 92.1: selling Find the rate of markup based on the selling price. Cost = ...
 92.2: Markup markup rate of 60%based on the selling price. a. Find the se...
 92.3: Selling Find the rate of markup based on the selling price. price =...
 92.4: markup rate is 42% of the selling price. a. Find the selling price....
 92.5: Markup rate based on selling markup = $250. Find the selling price....
 92.6: Find the selling price for an item that costs $792 and is marked up...
 92.7: An item is marked up $12. The markup rate based on selling price is...
 92.8: Selling price $1.98; markup is 48% of the selling price. a. What is...
 92.9: An item sells for $5,980 and costs $3,420. What is the rate of mark...
 92.10: The selling price of an item is $18.50 and the markup rate is 86% o...
 92.11: An item has a 30% markup based on selling price. The markup is $100...
 92.12: An item costs $20 and sells for $50. a. Find the rate of markup bas...
 92.13: An item has a 60% markup based on selling price. What is the equiva...
 92.14: A 40% markup based on cost is equivalent to what percent based on s...
 92.15: An air compressor costs $350 and sells for $695. Find the rate of m...
 92.16: A lateral file is marked up $140, which represents a 28% markup bas...
 92.17: A lawn tractor that costs the retailer $599 is marked up 36% of the...
 92.18: A recliner chair that sells for $1,499 is marked up 60% of the sell...
 92.19: Lowes plans to sell its bestquality floor tiles for $15 each. This...
 92.20: A serving tray costs $1,400 and sells for $2,015. a. Find the rate ...
 92.21: What is the equivalent markup based on cost of a water fountain tha...
 92.22: A box of Acco paper clips is marked up 46% based on cost. What is t...
Solutions for Chapter 92: MARKUP BASED ON SELLING PRICE AND MARKUP COMPARISONS
Full solutions for Business Math,  9th Edition
ISBN: 9780135108178
Solutions for Chapter 92: MARKUP BASED ON SELLING PRICE AND MARKUP COMPARISONS
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Business Math, , edition: 9. Chapter 92: MARKUP BASED ON SELLING PRICE AND MARKUP COMPARISONS includes 22 full stepbystep solutions. Since 22 problems in chapter 92: MARKUP BASED ON SELLING PRICE AND MARKUP COMPARISONS have been answered, more than 18233 students have viewed full stepbystep solutions from this chapter. Business Math, was written by and is associated to the ISBN: 9780135108178.

CayleyHamilton Theorem.
peA) = det(A  AI) has peA) = zero matrix.

Commuting matrices AB = BA.
If diagonalizable, they share n eigenvectors.

Complex conjugate
z = a  ib for any complex number z = a + ib. Then zz = Iz12.

Diagonalization
A = S1 AS. A = eigenvalue matrix and S = eigenvector matrix of A. A must have n independent eigenvectors to make S invertible. All Ak = SA k SI.

Echelon matrix U.
The first nonzero entry (the pivot) in each row comes in a later column than the pivot in the previous row. All zero rows come last.

Exponential eAt = I + At + (At)2 12! + ...
has derivative AeAt; eAt u(O) solves u' = Au.

GaussJordan method.
Invert A by row operations on [A I] to reach [I AI].

Hermitian matrix A H = AT = A.
Complex analog a j i = aU of a symmetric matrix.

Incidence matrix of a directed graph.
The m by n edgenode incidence matrix has a row for each edge (node i to node j), with entries 1 and 1 in columns i and j .

Independent vectors VI, .. " vk.
No combination cl VI + ... + qVk = zero vector unless all ci = O. If the v's are the columns of A, the only solution to Ax = 0 is x = o.

Kronecker product (tensor product) A ® B.
Blocks aij B, eigenvalues Ap(A)Aq(B).

lAII = l/lAI and IATI = IAI.
The big formula for det(A) has a sum of n! terms, the cofactor formula uses determinants of size n  1, volume of box = I det( A) I.

Least squares solution X.
The vector x that minimizes the error lie 112 solves AT Ax = ATb. Then e = b  Ax is orthogonal to all columns of A.

Left nullspace N (AT).
Nullspace of AT = "left nullspace" of A because y T A = OT.

Minimal polynomial of A.
The lowest degree polynomial with meA) = zero matrix. This is peA) = det(A  AI) if no eigenvalues are repeated; always meA) divides peA).

Normal matrix.
If N NT = NT N, then N has orthonormal (complex) eigenvectors.

Outer product uv T
= column times row = rank one matrix.

Pivot.
The diagonal entry (first nonzero) at the time when a row is used in elimination.

Triangle inequality II u + v II < II u II + II v II.
For matrix norms II A + B II < II A II + II B II·

Volume of box.
The rows (or the columns) of A generate a box with volume I det(A) I.