At the end of the first full month the interest acquires is $ 1.30.
Explanation:
Since we are looking for the interest for full month, we have to divide the APR by 12.
Because APR is the interest amount for the full year.
So 3.75 % = 3.75/100 = 0.0375
Now multiplying, we will get
415 × 0.0375/12 = $ 1.30