Answer
$\$ 572.34$.
Work Step by Step
The amount $A_{f}$ of an annuity consisting of
$n$ regular equal payments of size $R$
with interest rate $i$ per time period
is given by $\displaystyle \quad A_{f}=R\frac{(1+i)^{n}-1}{i}$
-----------
Solving for R, multiply both sides with $\displaystyle \frac{i}{(1+i)^{n}-1}$
$R =\displaystyle \frac{iA_{f}}{(1+i)^{n}-1}$
We are given
$A_{f}=5000$,
(quarterly), $n=4\cdot 2=8$,
(quarterly), $i=\displaystyle \frac{0.10}{4}=0.025$.
$R =\displaystyle \frac{(0.025)(5000)}{(1.025)^{8}-1}=\$ 572.34$.
