An element with mass 140 grams decays by 21.6% per minute. How much of the element is remaining after 20 minutes, to the nearest 10th of a gram?

The mass of the element after 20 minutes can be calculated by subtracting 21.6% of its original mass from the initial value each minute for 20 minutes. In this case, the original mass is 140 grams and 21.6% of 140 grams is 30.24 grams; therefore, after one minute, 109.76 g (140 – 30.24) will remain of the element’s initial weight. After two minutes, 79.52 g (109.76 -30.24) will remain and so forth until all 20 minutes have elapsed.

An element with mass 140 grams decays by 21.6% per minute. How much of the element is remaining after 20 minutes, to the nearest 10th of a gram?

Using this method, it can be determined that 35.2 g (109.76 – 74.56) will remain at the end of 20 minutes:

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