A Sum Of $\$ 5,000$ Is Invested At $20 \%$ Interest If $A ( t )$

question 3

Short Answer

A sum of $\$ 5,000$ 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 $A ( t )$ .

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Definitions:

Wilhelm Wundt

A German physiologist and psychologist who is recognized as the founder of experimental psychology and the first person to call himself a psychologist.

American Psychological Association

The largest scientific and professional organization of psychologists in the United States, dedicated to advancing psychology as a science, profession, and means of promoting health, education, and human welfare.

Mary Whiton Calkins

Mary Whiton Calkins was a pioneering American psychologist and philosopher, known for being the first female president of the American Psychological Association.

Positive Reinforcement

A technique in behavior modification that involves rewarding a desired behavior to increase the likelihood of its recurrence.