The amount of radium 226 remaining in a sample that originally contained A grams is approximately C(t) = A(0.999 567)t. Where t is time in years find the half-life to the nearest 100 years

The half-life of the substance is of 1600 years.

Step-by-step explanation:

Amount of the substance:

The amount of the substance after t years is given by the following equation:

In which A is the initial amount.

Find the half-life:

This is t for which , that is, the amount is half the initial amount. So

The half-life of the substance is of 1600 years.

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