The general formula for simple interest I is;
[tex]I\text{ }=\frac{P\times R\times T}{100}[/tex]Where;
I = the simple interest
P = Principal (in this case the initial deposit)
R = Rate per year
T = Time in years
For the given question, we are given the following;
[tex]\begin{gathered} \text{ P }=\text{ \$}4000 \\ R\text{ = 5\%} \\ T\text{ = 6 years} \end{gathered}[/tex]So, substituting the given into the general formula for simple interest, we have;
[tex]\begin{gathered} I=\frac{4000\times5\times6}{100}=\frac{120,000}{100} \\ I=\text{ \$1,200} \end{gathered}[/tex]Therefore, the interest she would be paid after 6 years is $1,200