 6.1: In 19, calculate the indicated quantity.3% of 500
 6.2: In 19, calculate the indicated quantity.20% of 1200
 6.3: In 19, calculate the indicated quantity.140% of 250
 6.4: In 19, calculate the indicated quantity.What percent of 200 is 40?
 6.5: In 19, calculate the indicated quantity.What percent of 350 is 75?
 6.6: In 19, calculate the indicated quantity.What percent of 50 is 125?
 6.7: In 19, calculate the indicated quantity.12 is 15% of what number?
 6.8: In 19, calculate the indicated quantity.25 is 6% of what number?
 6.9: In 19, calculate the indicated quantity.11 is 0.5% of what number?
 6.10: Sales Tax The sales tax in New York City is 8.875%. If the total ch...
 6.11: . Sales Tax Indiana has a sales tax of 7%. Dan purchased gifts for ...
 6.12: Find the interest I charged and amount A due, if $400 is borrowed f...
 6.13: . Dan borrows $500 at 9% per annum simple interest for 1 year and 2...
 6.14: Interest Due Jim borrows $14,000 for a period of 4 years at 6% simp...
 6.15: Loan Amount Warren needs $15,000 for a new machine for his auto rep...
 6.16: Treasury Bills How much should a bank bid for a 15month, $5,000 Tr...
 6.17: Find the amount of an investment of $100 after 2 years and 3 months...
 6.18: Mike places $200 in a savings account that pays 4% per annum compou...
 6.19: Choosing a Car Loan A car dealer offers Mike the choice of two loan...
 6.20: A mutual bond fund pays 9% per annum compounded monthly. How much s...
 6.21: Saving for a Bicycle Katy wants to buy a bicycle that costs $75 and...
 6.22: Doubling Money Marcia has $220,000 saved for her retirement. How lo...
 6.23: Doubling Money What annual rate of interest will cause an investmen...
 6.24: Effective Rate of Interest A bank advertises that it pays interest ...
 6.25: Effective Rate of Interest What interest rate compounded quarterly ...
 6.26: Saving for a Car Mike decides he needs $500 1 year from now to buy ...
 6.27: Saving for a House Mr. and Mrs. Corey are newlyweds and want to pur...
 6.28: True Cost of a Car Mike has just purchased a used car and will make...
 6.29: House Mortgage Mr. and Mrs. Ostedt have just purchased a $400,000 h...
 6.30: Inheritance Payouts An inheritance of $25,000 is to be paid in equa...
 6.31: House Mortgage A mortgage of $125,000 is to be amortized at 9% per ...
 6.32: . Paying Off Construction Bonds A state has $8,000,000 worth of con...
 6.33: Depletion much should Mr. Graff pay for a gold mine expected to yie...
 6.34: Depletion oil well is expected to yield an annual net return of $25...
 6.35: Retirement Income Mr. Doody, at age 70, is expected to live for 15 ...
 6.36: Saving for the Future Hal deposited $100 in an account paying 4% pe...
 6.37: Saving for College Mr. Jones wants to save for his sons college edu...
 6.38: Saving for the Future How much money should be invested at 2% compo...
 6.39: Loan Payments What monthly payment will amortize a loan of $3000 bo...
 6.40: Paying Off School Bonds A school board issues bonds in the amount o...
 6.41: . What effective rate of interest corresponds to a rate of 9% compo...
 6.42: If an amount was borrowed 5 years ago at 6% compounded quarterly, a...
 6.43: Trust Fund Payouts John is the beneficiary of a trust fund set up f...
 6.44: IRA Mike has $4000 in his IRA. At 6% annual interest compounded mon...
 6.45: Retirement Funds An employee gets paid at the end of each month and...
 6.46: . Retirement Income A man has $50,000 invested at 6% compounded qua...
 6.47: Buying a Car A student borrowed $4000 from a credit union toward pu...
 6.48: Leasing Decision A firm can lease office furniture for 5 years (its...
Solutions for Chapter 6: Finance
Full solutions for Finite Mathematics, Binder Ready Version: An Applied Approach  11th Edition
ISBN: 9780470876398
Solutions for Chapter 6: Finance
Get Full SolutionsSince 48 problems in chapter 6: Finance have been answered, more than 18048 students have viewed full stepbystep solutions from this chapter. Finite Mathematics, Binder Ready Version: An Applied Approach was written by and is associated to the ISBN: 9780470876398. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 6: Finance includes 48 full stepbystep solutions. This textbook survival guide was created for the textbook: Finite Mathematics, Binder Ready Version: An Applied Approach, edition: 11.

Affine transformation
Tv = Av + Vo = linear transformation plus shift.

Basis for V.
Independent vectors VI, ... , v d whose linear combinations give each vector in V as v = CIVI + ... + CdVd. V has many bases, each basis gives unique c's. A vector space has many bases!

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

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.

Cramer's Rule for Ax = b.
B j has b replacing column j of A; x j = det B j I det A

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

Ellipse (or ellipsoid) x T Ax = 1.
A must be positive definite; the axes of the ellipse are eigenvectors of A, with lengths 1/.JI. (For IIx II = 1 the vectors y = Ax lie on the ellipse IIA1 yll2 = Y T(AAT)1 Y = 1 displayed by eigshow; axis lengths ad

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.

Fourier matrix F.
Entries Fjk = e21Cijk/n give orthogonal columns FT F = nI. Then y = Fe is the (inverse) Discrete Fourier Transform Y j = L cke21Cijk/n.

Inverse matrix AI.
Square matrix with AI A = I and AAl = I. No inverse if det A = 0 and rank(A) < n and Ax = 0 for a nonzero vector x. The inverses of AB and AT are B1 AI and (AI)T. Cofactor formula (Al)ij = Cji! detA.

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

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

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.

Row space C (AT) = all combinations of rows of A.
Column vectors by convention.

Skewsymmetric matrix K.
The transpose is K, since Kij = Kji. Eigenvalues are pure imaginary, eigenvectors are orthogonal, eKt is an orthogonal matrix.

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.

Subspace S of V.
Any vector space inside V, including V and Z = {zero vector only}.

Symmetric matrix A.
The transpose is AT = A, and aU = a ji. AI is also symmetric.

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