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The half-life of a radioactive element is five years. A scientist has 18 grams of the element. The equation
representing the number of grams, g, after x years is §. What is the annual rate of decay?
g=18(0.5)

Sagot :

facundo3141592

The annual rate of decay is r = 0.87

How to use the half-life?

We know that if a quantity has a half-life of T, then the rate of decay must be such that:

r^T = 0.5

This means that when a time T passes, the original quantity becomes half of what it originally was.

In this case we know that the half-life is T = 5 years, then we have:

r^5 = 0.5

r = 0.5^(1/5) = 0.87

Then the annual rate of decay is r = 0.87, and if the initial quantity is 18 grams, we can write the exponential decay as:

f(t) = 18g*(0.87)^t

If you want to learn more about exponential decays, you can read:

https://brainly.com/question/11464095

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