A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 500 mg of the material is present and after 3 years 20 percent of the original mass has decayed, find (a) find an expression for the mass at any time t, and (b) determine the amount remaining after 25 years.

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A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 500 mg of the material is present and after 3 years 20 percent of the original mass has decayed, find (a) find an expression for the mass at any time t, and (b) determine the amount remaining after 25 years.
 
 
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