Solve the Problem $A ( x ) = 100 \mathrm { e } ^ { - 0.01828 x }$

question 261

Multiple Choice

Solve the problem.
-Suppose the amount of a radioactive element remaining in a sample of 100 milligrams after x years can be described by $A ( x ) = 100 \mathrm { e } ^ { - 0.01828 x }$ . How much is remaining after 50 years? Round the answer to the nearest hundredth of a milligram.

• A) \(91.40\) milligrams
• B) \(249.43\) milligrams
• C) \(0.40\) milligrams
• D) \(40.09\) milligrams

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Definitions:

Sequentially Played Game

A game in which players make decisions or moves one after another, in a specific sequence.

Nash Equilibrium

A concept in game theory where no player can benefit by changing strategies if other players keep theirs unchanged.

Sequential Game

A strategic game where players make decisions one after another, with later players having knowledge of the previous actions.

Equilibrium

A situation where market demand equals supply, causing price levels to remain unchanged.