Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305585447
Author: Robert Brechner, Geroge Bergeman
Publisher: Cengage Learning
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Chapter 14, Problem 14CR
To determine
The formula for the total obligation ratio.
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(8) (12 points)
(a) (8 points) Let C be the circle x² + y² = 4. Let
F(x, y) = (2y + e²)i + (x + sin(y²))j.
Evaluate the line integral
JF.
F.ds.
Hint: First calculate V x F.
(b) (4 points) Let S be the surface r² + y² + z² = 4, z ≤0. Calculate the flux
integral
√(V × F)
F).dS.
Justify your answer.
Determine whether the Law of Sines or the Law of Cosines can be used to find another measure of the triangle.
a = 13, b = 15, C = 68°
Law of Sines
Law of Cosines
Then solve the triangle. (Round your answers to four decimal places.)
C = 15.7449
A = 49.9288
B = 62.0712
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(4) (10 points) Evaluate
√(x² + y² + z²)¹⁄² exp[}(x² + y² + z²)²] dV
where D is the region defined by 1< x² + y²+ z² ≤4 and √√3(x² + y²) ≤ z.
Note: exp(x² + y²+ 2²)²] means el (x²+ y²+=²)²]¸
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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- (2) (12 points) Let f(x,y) = x²e¯. (a) (4 points) Calculate Vf. (b) (4 points) Given x directional derivative 0, find the line of vectors u = D₁f(x, y) = 0. (u1, 2) such that the - (c) (4 points) Let u= (1+3√3). Show that Duƒ(1, 0) = ¦|▼ƒ(1,0)| . What is the angle between Vf(1,0) and the vector u? Explain.arrow_forwardFind the missing values by solving the parallelogram shown in the figure. (The lengths of the diagonals are given by c and d. Round your answers to two decimal places.) a b 29 39 66.50 C 17.40 d 0 54.0 126° a Ꮎ b darrow_forwardAnswer the following questions related to the following matrix A = 3 ³).arrow_forward
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