Approximate the Number Using a Calculator $f ( x ) = 500 ( 0.5 ) ^ { x / 100 }$

question 186

Multiple Choice

Approximate the number using a calculator. Round your answer to three decimal places.
-The function $f ( x ) = 500 ( 0.5 ) ^ { x / 100 }$ models the amount in pounds of a particular radioactive material stored in a concrete vault, where $x$ is the number of years since the material was put into the vault. Find the amount of radioactive material in the vault after 140 years. Round to the nearest whole number.

• A) 189 pounds
• B) 305 pounds
• C) 350 pounds
• D) 179 pounds

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Definitions:

Friedrich Engels

A 19th-century German philosopher, social scientist, and co-author with Karl Marx of various works, including "The Communist Manifesto," known for his contributions to Marxist theory.

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Intellectuals of the Enlightenment period who advocated for reason, science, and secularism as the paths to knowledge, freedom, and progress.

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