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:

Winding Up

The process of dissolving a company, involving settling debts, liquidating assets, and distributing the remaining funds to shareholders, if any.

Act of the Court

An action taken or an order made by a court of law.

Partnership Terminated

The ending or dissolution of a business partnership through various means, including mutual agreement, expiration of terms, or court order.

Limited Partnership

A partnership arrangement where at least one partner has limited liability to the extent of their investment in the business, while at least one other has unlimited liability.