Contemporary Mathematics for Business and Consumers
7th Edition
ISBN: 9781285189758
Author: Robert Brechner, George Bergeman
Publisher: Cengage Learning
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Chapter 9, Problem 7AT
Calculate the gross earnings for the following Universal Manufacturing employees.
| Employee | Mon. | Tues. | Wed. | Thurs. | Fri. | Sat | TotalUnits | GrossEarnings | |
| a. | Shane | 0 | 32 | 16 | 36 | 27 | 12 | ||
| b. | Gonzales | 18 | 26 | 24 | 10 | 13 | 0 | ||
| c. | Bethards | 26 | 42 | 49 | 51 | 34 | 20 |
Kate Fitzgerald’s company pays differential piecework for electronic product manufacturing. Production pay rates for a particular circuit board assembly and soldering are $18.20 per board for the first 14 boards, $19.55 each for boards 15-30, $20.05 each for boards 31-45, and $20.48 each for boards 46 and up. If Kate assembled and soldered 52 boards last week, what was her total gross pay?
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Keity
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1. (i)
Identify which of the following subsets of R2 are open and which
are not.
(a)
A = (2,4) x (1, 2),
(b)
B = (2,4) x {1,2},
(c)
C = (2,4) x R.
Provide a sketch and a brief explanation to each of your answers.
[6 Marks]
(ii)
Give an example of a bounded set in R2 which is not open.
[2 Marks]
(iii)
Give an example of an open set in R2 which is not bounded.
[2 Marks
2.
(i)
Which of the following statements are true? Construct coun-
terexamples for those that are false.
(a)
sequence.
Every bounded sequence (x(n)) nEN C RN has a convergent sub-
(b)
(c)
(d)
Every sequence (x(n)) nEN C RN has a convergent subsequence.
Every convergent sequence (x(n)) nEN C RN is bounded.
Every bounded sequence (x(n)) EN CRN converges.
nЄN
(e)
If a sequence (xn)nEN C RN has a convergent subsequence, then
(xn)nEN is convergent.
[10 Marks]
(ii)
Give an example of a sequence (x(n))nEN CR2 which is located on
the parabola x2 = x², contains infinitely many different points and converges
to the limit x = (2,4).
[5 Marks]
2.
(i) What does it mean to say that a sequence (x(n)) nEN CR2
converges to the limit x E R²?
[1 Mark]
(ii) Prove that if a set ECR2 is closed then every convergent
sequence (x(n))nen in E has its limit in E, that is
(x(n)) CE and x() x
x = E.
[5 Marks]
(iii)
which is located on the parabola x2 = = x
x4, contains a subsequence that
Give an example of an unbounded sequence (r(n)) nEN CR2
(2, 16) and such that x(i)
converges to the limit x = (2, 16) and such that x(i)
#
x() for any i j.
[4 Marks
Chapter 9 Solutions
Contemporary Mathematics for Business and Consumers
Ch. 9.I - An executive of a large manufacturing company...Ch. 9.I - Rick Morton works as a delivery truck driver for...Ch. 9.I - George Lopez works at a tire manufacturing plant....Ch. 9.I - You are the payroll manager for Trendy Toys, Inc.,...Ch. 9.I - Alexa Walsh sells for Supreme Designs, a...Ch. 9.I - Mike Lamb sells copiers for Royal Business...Ch. 9.I - Ed Diamond is a sales representative for Jersey...Ch. 9.I - Howard Lockwood sells for Catalina Designs, Inc....Ch. 9.I - Calculate the gross earnings per pay period for...Ch. 9.I - Calculate the gross earnings per day period for...
Ch. 9.I - Calculate the gross earnings per pay period for...Ch. 9.I - Calculate the gross earnings per day period for...Ch. 9.I - Prob. 5RECh. 9.I - Calculate the gross earnings per pay period for...Ch. 9.I - Prob. 7RECh. 9.I - Mary Jo Prenaris is an office manager with gross...Ch. 9.I - 9. Deb O’Connell is an accounting professional...Ch. 9.I - 10. Jennifer Brunner works 40 hours per week as a...Ch. 9.I - 11. Alan Kimball earns $22.34 per hour as a...Ch. 9.I - 12. Paul Curcio earns $8.25 per hour for regular...Ch. 9.I - Prob. 13RECh. 9.I - As the payroll manager for Stargate Industries,...Ch. 9.I - Prob. 15RECh. 9.I - As the payroll manager for Stargate Industries,...Ch. 9.I - Prob. 17RECh. 9.I - Calculate last week’s total gross pay for each of...Ch. 9.I - Prob. 19RECh. 9.I - Prob. 20RECh. 9.I - 21. Katrina Byrd assembles motor mounts for C-207...Ch. 9.I - 22. Bob Farrell works for a company that...Ch. 9.I - 23. What is the total gross pay for a salesperson...Ch. 9.I - Pamela Mello is paid on an incremental commission...Ch. 9.I - Dory Schrader is a buyer for Oceans of Notions....Ch. 9.I - Thomas Rendells company pays him a straight 6%...Ch. 9.I - 27. Katie Jergens works for Dynamic Designs...Ch. 9.I - 28. Jerry King is a server in a restaurant that...Ch. 9.II - What are the withholdings for social security and...Ch. 9.II - Rick Nicotera has year-to-date earnings of...Ch. 9.II - Jan McMillan is married, claims five exemptions,...Ch. 9.II - Using the combined wage bracket tables, what is...Ch. 9.II - Solve the following problems using 6.2%, up to...Ch. 9.II - Solve the following problems using 6.2%, up to...Ch. 9.II - Solve the following problems using 6.2%, up to...Ch. 9.II - Solve the following problems using 6.2%, up to...Ch. 9.II - As the payroll manager for Freeport enterprises,...Ch. 9.II - As the payroll manager for Freeport enterprises,...Ch. 9.II - As the payroll manager for Freeport enterprises,...Ch. 9.II - As the payroll manager for Freeport enterprises,...Ch. 9.II - Use the percentage method of income tax...Ch. 9.II - Use the percentage method of income tax...Ch. 9.II - Prob. 11RECh. 9.II - Use the percentage method of income tax...Ch. 9.II - Use the combined wage bracket tables, Exhibits 9-3...Ch. 9.II - Use the combined wage bracket tables, Exhibits 9-3...Ch. 9.II - Use the combined wage bracket tables, Exhibits 9-3...Ch. 9.II - Marital Withholding Gross Combined Employee Status...Ch. 9.II - Prob. 17RECh. 9.II - ...Ch. 9.II - Marital Withholding Gross Combined Employee Status...Ch. 9.III - Big Pine Tree Service has 18 employees, 12 with...Ch. 9.III - Les Roberts, a self-employed commercial artist,...Ch. 9.III - Prob. 15TIECh. 9.III - Prob. 16TIECh. 9.III - Prob. 17TIECh. 9.III - Prob. 1RECh. 9.III - Prob. 2RECh. 9.III - 3. Arrow Asphalt & Paving Company has 24...Ch. 9.III - What are the social security and Medicare taxes...Ch. 9.III - 5. What are the social security and Medicare taxes...Ch. 9.III - Lee Sutherlin is a self-employed electrical...Ch. 9.III - Prob. 7RECh. 9.III - Prob. 8RECh. 9.III - Prob. 9RECh. 9.III - 10. Amazon Appliance Company has three installers....Ch. 9.III - Jiffy Janitorial Service employs 48 workers and...Ch. 9.III - North Beach Limousine Service employs 166 workers...Ch. 9.III - Marc Batchelor, a self-employed sales consultant,...Ch. 9 - Gross pay is the amount of earnings before payroll...Ch. 9 - 2. Annual salaries are commonly prorated to be...Ch. 9 - Prob. 3CRCh. 9 - Prob. 4CRCh. 9 - Prob. 5CRCh. 9 - 6. A draw against commission is commission paid in...Ch. 9 - Prob. 7CRCh. 9 - Prob. 8CRCh. 9 - In addition to social security and Medicare tax...Ch. 9 - Prob. 10CRCh. 9 - Prob. 11CRCh. 9 - Prob. 12CRCh. 9 - A plan whereby employees are given a menu of...Ch. 9 - Prob. 14CRCh. 9 - 1. Bill Pearson earns $2,800 semimonthly as a...Ch. 9 - 2. Barbara Sultan works 40 hours per week as a...Ch. 9 - Eric Shotwells company pays him $18.92 per hour...Ch. 9 - 4. Mitch Anderson is a security guard. He earns...Ch. 9 - 5. Fergie Nelson assembles toasters for the Gold...Ch. 9 - Prob. 6ATCh. 9 - Calculate the gross earnings for the following...Ch. 9 - Prob. 8ATCh. 9 - Calculate the gross earnings for the following...Ch. 9 - Prob. 10ATCh. 9 - Calculate the gross earnings for the following...Ch. 9 - Calculate the gross earnings for the following...Ch. 9 - Solve the following problems using 6.2% up to...Ch. 9 - Solve the following problems using 6.2% up to...Ch. 9 - Use the percentage method to solve the...Ch. 9 - Use the combined wage bracket tables. Exhibits 9-3...Ch. 9 - Use the combined wage bracket tables. Exhibits 9-3...Ch. 9 - Prob. 18ATCh. 9 - Prob. 19ATCh. 9 - 20. Paul Warren is a self-employed mechanic. Last...Ch. 9 - Tim Ries earns $48,320 annually as a supervisor...Ch. 9 - 22. Universal Exporting has three warehouse...Ch. 9 - Sky High Crane Company employs 150 workers and has...Ch. 9 - 24. Ransford Alda is a self-employed security...
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