ANSWER :
The interest is $30.77
EXPLANATION :
The interest formula is :
![I=Prt](https://img.qammunity.org/2023/formulas/mathematics/high-school/a5nwangmzhq6g687nv4jxotr6htl4awojj.png)
where :
P = principal amount
r = rate of interest
t = time in years
From the problem, we have :
P = $400
r = 11.7% or 0.117
t = 240 days
Convert 240 days into years
![240days*(1yr)/(365days)=0.6575yrs](https://img.qammunity.org/2023/formulas/mathematics/college/cy3oz5mbd10msmjewp2pjxrzayodoikdfc.png)
Using the formula above :
![\begin{gathered} I=400(0.117)(0.6575) \\ I=30.77 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/dvobdv500wsbqjk34uv87kyxj32fhtxnvr.png)