Find the approximate value of (?) in the following questions.
41.99% of 2299 - 45.03% of 1400.056 - 11.98 = `(?)^(2)`

Options

A. 13
B. 11
C. 18
D. 19

Answer

To find the approximate value of (?) in the equation \( 41.99\% \text{ of } 2299 - 45.03\% \text{ of } 1400.056 - 11.98 = (?)^2 \), we will follow these steps:

### Step 1: Convert percentages to approximate values
We can round the percentages to make calculations easier:
- \( 41.99\% \) can be approximated to \( 42\% \)
- \( 45.03\% \) can be approximated to \( 45\% \)

### Step 2: Calculate the approximate values
Now, we will calculate the approximate values:
- \( 42\% \text{ of } 2299 \) can be calculated as:
\[ \frac{42}{100} \times 2299 \approx 0.42 \times 2300 = 966 \]
- \( 45\% \text{ of } 1400.056 \) can be calculated as:
\[ \frac{45}{100} \times 1400 \approx 0.45 \times 1400 = 630 \]

### Step 3: Substitute the values into the equation
Now we substitute the calculated values into the equation:
\[ 966 - 630 - 12 = (?)^2 \]

### Step 4: Simplify the expression
Now, we will simplify the left side:
\[ 966 - 630 = 336 \]
Then we subtract \( 12 \):
\[ 336 - 12 = 324 \]

### Step 5: Set the equation
Now we have:
\[ 324 = (?)^2 \]

### Step 6: Solve for (?)
To find (?), we take the square root of both sides:
\[ ? = \sqrt{324} = 18 \]

### Final Answer
Thus, the approximate value of (?) is \( 18 \).

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