Final answer:
The present value of the note is $3061.57.
Step-by-step explanation:
The present value of a note can be calculated using the formula:
Present Value = Maturity Value / (1 + interest rate/number of periods)^number of periods
In this case, the maturity value of the note is $3275 and the interest rate is 7.75%.
Since the note is for seven months, the number of periods would be 7/12.
Substituting the values into the formula:
Present Value = 3275 / (1 + 0.0775/12)^(7/12)
Simplifying the expression:
Present Value = $3061.57S