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Use the model below to answer the following questions y(t) = a × e kt where...

Use the model below to answer the following questions y(t) = a × e kt where y(t) is the value at time t, a is the start value, k is the rate of growth (> 0), or decay (< 0), t is the time.

The half-life of radium−226 is 1590 years, Suppose there are 52 mg radium−226 at the beginning

(1) Find the mass after 1000 years correct to the nearest milligram.

(2) When will the mass be reduced to 30 mg?

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