If P Dollars Are Invested at an Annual Rate of R

question 37

Multiple Choice

If P dollars are invested at an annual rate of r%, then in t years this investment grows to F dollars, where $F = P \left( 1 + \frac { r } { 100 } \right) ^ { t }$ .Assuming P and r are constant, find $\frac { d F } { d t }$ .

• A) \(P \left( 1 + \frac { r } { 100 } \right) ^ { t }\)
• B) \(P t \left( 1 + \frac { r } { 100 } \right) ^ { t - 1 }\)
• C) \(P \left( 1 + \frac { r } { 100 } \right) ^ { t } \ln \left( 1 + \frac { r } { 100 } \right)\)
• D) \(\frac { P \left( 1 + \frac { r } { 100 } \right) ^ { t } } { \ln \left( 1 + \frac { r } { 100 } \right) }\)

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Definitions:

Indirect Benefits

Advantages or gains that occur as a secondary effect of an action, activity, or policy, often not immediately apparent.

State-Supported Company

A business that receives special advantages, funding, or backing from the government.

Indirect Benefits

Advantages or gains not directly attributed to a particular action or investment but occurring as a secondary effect.

Stocks Or Bonds

Financial instruments that represent ownership in companies (stocks) or debt obligations (bonds) issued by corporations or governments.