To determine how much Sarah is paying per $100 in homeowners insurance annually, we need to follow these steps:
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First, calculate her annual insurance cost by multiplying her monthly payment by 12: \[ 48.00 \text{ per month} \times 12 \text{ months} = 576.00 \text{ annually} \]
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Next, determine how many hundreds of dollars are in the value of her home. Since her house is valued at $223,050, we divide this by 100: \[ \frac{223,050}{100} = 2,230.50 \]
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Now, divide the annual insurance cost by the number of hundreds of dollars in the home's value: \[ \frac{576.00}{2,230.50} \approx 0.258 \]
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To express this in the context of per $100, we find that she pays approximately $0.26 per $100.
Thus, the answer is: b. $0.26