Answer
$PV=\$ 4,878.05$
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.$10$ ($ 10\%$ per year),
FV= 5,000,
t = 0.25 (3 months =$\displaystyle \frac{3}{12}=\frac{1}{4}$ years),
we solve $FV=PV(1+rt)$ for PV:
(divide both sides by (1+rt) )
$ PV=\displaystyle \frac{FV}{(1+rt)}=\frac{5000}{1+(0.1)\cdot 0.25}\approx$4878.04878049...
rounded to the nearest cent: $PV=\$ 4,878.05$
