Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
8th Edition
ISBN: 9781337125468
Author: Brechner
Publisher: Cengage
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Chapter 18.I, Problem 3TIE
At the end of a business day, the cash register at The Grove Art Gallery showed total sales, including sales tax. of $3,520. If the state and local sales taxes amounted to what is the amount of the gallery’s actual sales? How much sales tax was collected that day?
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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 18 Solutions
Contemporary Mathematics for Business & Consumers - With LMS CengageNOW
Ch. 18.I - Use Exhibit 18-1 to determine the amount of sales...Ch. 18.I - Andy Bennett purchased a car for $38,600 at Auto...Ch. 18.I - At the end of a business day, the cash register at...Ch. 18.I - An archery set at The Sports Authority in Mason,...Ch. 18.I - Use Exhibit 18-1 to determine the sales tax and...Ch. 18.I - Use Exhibit 18-1 to determine the sales tax and...Ch. 18.I - Use Exhibit 18-1 to determine the sales tax and...Ch. 18.I - Use Exhibit 18-1 to determine the sales tax and...Ch. 18.I - Use Exhibit 18-1 to determine the sales tax and...Ch. 18.I - Use Exhibit 18-1 to determine the sales tax and...
Ch. 18.I - Calculate the missing information for the...Ch. 18.I - Calculate the missing information for the...Ch. 18.I - Calculate the missing information for the...Ch. 18.I - Calculate the missing information for the...Ch. 18.I - Calculate the missing information for the...Ch. 18.I - Calculate the missing information for the...Ch. 18.I -
Calculate the missing information for the...Ch. 18.I - 14. Gloria Carey purchased a refrigerator at Best...Ch. 18.I - 15. Sig Moline purchased supplies at Office Max...Ch. 18.I - Last month The Sweet Tooth Candy Shops had total...Ch. 18.I - Abby Duncan purchased a diamond necklace for...Ch. 18.I - 18. The federal excise tax on commercial aviation...Ch. 18.I - BUSINESS DECISION: SPLITTING THE TAX You are the...Ch. 18.II - Calculate the tax due on a condominium with an...Ch. 18.II - Calculate the tax due on a three-acre parcel of...Ch. 18.II - Prob. 7TIECh. 18.II - Prob. 8TIECh. 18.II - Prob. 9TIECh. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the assessed value and the property tax...Ch. 18.II - Calculate the property tax rate required to meet...Ch. 18.II - Calculate the property tax rate required to meet...Ch. 18.II - Calculate the property tax rate required to meet...Ch. 18.II - Calculate the property tax rate required to meet...Ch. 18.II - Calculate the property tax rate required to meet...Ch. 18.II - 18. Chuck Wells purchased a condominium with a...Ch. 18.II - As the tax assessor for Indian Creek County, you...Ch. 18.II - BUSINESS DECISION: EARLY PAYMENT, LATE PAYMENT
20....Ch. 18.III - Nick Bontempo is single, claiming two exemptions....Ch. 18.III - Julie Goodwin and her husband, Doug, had taxable...Ch. 18.III - Mike Straus had taxable income of $123,545 last...Ch. 18.III - Kenya Dawson had a tax liability of $14,600 last...Ch. 18.III - The Trough Restaurant had taxable income of...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - As a tax return preparer for The Fernando...Ch. 18.III - 9. Nancy Sullivan sells wholesale school supplies...Ch. 18.III - Use the Tax Table, Exhibit 18-3, to calculate the...Ch. 18.III - Use the Tax Table, Exhibit 18-3, to calculate the...Ch. 18.III - Use the Tax Table, Exhibit 18-3, to calculate the...Ch. 18.III - Use the Tax Table, Exhibit 18-3, to calculate the...Ch. 18.III - Use the Tax Table, Exhibit 18-3, to calculate the...Ch. 18.III - Prob. 15RECh. 18.III - Prob. 16RECh. 18.III - Prob. 17RECh. 18.III - Prob. 18RECh. 18.III - Prob. 19RECh. 18.III - Prob. 20RECh. 18.III - Prob. 21RECh. 18.III - Prob. 22RECh. 18.III - Prob. 23RECh. 18.III - Prob. 24RECh. 18.III - Buck and Meghan Calder had combined income of...Ch. 18.III - Calculate the amount of corporate income tax due...Ch. 18.III - Calculate the amount of corporate income tax due...Ch. 18.III - Calculate the amount of corporate income tax due...Ch. 18.III - Calculate the amount of corporate income tax due...Ch. 18.III - Prob. 30RECh. 18 - 1. A tax based on the retail selling or rental...Ch. 18 - Sales tax expressed in its most common form, as a...Ch. 18 - 3. Write the formula for calculating the selling...Ch. 18 - Prob. 4CRCh. 18 - Another name for property tax is ____ _____ tax....Ch. 18 - Prob. 6CRCh. 18 - Prob. 7CRCh. 18 - 8. As the tax assessor for your city, what formula...Ch. 18 - Prob. 9CRCh. 18 - Prob. 10CRCh. 18 - Prob. 11CRCh. 18 - Prob. 12CRCh. 18 - Prob. 13CRCh. 18 - Prob. 14CRCh. 18 - Use Exhibit 18-1 to determine the sales tax and...Ch. 18 - Use Exhibit 18-1 to determine the sales tax and...Ch. 18 - Calculate the missing information for the...Ch. 18 - Calculate the missing information for the...Ch. 18 - Calculate the missing information for the...Ch. 18 - Calculate the missing information for the...Ch. 18 - 7. Tim Meekma purchased a microwave oven for...Ch. 18 - 8. Yesterday Estate Jewelers had total sales,...Ch. 18 - 9. For its fleet of trucks, Overland Transport,...Ch. 18 - Calculate the assessed value and the property tax...Ch. 18 - Calculate the assessed value and the property tax...Ch. 18 -
Calculate the assessed value and the property tax...Ch. 18 - Calculate the assessed value and the property tax...Ch. 18 - Calculate the property tax rate required to meet...Ch. 18 - Calculate the property tax rate required to meet...Ch. 18 - 16. The Young family is considering the purchase...Ch. 18 - 17. As the lax assessor for Barclay County, you...Ch. 18 - Calculate the missing Information for the...Ch. 18 - Calculate the missing Information for the...Ch. 18 - Calculate the missing Information for the...Ch. 18 - As an accountant for the Give Me A Break Tax...Ch. 18 - As an accountant for the Give Me A Break Tax...Ch. 18 - As an accountant for the Give Me A Break Tax...Ch. 18 - As an accountant for the Give Me A Break Tax...Ch. 18 - As an accountant for the Give Me A Break Tax...Ch. 18 - As an accountant for the Give Me A Break Tax...Ch. 18 - Calculate the amount of tax refund or tax owed for...Ch. 18 - Calculate the amount of tax refund or tax owed for...Ch. 18 - Bob Paris is the promotions director for Power...Ch. 18 - 30. You are the lax consultant for Fidelity...
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