A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are 170 milligrams of the material present and if after two years, it is observed that 10% of the original mass has decayed, find (a) an expression for the mass at any time t and (b) the time necessary for 35% of the original mass to have decayed.

Intermediate Algebra
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ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter10: Exponential And Logarithmic Functions
Section10.5: Solve Exponential And Logarithmic Equations
Problem 10.88TI: Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours...
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A certain radioactive material is known to decay at a rate proportional to the amount
present. If initially there are 170 milligrams of the material present and if after two years, it
is observed that 10% of the original mass has decayed, find (a) an expression for the mass
at any time t and (b) the time necessary for 35% of the original mass to have decayed.
Transcribed Image Text:A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there are 170 milligrams of the material present and if after two years, it is observed that 10% of the original mass has decayed, find (a) an expression for the mass at any time t and (b) the time necessary for 35% of the original mass to have decayed.
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