Given:
Amount Nicole borrowed = $1100
Annual interest rate = 7%
Duration = 6 months
Let the amount of interest be x
The amount after t years can be calculated using the formula:
![\text{Amount = }P(1\text{ }+\text{ rt)}](https://img.qammunity.org/2023/formulas/mathematics/college/8gqeuele7xaksnlgkoppq1xq5rjhih2s8h.png)
The interest that she would pay can be calculated using the formula:
![\text{Interest = Amount - Principal}](https://img.qammunity.org/2023/formulas/mathematics/college/g7lro2y1cp31snit5z4d8ucs4gzhp8mf45.png)
The amount after 6 months is:
![\begin{gathered} \text{Amount = 1100(1 + 007 }*(6)/(12)) \\ =\text{ 1138.5} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/wkzrhllozfh1u7767cqbimsmgmcs86bnv4.png)
Hence, the interest:
![\begin{gathered} \text{Interest = 1138.5 - 1100} \\ =\text{ 38.5} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/9cwwxjvc33svp8dtcyxibd0mzw8glwpbs3.png)
Answer: $38.5