To simplify the expression \( 34(1440) + 295.25 + (-33.50) \), we will 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 need to perform the addition and subtraction:
- First, add \( 48960 + 295.25 \):
\[ 48960 + 295.25 = 49255.25 \]
- Now, subtract \( 33.50 \) from \( 49255.25 \):
\[ 49255.25 - 33.50 = 49221.75 \]
Thus, the simplified answer is:
\[ \boxed{49221.75} \]
However, since your response options do not contain a matching number, you might want to check the provided options as they do not align with the calculations performed. Please verify any possible misinterpretation or provide additional context for accurate assistance.