Which one of the following expressions correctly gives the amount after years when a…

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Which one of the following expressions correctly gives the amount

A(t)

after

t

years when a principal

P_0

grows at a constant continuous interest rate

r

per annum? (a)

A(t)=P_0 e^{\dfrac{r t}{100}}

(b)

A(t)=P_0 e^{t/r}

(c)

A(t)=P_0 e^{r t}

(d)

A(t)=P_0(1+r)^t