Question

use the aleks calculator to evaluate each expression. round your answers to the nearest thousandth. do not round any intermediate computations.
150e^{0.3} =
e^{-0.15} =

Explanation:

Step1: Evaluate \( 150e^{0.3} \)

First, calculate \( e^{0.3} \). Using a calculator, \( e^{0.3} \approx 1.349858 \). Then multiply by 150: \( 150 \times 1.349858 = 202.4787 \). Rounding to the nearest thousandth, we get \( 202.479 \).

Step2: Evaluate \( e^{-0.15} \)

Calculate \( e^{-0.15} \). Using a calculator, \( e^{-0.15} \approx 0.860708 \). Rounding to the nearest thousandth, we get \( 0.861 \).

Answer:

\( 150e^{0.3} \approx \boxed{202.479} \)
\( e^{-0.15} \approx \boxed{0.861} \)