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

question 13

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) \(\frac { d A } { d t } = 0.20 A , \quad A ( 0 ) = 2,000\)

---

Definitions:

Routine Replies

Standard responses to common inquiries or situations, often used in customer service and communication protocols.

Indirect Approach

A communication strategy that presents supporting details first, leading up to the main point or request, often used to soften the impact of negative news.

Main Idea

The central or most important thought, concept, or argument that is being conveyed in a text or discourse.

Request For Action

A directive or plea issued to prompt someone to take a specific action or make a decision.