Question

use the aleks calculator to evaluate each expression. round your answers to the nearest thousandth. do not round any intermediate computations.

$e^{-0.2}=\square$

$215e^{0.55}=\square$

Explanation:

Step1: Calculate \(e^{-0.2}\)

Using the formula \(y = e^x\), where \(x=-0.2\).

$$e^{-0.2}=\frac{1}{e^{0.2}}\approx0.8187307530779818$$

Rounding to the nearest thousandth: \(0.819\)

Step2: Calculate \(215e^{0.55}\)

First, find \(e^{0.55}\approx1.733270618922196\)
Then multiply by \(215\): \(215\times1.733270618922196 = 372.65318306827214\)
Rounding to the nearest thousandth: \(372.653\)

Answer:

\(e^{-0.2}\approx0.819\)
\(215e^{0.55}\approx372.653\)