An element with mass 130 grams decays by 22% per minute. How much of the the element is remaining after 7 minutes, to the nearest 10th of a gram?

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An element with mass 130 grams decays by 22% per minute. How much of the the element is remaining after 7 minutes, to the nearest 10th of a gram?

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Answer 1 · 2018-06-19T06:23:44

#22.8 color(white)(l) "g"#

Explanation:

The sample decays by #22%# each minute, indicating that the mass at the beginning of the next minute would be #1-22%=78%# the mass at the beginning of this minute.

This process repeats for seven times in the #7 color(white)(l) "minutes"#. That is

#130 color(white)(l) "g" xx (1-22%)^7=22.8 color(white)(l) "g"#

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An element with mass 130 grams decays by 22% per minute. How much of the the element is remaining after 7 minutes, to the nearest 10th of a gram?

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