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

Question

3 years ago

15

th of a gram?

1 answer:

shepuryov [24] · Answer 1 · 2022-02-23T20:32:39+03:00

22.8 grams of element will be remaining after 7 minutes

Further explanation:

Given

$Mass\ of\ element=130g\\Percentage\ of\ reduction=22\%$

The element reduces (1-22%) in one minute.

The process will be repeated 7 times for 7 minutes

If we have to calculate the amount of element after 7 minutes

then the total reduction will be: (1-22%)^7

$Remaining\ amount=130*(1-22\%)^7\\=130*(1-0.22)^7\\=130*(0.78)^7\\=130*0.18\\=22.84g\\Rounding\ off\ to\ nearest\ tenth\\=22.8g$

22.8 grams of element will be remaining after 7 minutes

Keywords: Decay, Percentage

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