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

use the aleks calculator to evaluate each expression. round your answers to the nearest thousandth. do not round any intermediate computations.\n$e^{-0.2}=$\n$245e^{0.15}=$

use the aleks calculator to evaluate each expression. round your answers to the nearest thousandth. do not round any intermediate computations.\n$e^{-0.2}=$\n$245e^{0.15}=$

Answer

Explanation:

Step1: Evaluate $e^{- 0.2}$

Use the exponential - function property. The value of the exponential function $y = e^{x}$ can be calculated using a calculator. When $x=-0.2$, we have $e^{-0.2}=\frac{1}{e^{0.2}}$. Using a calculator, $e^{-0.2}\approx0.81873$. Rounding to the nearest thousandth, $e^{-0.2}\approx0.819$.

Step2: Evaluate $245e^{0.15}$

First, find the value of $e^{0.15}$ using a calculator. $e^{0.15}\approx1.161834$. Then multiply by 245: $245\times e^{0.15}=245\times1.161834 = 284.64933$. Rounding to the nearest thousandth, $245e^{0.15}\approx284.649$.

Answer:

$e^{-0.2}\approx0.819$ $245e^{0.15}\approx284.649$