 6.3.1: Evaluate: Round your answer to 5 decimal places. (pp. A28 to A33)
 6.3.2: Round your answer to 6 decimal places. (pp. A28 to A33) Evaluate: (...
 6.3.3: An __________ is a sequence of equal periodic deposits.
 6.3.4: The sum of all the equal periodic deposits and the interest earned ...
 6.3.5: In 514, find the amount of each annuity.After 10 annual deposits of...
 6.3.6: In 514, find the amount of each annuity.After 12 monthly deposits o...
 6.3.7: In 514, find the amount of each annuity.After 12 monthly deposits o...
 6.3.8: In 514, find the amount of each annuity.After 5 annual deposits of ...
 6.3.9: In 514, find the amount of each annuity.After 36 monthly deposits o...
 6.3.10: In 514, find the amount of each annuity.After 40 semiannual deposit...
 6.3.11: In 514, find the amount of each annuity.After 60 monthly deposits o...
 6.3.12: In 514, find the amount of each annuity.After 8 quarterly deposits ...
 6.3.13: In 514, find the amount of each annuity.After 10 annual deposits of...
 6.3.14: In 514, find the amount of each annuity.After 20 annual deposits of...
 6.3.15: In 1524, find the payment required for each sinking fund.The amount...
 6.3.16: In 1524, find the payment required for each sinking fund.The amount...
 6.3.17: In 1524, find the payment required for each sinking fund.The amount...
 6.3.18: In 1524, find the payment required for each sinking fund.The amount...
 6.3.19: In 1524, find the payment required for each sinking fund.The amount...
 6.3.20: In 1524, find the payment required for each sinking fund.The amount...
 6.3.21: In 1524, find the payment required for each sinking fund.The amount...
 6.3.22: In 1524, find the payment required for each sinking fund.The amount...
 6.3.23: In 1524, find the payment required for each sinking fund.The amount...
 6.3.24: In 1524, find the payment required for each sinking fund.. The amou...
 6.3.25: Market Value of a Mutual Fund Al invests $2500 a year in a mutual f...
 6.3.26: Value of an Annuity Todd and Tami pay $300 every 3 months for 6 yea...
 6.3.27: Saving for a Car Sheila wants to invest an amount every 3 months so...
 6.3.28: Saving for a House In 4 years Colleen and Bill would like to have $...
 6.3.29: Funding a Pension Dan wishes to have $350,000 in a pension fund 20 ...
 6.3.30: Funding a Keogh Plan Pat has a Keogh retirement plan (this type of ...
 6.3.31: Sinking Fund Payment A company establishes a sinking fund to provid...
 6.3.32: Paying Off Bonds A state has $5,000,000 worth of bonds that are due...
 6.3.33: . Depletion Investment An investor wants to know the amount she sho...
 6.3.34: Time Needed for a Million Dollars If you deposit $10,000 every year...
 6.3.35: Bond Payments A city has issued bonds to finance a new library. The...
 6.3.36: Value of an IRA (a) Tanya invested $2000 in an IRA each year for 10...
 6.3.37: Managing a Condo The Crown Colony Condo Association is required by ...
 6.3.38: Managing a Condo The Crown Colony Condo Association is required by ...
 6.3.39: Time to Save a Million Dollars How many years will it take to save ...
 6.3.40: Time to Save a Million Dollars How many years will it take to save ...
 6.3.41: . Saving for a Trip Angie wants to plan a trip to Hawaii with her h...
 6.3.42: Saving for a Trip Shane wants to plan a trip to Australia with his ...
 6.3.43: . Saving for Repairs In May 2010, Bath Community Schools asked vote...
 6.3.44: Planning for Growth Based on trends in census data, a K12 school di...
 6.3.45: 529 College Savings Plan Pam and Tim decide to start saving money f...
 6.3.46: 529 College Savings Plan Christine and Adam decide to start saving ...
 6.3.47: Lottery without Taxes Dan won $2.6 million in a state lottery and m...
 6.3.48: Lottery with Taxes Refer to 47. Dan must pay federal taxes on his w...
 6.3.49: Saving for a Car In January 2010, a new Honda Accord EX with manual...
 6.3.50: Saving for a Down Payment on a Home The median price of an existing...
 6.3.51: Saving for College The average annual undergraduate college tuition...
 6.3.52: Saving for College The average annual undergraduate college tuition...
Solutions for Chapter 6.3: Annuities; Sinking Funds
Full solutions for Finite Mathematics, Binder Ready Version: An Applied Approach  11th Edition
ISBN: 9780470876398
Solutions for Chapter 6.3: Annuities; Sinking Funds
Get Full SolutionsThis textbook survival guide was created for the textbook: Finite Mathematics, Binder Ready Version: An Applied Approach, edition: 11. This expansive textbook survival guide covers the following chapters and their solutions. Finite Mathematics, Binder Ready Version: An Applied Approach was written by and is associated to the ISBN: 9780470876398. Since 52 problems in chapter 6.3: Annuities; Sinking Funds have been answered, more than 15878 students have viewed full stepbystep solutions from this chapter. Chapter 6.3: Annuities; Sinking Funds includes 52 full stepbystep solutions.

Augmented matrix [A b].
Ax = b is solvable when b is in the column space of A; then [A b] has the same rank as A. Elimination on [A b] keeps equations correct.

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.

Conjugate Gradient Method.
A sequence of steps (end of Chapter 9) to solve positive definite Ax = b by minimizing !x T Ax  x Tb over growing Krylov subspaces.

Four Fundamental Subspaces C (A), N (A), C (AT), N (AT).
Use AT for complex A.

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 .

Kirchhoff's Laws.
Current Law: net current (in minus out) is zero at each node. Voltage Law: Potential differences (voltage drops) add to zero around any closed loop.

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

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.

Matrix multiplication AB.
The i, j entry of AB is (row i of A)·(column j of B) = L aikbkj. By columns: Column j of AB = A times column j of B. By rows: row i of A multiplies B. Columns times rows: AB = sum of (column k)(row k). All these equivalent definitions come from the rule that A B times x equals A times B x .

Network.
A directed graph that has constants Cl, ... , Cm associated with the edges.

Nullspace N (A)
= All solutions to Ax = O. Dimension n  r = (# columns)  rank.

Particular solution x p.
Any solution to Ax = b; often x p has free variables = o.

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.

Rank r (A)
= number of pivots = dimension of column space = dimension of row space.

Reduced row echelon form R = rref(A).
Pivots = 1; zeros above and below pivots; the r nonzero rows of R give a basis for the row space of A.

Saddle point of I(x}, ... ,xn ).
A point where the first derivatives of I are zero and the second derivative matrix (a2 II aXi ax j = Hessian matrix) is indefinite.

Schwarz inequality
Iv·wl < IIvll IIwll.Then IvTAwl2 < (vT Av)(wT Aw) for pos def A.

Spanning set.
Combinations of VI, ... ,Vm fill the space. The columns of A span C (A)!

Unitary matrix UH = U T = UI.
Orthonormal columns (complex analog of Q).

Wavelets Wjk(t).
Stretch and shift the time axis to create Wjk(t) = woo(2j t  k).