A Population Is Modeled by the Differential Equation $\frac { d P } { d t } = 1.4 P \left( 1 - \frac { P } { 4560 } \right)$

question 27

Multiple Choice

A population is modeled by the differential equation. $\frac { d P } { d t } = 1.4 P \left( 1 - \frac { P } { 4560 } \right)$ For what values of $P$ is the population increasing?

• A) \(P > 1.4\)
• B) \(P > 4560\)
• C) \(P < 4580\)
• D) \(0 < P < 4560\)
• E) \(0 < P < 1.4\)

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Definitions:

Return On Equity

A measure of a corporation's profitability that calculates how much profit a company generates with the money shareholders have invested.

Equity Multiplier Ratio

A financial ratio indicating the proportion of a company's total assets that are financed by shareholders' equity.

Total Assets

The total of all current and non-current assets that a company possesses.

Total Equity

The total net value of a company, calculated by deducting total liabilities from total assets; also known as shareholders' equity.