Find the approximate value of (?) in the following questions.
62.5% of 999.9 + `(4.99)^(2) = (?) xx 25.956`

Options

A. 15
B. 25
C. 45
D. 55

Answer

To solve the equation \( 62.5\% \text{ of } 999.9 + (4.99)^2 = (?) \times 25.956 \), we will follow these steps:

### Step 1: Calculate \( 62.5\% \text{ of } 999.9 \)

To find \( 62.5\% \) of \( 999.9 \), we can convert the percentage to a decimal and multiply:

\[ 62.5\% = \frac{62.5}{100} = 0.625 \]

Now, calculate:

\[ 0.625 \times 999.9 \approx 625 \]

### Step 2: Calculate \( (4.99)^2 \)

Next, we calculate \( (4.99)^2 \):

\[ (4.99)^2 \approx 24.9001 \approx 25 \quad \text{(for approximation)} \]

### Step 3: Add the results from Step 1 and Step 2

Now, we add the results from Step 1 and Step 2:

\[ 625 + 25 = 650 \]

### Step 4: Set up the equation

Now we have:

\[ 650 = (?) \times 25.956 \]

### Step 5: Solve for \( ? \)

To find \( ? \), we divide both sides by \( 25.956 \):

\[ ? = \frac{650}{25.956} \approx 25 \]

### Final Answer

Thus, the approximate value of \( ? \) is:

\[ ? \approx 25 \]