If P Dollars Is Invested at an Annual Interest Rate $F = P \left( 1 + \frac { r } { 100 } \right) ^ { t }$

question 98

Multiple Choice

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

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

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