If P Dollars Are Invested at an Annual Rate of R

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) $\frac { P \left( 1 + \frac { r } { 100 } \right) ^ { t } } { \ln \left( 1 + \frac { r } { 100 } \right) }$