What approximate value should come in the place of questions (?) mark.
`647.89 + ?^(4) = (30.99)^(2) - 18.99% "of 300.01"`

Options

A. 2
B. 4
C. 6
D. 8

Answer

To solve the equation \( 647.89 + ?^4 = (30.99)^2 - 18.99\% \text{ of } 300.01 \), we will follow these steps:

### Step 1: Approximate the values
First, we approximate the numbers involved in the equation:
- \( 647.89 \approx 648 \)
- \( 30.99 \approx 31 \)
- \( 300.01 \approx 300 \)

### Step 2: Calculate \( (30.99)^2 \)
Now, we calculate \( (31)^2 \):
\[ (31)^2 = 961 \]

### Step 3: Calculate \( 18.99\% \text{ of } 300 \)
Next, we need to find \( 18.99\% \text{ of } 300 \):
\[ 18.99\% \text{ of } 300 = \frac{19}{100} \times 300 = 19 \times 3 = 57 \]

### Step 4: Substitute and simplify the equation
Now we substitute these values back into the equation:
\[ 648 + ?^4 = 961 - 57 \]

Calculating the right side:
\[ 961 - 57 = 904 \]

### Step 5: Rearrange the equation
Now we rearrange the equation to isolate \( ?^4 \):
\[ ?^4 = 904 - 648 \]
\[ ?^4 = 256 \]

### Step 6: Solve for \( ? \)
Now we find the fourth root of 256:
\[ ? = 4 \quad (\text{since } 4^4 = 256) \]

Thus, the approximate value that should come in place of the question mark is \( 4 \).

### Final Answer
The answer is \( 4 \).

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