 11.3.11.1.133: An investment is the use of money or capital for income or .
 11.3.11.1.134: In a fixed investment the interest is computed at a fixed rate and ...
 11.3.11.1.135: If neither the principal nor the interest is guaranteed, the invest...
 11.3.11.1.136: Interest that is computed on the principal and any accumulated inte...
 11.3.11.1.137: The effective annual yield or the annual percentage yield is the si...
 11.3.11.1.138: The principal that you would have to invest now to have a certain a...
 11.3.11.1.139: Exercises 714, use the compound interest formula to compute the tot...
 11.3.11.1.140: Exercises 714, use the compound interest formula to compute the tot...
 11.3.11.1.141: Exercises 714, use the compound interest formula to compute the tot...
 11.3.11.1.142: Exercises 714, use the compound interest formula to compute the tot...
 11.3.11.1.143: Exercises 714, use the compound interest formula to compute the tot...
 11.3.11.1.144: Exercises 714, use the compound interest formula to compute the tot...
 11.3.11.1.145: Exercises 714, use the compound interest formula to compute the tot...
 11.3.11.1.146: Exercises 714, use the compound interest formula to compute the tot...
 11.3.11.1.147: In Exercises 1518, use the present value formula to determine the a...
 11.3.11.1.148: In Exercises 1518, use the present value formula to determine the a...
 11.3.11.1.149: In Exercises 1518, use the present value formula to determine the a...
 11.3.11.1.150: In Exercises 1518, use the present value formula to determine the a...
 11.3.11.1.151: Little League Braden River Little League receives a $50,000 donatio...
 11.3.11.1.152: Contest Winnings Mary Robinson wins $2500 in a singing contest and ...
 11.3.11.1.153: Class Trip To help pay for a class trip at the end of their senior ...
 11.3.11.1.154: Investing Prize Winnings Marcella Laddon wins third prize in the Cl...
 11.3.11.1.155: Investing Gifts and Scholarships Cliff Morris just graduated from h...
 11.3.11.1.156: Investing a Signing Bonus Joe Gallegos just started a new job and h...
 11.3.11.1.157: Savings Account Investment When Richard Zucker was born, his father...
 11.3.11.1.158: Investing a Prize David Buckley won a writing contest and invested ...
 11.3.11.1.159: Personal Loan Brent Pickett borrowed $3000 from his brother Dave. H...
 11.3.11.1.160: Forgoing Interest Rikki Blair borrowed $6000 from her daughter, Lyn...
 11.3.11.1.161: House Down Payment Karen Gaines invested $10,000 in a money market ...
 11.3.11.1.162: Kids Club Savings Jean Woody opened a Kids Club savings account for...
 11.3.11.1.163: Determining Effective Annual Yield Determine the effective annual y...
 11.3.11.1.164: Determining Effective Annual Yield Determine the effective annual y...
 11.3.11.1.165: Verifying APY Suppose you saw a sign at your local bank that said, ...
 11.3.11.1.166: Verifying APY Suppose you saw an advertisement in the newspaper for...
 11.3.11.1.167: Comparing Investments Dave Dudley won a photography contest and rec...
 11.3.11.1.168: Comparing Loan Sources Tom Angelo needs to borrow $1500 to expand h...
 11.3.11.1.169: A New Water Tower The village of Kieler recently completed the cons...
 11.3.11.1.170: After seeing its neighboring village obtain a new water tower (see ...
 11.3.11.1.171: Saving for a Tractor Jim Roznowski wants to invest some money now t...
 11.3.11.1.172: Starting a New Business Kurtis Finks goal is to have $25,000 to sta...
 11.3.11.1.173: A New Car Adam Goldstein wishes to have $20,000 available in 18 yea...
 11.3.11.1.174: A New Roof Rebecca Baum will need to replace the roof of her house ...
 11.3.11.1.175: Doubling the Rate Determine the total amount and the interest paid ...
 11.3.11.1.176: Doubling the Principal Compute the total amount and the interest pa...
 11.3.11.1.177: Inflation The average cost for a loaf of bread in 2010 was $2.27. A...
 11.3.11.1.178: Determining the Interest Rate For a total accumulated amount of $35...
 11.3.11.1.179: Rule of 72 A simple formula can help you estimate the number of yea...
 11.3.11.1.180: Determining the Interest Rate Richard Maruszewski borrowed $2000 fr...
 11.3.11.1.181: Interest Comparison You are given a choice of taking the simple int...
 11.3.11.1.182: Imagine you have $4000 to invest and you need this money to grow to...
 11.3.11.1.183: Write a paper on the history of simple interest and compound intere...
Solutions for Chapter 11.3: Consumer Mathematics
Full solutions for A Survey of Mathematics with Applications  9th Edition
ISBN: 9780321759665
Solutions for Chapter 11.3: Consumer Mathematics
Get Full SolutionsA Survey of Mathematics with Applications was written by and is associated to the ISBN: 9780321759665. This expansive textbook survival guide covers the following chapters and their solutions. Since 51 problems in chapter 11.3: Consumer Mathematics have been answered, more than 69735 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: A Survey of Mathematics with Applications, edition: 9. Chapter 11.3: Consumer Mathematics includes 51 full stepbystep solutions.

Companion matrix.
Put CI, ... ,Cn in row n and put n  1 ones just above the main diagonal. Then det(A  AI) = ±(CI + c2A + C3A 2 + .•. + cnA nl  An).

Condition number
cond(A) = c(A) = IIAIlIIAIII = amaxlamin. In Ax = b, the relative change Ilox III Ilx II is less than cond(A) times the relative change Ilob III lib II· Condition numbers measure the sensitivity of the output to change in the input.

Dimension of vector space
dim(V) = number of vectors in any basis for V.

Factorization
A = L U. If elimination takes A to U without row exchanges, then the lower triangular L with multipliers eij (and eii = 1) brings U back to A.

Full row rank r = m.
Independent rows, at least one solution to Ax = b, column space is all of Rm. Full rank means full column rank or full row rank.

Graph G.
Set of n nodes connected pairwise by m edges. A complete graph has all n(n  1)/2 edges between nodes. A tree has only n  1 edges and no closed loops.

Hessenberg matrix H.
Triangular matrix with one extra nonzero adjacent diagonal.

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.

Iterative method.
A sequence of steps intended to approach the desired solution.

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

Lucas numbers
Ln = 2,J, 3, 4, ... satisfy Ln = L n l +Ln 2 = A1 +A~, with AI, A2 = (1 ± /5)/2 from the Fibonacci matrix U~]' Compare Lo = 2 with Fo = O.

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)·(b  Ax) = o.

Pascal matrix
Ps = pascal(n) = the symmetric matrix with binomial entries (i1~;2). Ps = PL Pu all contain Pascal's triangle with det = 1 (see Pascal in the index).

Pivot columns of A.
Columns that contain pivots after row reduction. These are not combinations of earlier columns. The pivot columns are a basis for the column space.

Right inverse A+.
If A has full row rank m, then A+ = AT(AAT)l has AA+ = 1m.

Semidefinite matrix A.
(Positive) semidefinite: all x T Ax > 0, all A > 0; A = any RT R.

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

Special solutions to As = O.
One free variable is Si = 1, other free variables = o.

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.

Transpose matrix AT.
Entries AL = Ajj. AT is n by In, AT A is square, symmetric, positive semidefinite. The transposes of AB and AI are BT AT and (AT)I.