Suppose That a Population Grows According to a Logistic Model $k = 0.05$

question 21

Multiple Choice

Suppose that a population grows according to a logistic model with carrying capacity 7,000 and $k = 0.05$ per year. Choose the logistic differential equation for these data.

• A) \(\frac { d P ( t ) } { d t } = 7,000 P \left( 1 + \frac { p } { 0.05 } \right)\)
• B) \(\frac { d P ( t ) } { d t } = P \left( 1 + \frac { p } { 7,000 } \right)\)
• C) \(\frac { d P ( t ) } { d t } = 0.05 P \left( 1 + \frac { p } { 7,000 } \right)\)
• D) \(\frac { d P ( t ) } { d t } = 0.05 P \left( 1 + \frac { p } { 5 } \right)\)
• E) \(\frac { d P ( t ) } { d t } = 0.05 P \left( 1 - \frac { p } { 7,000 } \right)\)

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Definitions:

Cash Dividends

Payments made to shareholders out of a corporation's earnings in the form of cash.

Date Of Record

The specified date on which a company determines its shareholders of record to receive dividends or the beneficiaries of stock splits.

Preferred Stock

A class of ownership in a corporation that has a higher claim on its assets and earnings than common stock, often entitling holders to dividends before common shareholders.

Earnings Per Share

A financial metric that indicates the portion of a company's profit allocated to each outstanding share of common stock.