If 25% of a radioactive substance disappeared in 10 years, how long did it take for 60% of the substance to disappear? How many % disappeared in 5 years?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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III. Solve the following problems completely:
1. If 25% of a radioactive substance disappeared in 10 years, how long did it take for 60% of
the substance to disappear? How many % disappeared in 5 years?
2. Initially, 22.73 kg. of salt is dissolved in a large tank holding 300 gallons of water. A brine
solution is pumped into the tank at a rate of 3 gallons per minute and well-stirred solution is
then pumped out at the same rate. If the concentration of the solution entering is 1/10 pounds
per gallon, determine the amount of salt in the tank at the end of 1 and a half hour.
Transcribed Image Text:III. Solve the following problems completely: 1. If 25% of a radioactive substance disappeared in 10 years, how long did it take for 60% of the substance to disappear? How many % disappeared in 5 years? 2. Initially, 22.73 kg. of salt is dissolved in a large tank holding 300 gallons of water. A brine solution is pumped into the tank at a rate of 3 gallons per minute and well-stirred solution is then pumped out at the same rate. If the concentration of the solution entering is 1/10 pounds per gallon, determine the amount of salt in the tank at the end of 1 and a half hour.
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