Answer
$PV=\$ 9,090.91$
Work Step by Step
The future value of an investment of $PV$ dollars at an annual simple interest rate of $r$ for a period of $t$ years is $FV=PV(1+rt)=PV+INT$ .
Given:
r = 0.02 (2$\%$ per year),
FV= 10,000,
t = 5 (years),
we solve $FV=PV(1+rt)$ for PV:
(divide both sides by (1+rt) )
$ PV=\displaystyle \frac{FV}{(1+rt)}=\frac{10000}{1+(0.02)\cdot 5}\approx$9090.90909091,
rounded to the nearest cent: $PV=\$ 9,090.91$