To multiply \(-9 \frac{1}{2}%\) by \(0.04\), we first convert \(-9 \frac{1}{2}%\) to a decimal.
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Convert the mixed number to an improper fraction: \[ -9 \frac{1}{2} = -\frac{19}{2} \]
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Convert the percentage to decimal: \[ -\frac{19}{2}% = -\frac{19}{2} \times \frac{1}{100} = -\frac{19}{200} \]
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Now, we multiply \(-\frac{19}{200}\) by \(0.04\): \[ 0.04 = \frac{4}{100} = \frac{1}{25} \] \[ -\frac{19}{200} \times \frac{1}{25} = -\frac{19 \times 1}{200 \times 25} = -\frac{19}{5000} \]
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Now we can calculate \(-\frac{19}{5000}\): \[ -\frac{19}{5000} = -0.0038 \]
So, the final answer is \(-0.038\).
Among the given options, the correct response is: negative 0.038 (or \(-0.038\)).