Question #293114

An element with mass 630 grams decays by 18.8% per minute. How much of the element is remaining after 7 minutes, to the nearest 10th of a gram?



1
Expert's answer
2022-02-02T16:19:18-0500

Rate, r=18.8%r=18.8\%

Time, t=7t=7

Initial mass, i=630i=630

To calculate the remaining element, we apply the formula, i(1r100)t=630(10.188)7=630×0.2328=146.6i(1-{r\over100})^t=630(1-0.188)^7=630\times 0.2328=146.6

Therefore, the remaining element after 7 minutes is 146.6 grams (to the nearest 10th of a gram).


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