Answer
6%
Work Step by Step
We know that Jack invests \$1000 at an unknown rate $r$ and \$2000 at $r+0.005$. The total interest earned is \$190:
$190=1000*r+2000*(r+0.005)$
We solve for $r$:
$190=1000*r+2000*r+10$
$180=3000*r$
$r=0.06$
Thus the interest rate was 6%.