Answer
(a) $4176.35,\ \ \ 3704.09$
(b) $ 3594.62,\ \ \ 2884.75$
Work Step by Step
'(a) Since $$ P V=P e^{-r t}$$
Here $r= 0.06$, then for $t=3 $,
\begin{align*}
P V&=P e^{-r t}\\
&=5000e^{-0.06(3)}\\
&\approx 4176.35
\end{align*}
and for $t= 5$
\begin{align*}
P V&=P e^{-r t}\\
&=5000 \cdot e^{-0.06(5)}\\
& \approx 3704.09
\end{align*}
(b) $r=0.11$, so for $t=3 $
\begin{align*}
P V&=P e^{-r t}\\
&=5000 e^{-0.11(3)}\\
& \approx 3594.62
\end{align*}
and for $t=5 $
\begin{align*}
P V&=P e^{-r t}\\
&=5000 e^{-0.11 ( 5)} \\
&\approx 2884.75
\end{align*}
