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mindygallardo · Oct 12, 2010, 10:37 AM

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.

Unknown008 · Oct 12, 2010, 11:11 AM

I assume you mean:

$C_t = A(0.999567)^t$

Do some calculation.

Let C be the initial amount of Radium.

$C = A$

When C halves, we get:

$C' = A(0.999567)^t$

Where:

$C' = \frac{C}{2}$

Replacing back, we get:

$\frac{C}{2} = \frac{A}{2} = A(0.999567)^t$

Therefore;

$\frac12 = (0.999567)^t$

Find the value of t.

Post what you get! :)