Question
An element with mass 510 grams decays by 26.3% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?
Answers
Answer
The answer is 60.2
Answered by
GPT 3.5
Let $M$ be the mass of the element at any given time. After 7 minutes, $M$ has decayed to $M\cdot(1-0.263)^7 = M\cdot 0.737^7\approx M \cdot 0.268$, which is $510\cdot0.268\approx \boxed{136.7}$ grams.
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