The Value $A ( t , r )$ Of an Investment of $4,000 After T Years in an Investment

question 89

Multiple Choice

The value $A ( t , r )$ of an investment of $4,000 after t years in an account for which the interest rate 100r% is compounded continuously is given by the function $A ( t , r ) = 4,000 e ^ { r t }$ dollars. Write the partial derivative $\frac { \partial A } { \partial t }$

• A) \(\frac { \partial A } { \partial t } = 4,000 r e ^ { n t }\)
• B) \(\frac { \partial A } { \partial t } = 4,000 e ^ { rt }\)
• C) \(\frac { \partial A } { \partial t } = 4,000 t e ^ {rt }\)
• D) \(\frac { \partial A } { \partial t } = 4,000 r e ^ { r ( t - 1 ) }\)
• E) \(\frac { \partial A } { \partial t } = 4,000 r e ^ { t }\)

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Definitions:

Investing

The act of allocating resources, usually money, with the expectation of generating an income or profit.

Operating

Refers to the day-to-day activities and core functions directly related to a company's primary business operations, such as sales and service delivery.

Cost Concept

An accounting principle that states assets should be recorded at their cost at the time of acquisition.

Revaluing Assets

The process of adjusting the book value of a company's assets to their current market value.