Radium decays exponentially; it has a half-life of 1,600 years. Find a formula for the amount, q(t), remaining from 70 mg of pure radium after t years. q(t) = After how many years will there be 10 mg left? (Round your answer to the nearest year.) yr

4492 years  (to the nearest year)

Step-by-step explanation:

The quantity of radium left after a time t can be modeled using the equation below:

Given that:

The amount of radium left after a t years is:

If the quantity left is 10 mg, then:

Changing to logarithm form

In 4492 years, 10 mg of Radium will be left.

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