Respuesta :

Given data:

The given principal is P=$5,000.

The given simple interest is S I = $250.

The given time is t=11 months =11/12 year.

The expression for the simple interest is,

[tex]SI=\frac{P\times r\times t}{100}[/tex]

Substitute the given values in the above expression.

[tex]\begin{gathered} 250\text{=}\frac{5,000\times r\times11}{12\times100} \\ 300000=55000r \\ r=5.45\text{ percent} \\ \approx5\text{ percent} \end{gathered}[/tex]

Thus, the rate of interest is 5% annually.