Suppose a sample of a certain substance decayed to 69.4% of its original amount after 300 days. (Round your answers to two decimal places.) (a) What is the half-life (in days) of this substance

The half-life of this substance is of 569.27 days.

Step-by-step explanation:

Amount of a substance after t days:

The amount of a substance after t days is given by:

In which P(0) is the initial amount and k is the decay rate, as a decimal.

Suppose a sample of a certain substance decayed to 69.4% of its original amount after 300 days.

This means that . We use this to find k.

So

What is the half-life (in days) of this substance?

This is t for which P(t) = 0.5P(0). So

The half-life of this substance is of 569.27 days.

a² + b²= c²

24² + 7² = c²

c= 25

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