Answer
$\$ 9513.28$
Work Step by Step
Consider the Compound Interest Formula:
$A=P\cdot(1+\dfrac{r}{n})^{n\cdot t} (1)$
Where $P$ is the principal invested at an annual interest rate $r$, $n$ represents the number of times the interest is compounded annually, and $A$ is the amount after $t$ years.
Here we have: $r=5\%=0.05 \\ A=\$ 10000$
and $n=12, t=1 \ year$
Plug the above data into formula (1) to obtain:
$P=\dfrac{10000}{(1+\dfrac{0.05}{12})^{(12)(1)}}= \$ 9513.28$
