An element with mass 780 grams decays by 17.1% per minute. How much of the element is remaining after 19 minutes to the nearest

Question

Fed [463]

3 years ago

10

An element with mass 780 grams decays by 17.1% per minute. How much of the element is remaining after 19 minutes to the nearest

10th of a gram

Mathematics

1 answer:

Anit [1.1K] · Answer 1 · 2022-05-06T18:05:46+03:00

Anit [1.1K]3 years ago

6 0

Step 1
Formulate a recursive sequence modeling the number of grams after n minutes.
we have that
100%-17.1%-------------- > 82.9%------------> 0.829

a(n) = 780*[0.829<span>^n]
</span>
for n=19 minutes
a(19)=780*[0.829^(19)]=22.1121 g---------------> 22.1 g

the answer is 22.1 g