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3 years ago

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An element with mass 640 grams decays by 7.3% per minute. How much of the element is remaining after 8 minutes, to the nearest 1

0th of a gram?

2 answers:

PIT_PIT [208]3 years ago

8 0

Answer: 349.0 gms.

Step-by-step explanation:

The exponential decay equation is given by :-

$y=A(1-r)^t$ , where A= Initial value , r = rate of decay in decimal and t is time.

As per given , we have

A= 640 gm

r= 7.3%=0.073

Then , our decay function will become :-

$y=640(1-0.073)^t\\\\\Rightarrow\ y=640(0.927)^8$

At t= 8 minutes, we have

$y=640(0.927)^8= 348.993908894\approx349.0$

Hence, after 8 minutes , the remaining amount of element = 349.0 gms.

Alborosie3 years ago

7 0

Answer:

349.0 grams to nearest tenth

Step-by-step explanation:

After each minute there will be (100- 7.3) = 92.7 % ( or 0.927) of the element left.

Therefore after 8 minutes amount left = 640*0.927^8

= 349.0 grams answer

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Solving (c): $\lim_{t \to \infty} P(t)$

In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of $e^{-ct}$ decreases

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$P(\infty) = \frac{1200}{1 + 0}$

$P(\infty) = \frac{1200}{1}$

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