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Prove that G(n) = 2n 4 for n 4.

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 71E Chapter 5.1

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 71E

Prove that G(n) = 2n ? 4 for n ?4.

Step-by-Step Solution:
Step 1 of 3

ACCT 2810-001 Chapter 7  Fixed Assets- long term or relatively permanent assets such as equipment, machinery, buildings, and land. (A cost that has been incurred o Exist physically o Owned and used by the company in its normal operations o Not offered for sale as part of normal operations  Classifying Cost: o If purchase is long lived… the item is capitalized on the balance sheet as a fixed asset or investment o If not… the item is classified and recorded as an expense o If the asset is used in normal operations…classify and record as a fixed cost o If not... classified and recorded as an investment  Revenue Expenditures- Cost that benefit only the current period o Ordinary maintenance and repairs o Benefit only the current period o Increase repairs and maintenance expense  Capital Expenditures- Cost that improve the asset or extended its useful life o Asset improvements o Benefit current and future periods o Increase fixed assets  Depreciation- Periodic recording of the cost fixed assets as an expense o Physical depreciation- wear and tear during use or from exposure to weather o Functional depreciation- obsolescence and changes in customer needs that cause the asset to no longer provide services for which it was intended o Initial Cost – residual value = depreciation value  Depreciation Methods o Straight-line method- provides for the same amount of depreciation expense each year of the assets useful life *most used  Annual depreciation= cost-residual value/useful life o Double-Declining Balance Method- Provides more depreciation in earlier years over the expected useful life of the asset.  1sndstep: Straight-line percentage  2 step: Double declining-balance rate  3 step: Depreciation expense  Book Value: cost – accumulated depreciation  Depletion- The process of transferring the cost of natural resources to an expense account o 1 step: Depletion Rate= Cost of Revenue / Estimated Total Units of Resources o 2 step: Depletion Expense= Depletion Rate x Quantity Extracted rd o 3 Step: Depletion Rate= Cost of Resource / Estimated Total Units of Recourse  Intangible Assets- Long-lived assets that are useful in the operations of business and are not held for sale. o Patents- Exclusive rights to produce and sell goods with one or more unique features o Copyright- Exclusive right to publish and sell a literary, artistic, or musical composition o Trademark- a name, term, or symbol used to identify a business and its products o Goodwill- intangible asset of a business that is created from such favorable factors as location, product quality, reputation, and manageable skill.  Fixed asset turnover- measures how efficiently a company is generating sales from its property, plant, and equipment o = Net Sales/Average Net Property, Plant, and Equipment Chapter 8  Current Liabilities- Liabilities that are to be paid out of current assets and are due within short time o Receiving goods or services prior to making payment o Receiving payment prior to delivering goods or services  Long-term Liabilities- Liabilities due beyond one year  Contingent Liability- Potential liabilities if certain events occur in the future o Likelihood of occurring: probable, reasonably, possible, or remote o Measurement: Estimable or not estimable  Note Payable o Satisfy an account payable o Purchase merchandise or other assets  Taxable Income- the income of a corporation that is subject to taxes as determined according to the tax laws  Temporary Differences- differences between taxable income and income before income taxes  Payroll- the amount paid to employees for the services they provide during a period  Gross pay- total earnings of an employee for a payroll period, including bonuses and overtime pay  Net Pay- the amount the employer must pay the employee  Bond- a form of an interest-bearing note. o Bond indenture- a contract between a corporation issuing bonds and the bondholders o Market rate of interest- The effective rate of interest at the time the bonds were issued o Contract rate- the periodic interest to be paid on the bonds that is identified in the bond indenture o The price the buyers are willing to pay for the bonds depends on:  The face amount of the bonds due at maturity date  The periodic interest to be paid on the bonds  The market rate of interest  Common stock- When only one stock is issued  Par- shares of stock that have a monetary amount  Outstanding stock- the stock remaining in the hands of stockholders  Majors right that accompany ownership of a share of stock: o Right to vote in matters concerning corporation o Right to share in distributions of earnings o Right to share in assets upon liquidation  Price at which stock is sold depends on a variety of factors: o Financial condition, earnings record, and dividend record of the corporation o Investor expectations of the corporations potential earning power o General business and economic conditions and prospects  Premium- the excess of the issue price of a stock over its par value  Treasury stock- a stock that a corporation has issued and then reacquired o Provide shares for resale to employees o Reissue as bonuses to employees o Support the market price of the stock  Cash Dividend- cash distribution of earnings by a corporation to its shareholders o Sufficient retained earnings o Sufficient cash o Formal action by the board of directors  Stock Dividend- a distribution of shares of stock to stockholders o does not change the the assets, liabilities, or total stockholder’s equity of a corporation  Stock Split- a process by which a corporation reduces the par or stated value of its common stock and issues a proportionate number of additional shares.  Earnings per share= Net income-preferred dividends/number of common shares outstanding  Ratio of liabilities to total assets= Total liabilities/total assets

Step 2 of 3

Chapter 5.1, Problem 71E is Solved
Step 3 of 3

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

Since the solution to 71E from 5.1 chapter was answered, more than 283 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: prove. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. The full step-by-step solution to problem: 71E from chapter: 5.1 was answered by , our top Math solution expert on 06/21/17, 07:45AM. The answer to “Prove that G(n) = 2n ? 4 for n ?4.” is broken down into a number of easy to follow steps, and 10 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7.

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Prove that G(n) = 2n 4 for n 4.