A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are 100 milligrams of the material present and if after two years it is observed that 5 percent of the original mass has decayed, Show (a) an expression for the mass at any time t and (b) the time necessary for 10 percent of the original mass to have decayed.

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A certain radioactive material is known to decay at a rate proportional to the amount present. If initially
there are 100 milligrams of the material present and if after two years it is observed that 5 percent of the
original mass has decayed, Show (a) an expression for the mass at any time t and (b) the time necessary
for 10 percent of the original mass to have decayed.

3. A certain radioactive material is known to decay at a rate proportional to the amount present. If initially
there are 100 milligrams of the material present and if after two years it is observed that 5 percent of the
original mass has decayed, Show (a) an expression for the mass at any time f and (b) the time necessary
for 10 percent of the original mass to have decayed.
Transcribed Image Text:3. A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are 100 milligrams of the material present and if after two years it is observed that 5 percent of the original mass has decayed, Show (a) an expression for the mass at any time f and (b) the time necessary for 10 percent of the original mass to have decayed.
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