Evaluate the function as indicated. Round your answer to three decimal places. $=50e−0.1xx=−20\begin{aligned}g ( x ) & = 50 e ^ { - 0.1 x } \\x & = - 20\end{aligned}$

A) -6.767
B) 6.767
C) -904.837
D) 369.453
E) 210.588

Question

Evaluate the function as indicated. Round your answer to three decimal places.

=50e−0.1xx=−20\begin{aligned}g ( x ) & = 50 e ^ { - 0.1 x } \\x & = - 20\end{aligned}

A) -6.767
B) 6.767
C) -904.837
D) 369.453
E) 210.588

Wesly Laguerre · Accepted Answer

Final Answer : D, Explanation :   To evaluate   g ( x ) = 50 e − 0.1 x g(x) = 50e^{-0.1x} g ( x ) = 50 e − 0.1 x   at   x = − 20 x = -20 x = − 20  , substitute   − 20 -20 − 20   for   x x x  :   g ( − 20 ) = 50 e − 0.1 ( − 20 ) = 50 e 2 g(-20) = 50e^{-0.1(-20)} = 50e^{2} g ( − 20 ) = 50 e − 0.1 ( − 20 ) = 50 e 2  . Using a calculator,   e 2 ≈ 7.389 e^{2} \approx 7.389 e 2 ≈ 7.389  , so   50 × 7.389 = 369.45 50 	imes 7.389 = 369.45 50 × 7.389 = 369.45  , rounded to three decimal places gives   369.453 369.453 369.453  .

Evaluate the function as indicated. Round your answer to three decimal places. $=50e−0.1xx=−20\begin{aligned}g ( x ) & = 50 e ^ { - 0.1 x } \\x & = - 20\end{aligned}$

A) -6.767
B) 6.767
C) -904.837
D) 369.453
E) 210.588

Definitions

Learning Objectives

Learning Objectives

Related questions

Evaluate the function as indicated. Round your answer to three decimal places. g(x) =50e−0.1xx=−20\begin{aligned}g ( x ) & = 50 e ^ { - 0.1 x } \\x & = - 20\end{aligned}g(x) x​=50e−0.1x=−20​ A) -6.767B) 6.767C) -904.837D) 369.453E) 210.588

Definitions

Learning Objectives

Learning Objectives

Related questions

Evaluate the function as indicated. Round your answer to three decimal places. $=50e−0.1xx=−20\begin{aligned}g ( x ) & = 50 e ^ { - 0.1 x } \\x & = - 20\end{aligned}$

A) -6.767
B) 6.767
C) -904.837
D) 369.453
E) 210.588