Final answer:
The present value of $33,919.40 due in 3 years at an interest rate of 3% per year compounded continuously is $30,218.85.
Step-by-step explanation:
The present value of $33,919.40 due in 3 years at an interest rate of 3% per year compounded continuously can be calculated using the continuous compounding formula: PV = FV / e^(r*t), where PV is the present value, FV is the future value, r is the interest rate, and t is the time in years.
Plugging in the values, PV = $33,919.40 / e^(0.03 * 3) = $30,218.85.
Therefore, the present value of $33,919.40 due in 3 years at an interest rate of 3% per year compounded continuously is $30,218.85.