Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Chapter 14.I, Problem 21RE
Joe and Gloria Moutran art purchasing a house in Winter Springs financed with an adjustable- rate mortgage. The lender’s margin on the loan is
a. What is the calculated interest rate of the ARM?
b. What is the maximum overall ARM rate of the loan?
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(b) In various places in this module, data on the silver content of coins
minted in the reign of the twelfth-century Byzantine king Manuel I
Comnenus have been considered. The full dataset is in the Minitab file
coins.mwx. The dataset includes, among others, the values of the
silver content of nine coins from the first coinage (variable Coin1) and
seven from the fourth coinage (variable Coin4) which was produced a
number of years later. (For the purposes of this question, you can
ignore the variables Coin2 and Coin3.) In particular, in Activity 8 and
Exercise 2 of Computer Book B, it was argued that the silver contents
in both the first and the fourth coinages can be assumed to be normally
distributed. The question of interest is whether there were differences in
the silver content of coins minted early and late in Manuel’s reign. You
are about to investigate this question using a two-sample t-interval.
(i) Using Minitab, find either the sample standard deviations of the
two variables…
5. (a) State the Residue Theorem. Your answer should include all the conditions required
for the theorem to hold.
(4 marks)
(b) Let y be the square contour with vertices at -3, -3i, 3 and 3i, described in the
anti-clockwise direction. Evaluate
に
dz.
You must check all of the conditions of any results that you use.
(5 marks)
(c) Evaluate
L
You must check all of the conditions of any results that you use.
ཙ
x sin(Tx)
x²+2x+5
da.
(11 marks)
3. (a) Lety: [a, b] C be a contour. Let L(y) denote the length of y. Give a formula
for L(y).
(1 mark)
(b) Let UCC be open. Let f: U→C be continuous. Let y: [a,b] → U be a
contour. Suppose there exists a finite real number M such that |f(z)| < M for
all z in the image of y. Prove that
<
||, f(z)dz| ≤ ML(y).
(3 marks)
(c) State and prove Liouville's theorem. You may use Cauchy's integral formula without
proof.
(d) Let R0. Let w € C. Let
(10 marks)
U = { z Є C : | z − w| < R} .
Let f UC be a holomorphic function such that
0 < |ƒ(w)| < |f(z)|
for all z Є U. Show, using the local maximum modulus principle, that f is constant.
(6 marks)
Chapter 14 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 14.I - What is the monthly payment and total interest on...Ch. 14.I - Prob. 2TIECh. 14.I - Prob. 3TIECh. 14.I - Prob. 4TIECh. 14.I - Prob. 5TIECh. 14.I - Using Table 14-1 as needed, calculate the required...Ch. 14.I - Prob. 2RECh. 14.I - Using Table 14-1 as needed, calculate the required...Ch. 14.I - Prob. 4RECh. 14.I - Prob. 5RE
Ch. 14.I - Prob. 6RECh. 14.I - Using Table 14-1 as needed, calculate the required...Ch. 14.I - Prob. 8RECh. 14.I - As one of the loan officers for Grove Gate Bank,...Ch. 14.I - As one of the loan officers for Grove Gate Bank,...Ch. 14.I - As one of the loan officers for Grove Gate Bank,...Ch. 14.I - As one of the loan officers for Grove Gate Bank,...Ch. 14.I - As one of the loan officers for Grove Gate Bank,...Ch. 14.I - As one of the loan officers for Grove Gate Bank,...Ch. 14.I - Ben and Mal Scott plan to buy a home for $272,900....Ch. 14.I - 16. Michael Sanchez purchased a condominium for...Ch. 14.I - 17. Luis Schambach is shopping for a 15-year...Ch. 14.I - 18. Phil Pittman is interested in a fixed-rate...Ch. 14.I - 19. Larry and Cindy Lynden purchased a townhome in...Ch. 14.I - Heather Gott bought a home with an adjustable-rate...Ch. 14.I - Joe and Gloria Moutran art purchasing a house in...Ch. 14.I - 22. You are a real estate broker for Aurora...Ch. 14.II - Justin Schaefer owns a home that was recently...Ch. 14.II - Roman Bass cams a gross income of $3,100 per...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - Calculate the housing expense ratio and the total...Ch. 14.II - Calculate the housing expense ratio and the total...Ch. 14.II - Prob. 10RECh. 14.II - Prob. 11RECh. 14.II - Prob. 12RECh. 14.II - Prob. 13RECh. 14.II - Prob. 14RECh. 14.II - Use Exhibit 14-4, Lending Ratio Guidelines, on...Ch. 14.II - 16. Ronald and Samantha Brady recently had their...Ch. 14.II - Prob. 17RECh. 14.II - Ransford and Alda Mariano own a home recently...Ch. 14.II - Prob. 19RECh. 14.II - Jamie and Alice Newmark have a combined monthly...Ch. 14.II - Prob. 21RECh. 14.II - According to moncy.CNN.com. with mortguge rates...Ch. 14 - 1. Land, including permanent improvements on that...Ch. 14 - A(n) ___________ is a loan in which real property...Ch. 14 - Mortgage ___________ points are an extra charge...Ch. 14 - Prob. 4CRCh. 14 - 5. A(n) ___________ account is a bank account used...Ch. 14 - Prob. 6CRCh. 14 - Prob. 7CRCh. 14 - Prob. 8CRCh. 14 - Prob. 9CRCh. 14 - Prob. 10CRCh. 14 - A home equity ___________ is a lump-sum second...Ch. 14 - Prob. 12CRCh. 14 - Prob. 13CRCh. 14 - Prob. 14CRCh. 14 - Prob. 1ATCh. 14 - Prob. 2ATCh. 14 - Suzanne Arthurs purchased a home with a $146,100...Ch. 14 - Prob. 4ATCh. 14 - Prob. 5ATCh. 14 - Prob. 6ATCh. 14 - Prob. 7ATCh. 14 - Prob. 8ATCh. 14 - Prob. 9ATCh. 14 - Prob. 10ATCh. 14 - Prob. 11ATCh. 14 - 12. Dale Evans bought the Lazy D Ranch with an...Ch. 14 - 13. Diversified Investments purchased a 24-unit...Ch. 14 - Larry Mager purchased a ski lodge in Telluride for...Ch. 14 - 15. A Denny’s Restaurant franchisee is looking for...Ch. 14 - Prob. 16ATCh. 14 - Adam Marsh is purchasing a $134,000 condominium...Ch. 14 - Prob. 18ATCh. 14 - Prob. 19ATCh. 14 - Prob. 20ATCh. 14 - 21. Phil Armstrong earns a gross income of $5,355...Ch. 14 - 22. Magda Leon is applying for a home mortgage...
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