Answer
$INT=\$ 225$
$FV=\$ 6,225$
Work Step by Step
The simple interest on an investment (or loan) of $PV$ dollars at an annual interest rate of $r$ for a period of $t$ years is
$INT=PVrt$.
We are given:
PV=$6,000$,
t=$\frac{5}{12}$ ( $5$ months = $\frac{5}{12} $year),
r=$0.09$ ($9$%).
Substitute into the formula:
$INT=6000(0.09)(\displaystyle \frac{5}{12})=225$ (dollars)
The future value of an investment of $PV$ dollars at an annual simple interest rate of $r$ for a period of $t$ years is $FV=PV(1+rt)=PV+INT$ .
Here, $FV=6,000+225=\$ 6,225$
