What is the value of 25 of `4 - 30 + (2^(2) + 18)` ?

Options

A. 37
B. 84
C. 92
D. 23

Answer

To solve the expression \( 25 \times (4 - 30 + (2^2 + 18)) \), we will follow the order of operations (parentheses, exponents, multiplication and division, addition and subtraction).

### Step-by-Step Solution:

1. **Calculate the exponent**:
\[ 2^2 = 4 \]
Now, substitute this back into the expression:
\[ 25 \times (4 - 30 + (4 + 18)) \]

2. **Simplify inside the parentheses**:
First, calculate \( 4 + 18 \):
\[ 4 + 18 = 22 \]
Now substitute this back into the expression:
\[ 25 \times (4 - 30 + 22) \]

3. **Perform the subtraction and addition inside the parentheses**:
First, calculate \( 4 - 30 \):
\[ 4 - 30 = -26 \]
Now add \( 22 \):
\[ -26 + 22 = -4 \]
Now substitute this back into the expression:
\[ 25 \times (-4) \]

4. **Multiply**:
\[ 25 \times (-4) = -100 \]

### Final Answer:
The value of the expression \( 25 \times (4 - 30 + (2^2 + 18)) \) is \(-100\).

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