`(15.96)^(2) + 75%` of 285 = ?

Options

A. 435
B. 485
C. 440
D. 470

Answer

To solve the expression \( (15.96)^2 + 75\% \text{ of } 285 \), we will break it down into two parts: calculating \( (15.96)^2 \) and finding \( 75\% \text{ of } 285 \).

### Step 1: Calculate \( (15.96)^2 \)

To find \( (15.96)^2 \):
\[ (15.96)^2 = 15.96 \times 15.96 \]

Calculating this:
\[ 15.96 \times 15.96 = 254.7216 \]

### Step 2: Calculate \( 75\% \text{ of } 285 \)

To find \( 75\% \text{ of } 285 \):
\[ 75\% = \frac{75}{100} = 0.75 \]
Now, calculate \( 0.75 \times 285 \):
\[ 0.75 \times 285 = 213.75 \]

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

Now, we add the results from the two calculations:
\[ 254.7216 + 213.75 \]

Calculating this sum:
\[ 254.7216 + 213.75 = 468.4716 \]

### Final Answer

Thus, the final result is:
\[ (15.96)^2 + 75\% \text{ of } 285 = 468.4716 \]

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