To simplify the expression \(34(1440) + 295.25 + (-33.50)\), we first calculate \(34(1440)\).
\[ 34 \times 1440 = 48960 \]
Now, we can substitute this value back into the expression:
\[ 48960 + 295.25 - 33.50 \]
Next, we perform the addition and subtraction in order:
- Start with \(48960 + 295.25\):
\[ 48960 + 295.25 = 49255.25 \]
- Now subtract \(33.50\):
\[ 49255.25 - 33.50 = 49221.75 \]
Thus, the simplified expression is:
\[ \boxed{49221.75} \]
None of the provided response options are correct based on the calculation. Please verify the original expression and the available options.