Asked by Donna Mowell on May 06, 2024
Verified
Evaluate the function as indicated. Round your answer to three decimal places. g(x) =100e−0.5xx=8\begin{aligned}g ( x ) & = 100 e ^ { - 0.5 x } \\x & = 8\end{aligned}g(x) x=100e−0.5x=8
A) -1087.313
B) 1.832
C) 5459.815
D) 1.593
E) -485.225
Three Decimal Places
Refers to numbers that are rounded or precise to the third digit after the decimal point.
\(100e^{-0.5x}\)
This represents an exponential expression used in various mathematical and scientific calculations.
- Master the concept of exponential growth and decay.
Verified Answer
TC
Tiffany ChengMay 08, 2024
Final Answer :
B
Explanation :
To evaluate the function g(x)=100e−0.5xg(x) = 100e^{-0.5x}g(x)=100e−0.5x at x=8x = 8x=8 , substitute xxx with 8: g(8)=100e−0.5(8)=100e−4g(8) = 100e^{-0.5(8)} = 100e^{-4}g(8)=100e−0.5(8)=100e−4 . Calculating this gives approximately 1.832 when rounded to three decimal places.
Learning Objectives
- Master the concept of exponential growth and decay.