To solve the expression \(75 \cdot 78.5 - 34 \cdot 624 + 9 \cdot 83\), follow these steps:
1. Calculate the product of the first term:
[tex]\[
75 \cdot 78.5 = 5887.5
\][/tex]
2. Calculate the product of the second term:
[tex]\[
34 \cdot 624 = 21216
\][/tex]
3. Calculate the product of the third term:
[tex]\[
9 \cdot 83 = 747
\][/tex]
4. Combine all terms in the expression:
[tex]\[
5887.5 - 21216 + 747
\][/tex]
5. Perform the subtraction and addition in the sequence from left to right:
[tex]\[
5887.5 - 21216 = -15328.5
\][/tex]
[tex]\[
-15328.5 + 747 = -14581.5
\][/tex]
6. Round the final result to two decimal places (if necessary):
[tex]\[
-14581.5
\][/tex]
Therefore, the evaluated and rounded result of the expression [tex]\(75 \cdot 78.5 - 34 \cdot 624 + 9 \cdot 83\)[/tex] is [tex]\(-14581.5\)[/tex], and none of the given options (A, B, C, D) match the correct answer.
