Answer
$\$2390.27$
Work Step by Step
To calculate the amount $R$ to be invested each quarter we will use the formula:
$$A_f=R\dfrac{(1+i)^n-1}{i},$$
where $A_f=10,000$, $n=4$ and $i=0.12/4=0.03$.
Calculate $R$:
$$\begin{align*}
10,000&=R\dfrac{(1+0.03)^{4}-1}{0.03}\\
10,000&\approx R(4.183627)\\
R&=\dfrac{10000}{4.183627}\approx 2390.27.
\end{align*}$$
