Question

approximate the following number using a calculator. ( 137e^{0.024(8)} ) ( 137e^{0.024(8)} approx square ) (round to three decimal places as needed.)

Explanation:

Step1: Calculate the exponent part

First, calculate the value of the exponent \(0.024\times8\).
\(0.024\times8 = 0.192\)

Step2: Calculate the exponential function

Next, find the value of \(e^{0.192}\). Using a calculator, \(e^{0.192}\approx1.211707\)

Step3: Multiply by 137

Then, multiply this result by 137.
\(137\times1.211707 = 137\times1.211707\approx166.003859\)

Step4: Round to three decimal places

Finally, round the result to three decimal places.
\(166.003859\approx166.004\)

Answer:

\(166.004\)