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Mathematics
Problem
Which one of the following expressions correctly gives the amount
A
(
t
)
A(t)
A
(
t
)
after
t
t
t
years when a principal
P
0
P_0
P
0
grows at a constant continuous interest rate
r
r
r
per annum? a)
A
(
t
)
=
P
0
e
r
t
100
A(t)=P_0 e^{\dfrac{r t}{100}}
A
(
t
)
=
P
0
e
100
r
t
b)
A
(
t
)
=
P
0
e
t
/
r
A(t)=P_0 e^{t/r}
A
(
t
)
=
P
0
e
t
/
r
c)
A
(
t
)
=
P
0
e
r
t
A(t)=P_0 e^{r t}
A
(
t
)
=
P
0
e
r
t
d)
A
(
t
)
=
P
0
(
1
+
r
)
t
A(t)=P_0(1+r)^t
A
(
t
)
=
P
0
(
1
+
r
)
t
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