To calculate Rachel's annual homeowners insurance premium, we'll use the rate of $0.43 per $100 of the home's value.
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Determine the number of hundreds in the home's value: \[ \text{Home's value} = 387,500 \] To find the number of hundreds, divide the home's value by 100: \[ \text{Number of hundreds} = \frac{387,500}{100} = 3,875 \]
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Calculate the premium: Now, multiply the number of hundreds by the cost per hundred: \[ \text{Premium} = 3,875 \times 0.43 = 1,666.25 \]
So, Rachel's annual homeowners insurance premium is \( \boxed{1,666.25} \).
Thus, the correct answer is (a) $1,666.25.