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Umnica [9.8K]
3 years ago
7

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?
Mathematics
2 answers:
balandron [24]3 years ago
8 0
The answer to this question is 1.1 grams
Salsk061 [2.6K]3 years ago
3 0

Answer:The mass of the remaining element = 1.1 grams .

Step-by-step explanation:

Exponential equation of decay : y=A(1-r)^x  ... (i), where A = initial value , r= rate of decay in decimal , x= time.

As per given : Initial mass : A= 140 grams

Rate of decay : r= 21.6% per minute= 0.216 per minute.

x= 20  minutes

Substitute values in (i) , we get

y=140(1-0.216)^{20}\\\\=140(0.784)^{20}=1.0775794222\approx1.1\text{ gram}

Hence, the mass of the remaining element = 1.1 grams .

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