Questions: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. Do not round any intermediate computations. 325 e^(-0.95)= e^(0.4)=

Use the ALEKS calculator to evaluate each expression.
Round your answers to the nearest thousandth.
Do not round any intermediate computations.
325 e^(-0.95)=
e^(0.4)=

Transcript text: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest thousandth. Do not round any intermediate computations. \[ \begin{array}{r} 325 e^{-0.95}=\square \\ e^{0.4}=\square \end{array} \]

Solution

Solution Steps

Step 1: Evaluate \(325 \times e^{-0.95}\)

To solve \(325 \times e^{-0.95}\), we first calculate \(e^{-0.95}\).

\[ e^{-0.95} \approx 0.386741 \]

Then, multiply by 325:

\[ 325 \times 0.386741 \approx 125.6908 \]

Step 2: Round to the Nearest Thousandth

Round the result to the nearest thousandth:

\[ 125.6908 \approx 125.691 \]

Step 3: Evaluate \(e^{0.4}\)

Calculate \(e^{0.4}\):

\[ e^{0.4} \approx 1.4918 \]

Step 4: Round to the Nearest Thousandth

Round the result to the nearest thousandth:

\[ 1.4918 \approx 1.492 \]

Final Answer

\[ 325 \times e^{-0.95} = \boxed{125.691} \]

\[ e^{0.4} = \boxed{1.492} \]

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