 11.4.11.1.184: A loan on which you pay a fixed amount of money for a set number of...
 11.4.11.1.185: A loan on which you make variable payments each month is called a(n...
 11.4.11.1.186: The true rate of interest charged for a loan is called the percenta...
 11.4.11.1.187: The total amount of money the borrower must pay for borrowing the m...
 11.4.11.1.188: The sum of all the monthly payments and the down payment, if any, i...
 11.4.11.1.189: The period between when a purchase is made and when the credit card...
 11.4.11.1.190: In Exercises 710, determine the monthly payment for the installment...
 11.4.11.1.191: In Exercises 710, determine the monthly payment for the installment...
 11.4.11.1.192: In Exercises 710, determine the monthly payment for the installment...
 11.4.11.1.193: In Exercises 710, determine the monthly payment for the installment...
 11.4.11.1.194: A New Business Landon Wallin is an auto mechanic who wishes to star...
 11.4.11.1.195: A New Air Conditioner Juan Avalos paid $7000 for a new central air...
 11.4.11.1.196: Financing a New Roof Jaime Capobianco needs a new roof on her house...
 11.4.11.1.197: Financing a Computer Ilga Ross purchased a new computer on a monthl...
 11.4.11.1.198: Financing a New Boat Marnie Greenhut wishes to buy a new speed boat...
 11.4.11.1.199: Financing Furniture Mr. and Mrs. Chan want to buy furniture that ha...
 11.4.11.1.200: Early Repayment of a Loan Ray Flagg took out a 60month fixed insta...
 11.4.11.1.201: Early Repayment of a Loan Jeslie Ann Hernandez has a 48month insta...
 11.4.11.1.202: Early Repayment of a Loan Nina Abu buys a new sport utility vehicle...
 11.4.11.1.203: Early Repayment of a Loan The cash price for a new washer and dryer...
 11.4.11.1.204: Credit Card Minimum Monthly Payment Shiing Shen Cherns credit card ...
 11.4.11.1.205: Credit Card Minimum Monthly Payment Evelyn Boyd Granvilles credit c...
 11.4.11.1.206: Business Expenses Kevin Devlins credit card company determines his ...
 11.4.11.1.207: Vacation Expenses Harry Waldmans credit card company determines his...
 11.4.11.1.208: Previous Balance Method On the April 5 billing date, Michaelle Chap...
 11.4.11.1.209: Previous Balance Method On September 5, the billing date, Verna Bro...
 11.4.11.1.210: Previous Balance Method On February 3, the billing date, Carol Ann ...
 11.4.11.1.211: Previous Balance Method On April 15, the billing date, Gabrielle Mi...
 11.4.11.1.212: Average Daily Balance Method The balance on the Razazadas credit ca...
 11.4.11.1.213: Average Daily Balance Method The Levys credit card statement shows ...
 11.4.11.1.214: Average Daily Balance Method Refer to Exercise 27. Instead of the p...
 11.4.11.1.215: Average Daily Balance Method Refer to Exercise 26. Instead of the p...
 11.4.11.1.216: A Cash Advance John Richards borrowed $875 against his charge accou...
 11.4.11.1.217: A Cash Advance Travis Thompson uses his credit card to obtain a cas...
 11.4.11.1.218: Comparing Loan Sources Grisha Stewart needs to borrow $1000 for an ...
 11.4.11.1.219: Comparing Loan Options Sara Lin wants to purchase a new television ...
 11.4.11.1.220: Determining Purchase Price Ken Tucker bought a new car, but now he ...
 11.4.11.1.221: Comparing Loans Suppose the Chans in Exercise 16 use a credit card ...
 11.4.11.1.222: Rule of 78s When an installment loan is repaid early, there is a se...
 11.4.11.1.223: Repayment Comparisons Christine Biko took a world cruise that had a...
 11.4.11.1.224: Paying Off Your Credit Card Debt Suppose you purchase a new wardrob...
 11.4.11.1.225: Write a brief report giving the advantages and disadvantages of lea...
 11.4.11.1.226: Assume that you are married and have a child. You dont own a washer...
Solutions for Chapter 11.4: Consumer Mathematics
Full solutions for A Survey of Mathematics with Applications  9th Edition
ISBN: 9780321759665
Solutions for Chapter 11.4: Consumer Mathematics
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: A Survey of Mathematics with Applications, edition: 9. A Survey of Mathematics with Applications was written by and is associated to the ISBN: 9780321759665. Chapter 11.4: Consumer Mathematics includes 43 full stepbystep solutions. Since 43 problems in chapter 11.4: Consumer Mathematics have been answered, more than 70460 students have viewed full stepbystep solutions from this chapter.

Big formula for n by n determinants.
Det(A) is a sum of n! terms. For each term: Multiply one entry from each row and column of A: rows in order 1, ... , nand column order given by a permutation P. Each of the n! P 's has a + or  sign.

Block matrix.
A matrix can be partitioned into matrix blocks, by cuts between rows and/or between columns. Block multiplication ofAB is allowed if the block shapes permit.

Free variable Xi.
Column i has no pivot in elimination. We can give the n  r free variables any values, then Ax = b determines the r pivot variables (if solvable!).

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

Hankel matrix H.
Constant along each antidiagonal; hij depends on i + j.

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.

Krylov subspace Kj(A, b).
The subspace spanned by b, Ab, ... , AjIb. Numerical methods approximate A I b by x j with residual b  Ax j in this subspace. A good basis for K j requires only multiplication by A at each step.

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.

Nilpotent matrix N.
Some power of N is the zero matrix, N k = o. The only eigenvalue is A = 0 (repeated n times). Examples: triangular matrices with zero diagonal.

Normal equation AT Ax = ATb.
Gives the least squares solution to Ax = b if A has full rank n (independent columns). The equation says that (columns of A)ยท(b  Ax) = o.

Partial pivoting.
In each column, choose the largest available pivot to control roundoff; all multipliers have leij I < 1. See condition number.

Permutation matrix P.
There are n! orders of 1, ... , n. The n! P 's have the rows of I in those orders. P A puts the rows of A in the same order. P is even or odd (det P = 1 or 1) based on the number of row exchanges to reach I.

Solvable system Ax = b.
The right side b is in the column space of A.

Spectrum of A = the set of eigenvalues {A I, ... , An}.
Spectral radius = max of IAi I.

Stiffness matrix
If x gives the movements of the nodes, K x gives the internal forces. K = ATe A where C has spring constants from Hooke's Law and Ax = stretching.

Sum V + W of subs paces.
Space of all (v in V) + (w in W). Direct sum: V n W = to}.

Symmetric factorizations A = LDLT and A = QAQT.
Signs in A = signs in D.

Toeplitz matrix.
Constant down each diagonal = timeinvariant (shiftinvariant) filter.

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