Let's simplify the mathematical expression step-by-step:
Given expression:
[tex]\[
(200 - 100) \div 4 + 5
\][/tex]
1. Calculate the expression inside the parentheses first:
[tex]\[
200 - 100 = 100
\][/tex]
2. Next, perform the division:
[tex]\[
100 \div 4 = 25
\][/tex]
3. Finally, add 5 to the result:
[tex]\[
25 + 5 = 30
\][/tex]
Therefore, the simplified value of the expression [tex]\( (200 - 100) \div 4 + 5 \)[/tex] is [tex]\(\boxed{30}\)[/tex].
Among the given choices, the correct answer is:
C. 30