`276.75+4% "of" 678+sqrt(0.0169)=?`

Options

A. 304
B. 124
C. 122
D. 228

Explanation

To solve the expression \( 276.75 + 4\% \text{ of } 678 + \sqrt{0.0169} \), we will break it down into steps.

### Step 1: Calculate \( 4\% \text{ of } 678 \)

To find \( 4\% \) of \( 678 \), we use the formula:
\[ 4\% \text{ of } 678 = \frac{4}{100} \times 678 \]

Calculating this:
\[ = \frac{4 \times 678}{100} = \frac{2712}{100} = 27.12 \]

### Step 2: Calculate \( \sqrt{0.0169} \)

Next, we find the square root of \( 0.0169 \):
\[ \sqrt{0.0169} = 0.13 \]

### Step 3: Add all the values together

Now, we add the three components together:
\[ 276.75 + 27.12 + 0.13 \]

Calculating this step by step:
1. First, add \( 276.75 + 27.12 \):
\[ 276.75 + 27.12 = 303.87 \]

2. Now, add \( 0.13 \):
\[ 303.87 + 0.13 = 304.00 \]

### Final Answer

Thus, the final result is:
\[ \boxed{304} \]