She took a 45.5% loss on the investment
Explanation:Parameters:
Initial value = $16,000
Final value = $11,000
Clearly, she has sold shares at a lower price to how she bought, so we should expect a loss.
[tex]\begin{gathered} \frac{Final-Initial}{Final}\times100 \\ \\ =\frac{11000-16000}{11000}\times100 \\ \\ =\frac{-5000}{11000}\times100 \\ \\ =\frac{-5}{11}\times100 \\ \\ =-45.5 \end{gathered}[/tex]She took a 45.5% loss on the investment