$18,827
$
⁢
18,827
is invested, part at
13%
13
%
and the rest at
9%
9
%
. If the interest earned from the amount invested at
13%
13
%
exceeds the interest earned from the amount invested at
9%
9
%
by
$1063.71
$
⁢
1063.71
, how much is invested at each rate? (Round to two decimal places if necessary.)