A Sum Of $\$ 2,000$ Is Invested At $20 \%$ Interest If $A ( t )$

question 34

Multiple Choice

A sum of $\$ 2,000$ is invested at $20 \%$ interest. If $A ( t )$ is the amount of the investment at time $t$ for the case of continuous compounding, write a differential equation and an initial condition satisfied by $A ( t )$ .

• A) \(\frac { d A } { d t } = 20 A , \quad A ( 0 ) = 3,000\)
• B) \(\frac { d A } { d t } = 1,500 A , \quad A ( 0 ) = 2,000\)
• C) \(\frac { d A } { d t } = 0.20 A , A ( 0 ) = 200\)
• D) \(\frac { d A } { d t } = 0.20 A ( 0 ) , \quad A ( 0 ) = 2,000\)
• E) \(\frac { d A } { d t } = 0.20 A , \quad A ( 0 ) = 2,000\)

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Definitions:

Tolerance for Ambiguity

An individual's ability to remain comfortable and composed when faced with unclear, uncertain, or indefinite situations.

Authoritarian Personality

A personality type characterized by a strong adherence to authority, conformity to established norms, and a preference for order and tradition over personal autonomy.

Right-Wing Authoritarianism

A personality and ideological framework characterized by a tendency to submit to authorities, adhere to societal conventions, and aggress against those who dissent or differ.

Uncritical Acceptance

The tendency to believe or accept something without questioning or evaluating it critically.