch. 3 - Convert the following to mixed numbers. Do not...Ch. 3 - Convert the following to mixed numbers. Do not...Ch. 3 - Prob. 28ECPCh. 3 - Prob. 29ECPCh. 3 - Prob. 30ECPCh. 3 - Write the decimal equivalent of the following: LU...Ch. 3 - Prob. 32ECPCh. 3 - Rearrange the following and add: LU 3-2(1)
115,...Ch. 3 - Prob. 34ECPCh. 3 - Prob. 35ECPCh. 3 - Prob. 36ECPCh. 3 - Prob. 37ECPCh. 3 - Prob. 38ECPCh. 3 - Prob. 39ECPCh. 3 - Prob. 40ECPCh. 3 - Prob. 41ECPCh. 3 - Prob. 42ECPCh. 3 - Prob. 43ECPCh. 3 - Prob. 44ECPCh. 3 - Prob. 45ECPCh. 3 - Prob. 46ECPCh. 3 - Divide the following and round to the nearest...Ch. 3 - Prob. 48ECPCh. 3 - Prob. 49ECPCh. 3 - Prob. 50ECPCh. 3 - Prob. 51ECPCh. 3 - Prob. 52ECPCh. 3 - Prob. 53ECPCh. 3 - Complete these multiplications and divisions by...Ch. 3 - Prob. 55ECPCh. 3 - Prob. 56ECPCh. 3 - Prob. 57ECPCh. 3 - Prob. 58ECPCh. 3 - Prob. 59ECPCh. 3 - Prob. 60ECPCh. 3 - Prob. 61ECPCh. 3 - Prob. 62ECPCh. 3 - WORD PROBLEMS
As needed, round answers to the...Ch. 3 - Prob. 64ECPCh. 3 - Prob. 65ECPCh. 3 - Prob. 66ECPCh. 3 - As needed, round answers to the nearest cent.
The...Ch. 3 - Prob. 68ECPCh. 3 - As needed, round answers to the nearest cent.
Mark...Ch. 3 - Prob. 70ECPCh. 3 - As needed, round answers to the nearest cent.
Bob...Ch. 3 - Prob. 72ECPCh. 3 - Prob. 73ECPCh. 3 - Prob. 74ECPCh. 3 - As needed, round answers to the nearest cent.
Paul...Ch. 3 - Prob. 76ECPCh. 3 - Prob. 77ECPCh. 3 - Prob. 78ECPCh. 3 - Prob. 79ECPCh. 3 - Prob. 80ECPCh. 3 - Prob. 81ECPCh. 3 - Prob. 82ECPCh. 3 - Prob. 83ECPCh. 3 - Prob. 84ECPCh. 3 - Prob. 85ECPCh. 3 - Prob. 86ECPCh. 3 - Jill and Frank decided to take a long weekend in...Ch. 3 - Prob. 1PTCh. 3 - Prob. 2PTCh. 3 - Prob. 3PTCh. 3 - Prob. 4PTCh. 3 - Prob. 5PTCh. 3 - Prob. 6PTCh. 3 - Prob. 7PTCh. 3 - Prob. 8PTCh. 3 - Prob. 9PTCh. 3 - Prob. 10PTCh. 3 - Convert the following fractions to decimals (or...Ch. 3 - Rearrange the following decimals and add.
5.93,...Ch. 3 - Prob. 13PTCh. 3 - Prob. 14PTCh. 3 - Prob. 15PTCh. 3 - Prob. 16PTCh. 3 - Prob. 17PTCh. 3 - Prob. 18PTCh. 3 - Prob. 19PTCh. 3 - Prob. 20PTCh. 3 - Prob. 21PTCh. 3 - Prob. 22PTCh. 3 - Prob. 23PTCh. 3 - Prob. 1CRCh. 3 - Prob. 2CRCh. 3 - Prob. 3CRCh. 3 - Prob. 4CRCh. 3 - Prob. 5CRCh. 3 - Prob. 6CRCh. 3 - Prob. 7CRCh. 3 - Prob. 8CRCh. 3 - Prob. 9CR
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