Radium decomposes in air at a rate proportional to its current concentration. If there are 20 grams at the start, and after 10 years, 0.6 percent of the original amount has decomposed: Set a model that will predict the amount of radium at any t. What is the half life of the radium? What is the amount remaining in 900 years?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.6: Modeling With Exponential Functions
Problem 20E
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Draw a free body diagram of the following  APPLICATION OF HIGHER ORDER LDE (Growth and Decay) 

 

Radium decomposes in air at a rate proportional to its current concentration. If there are 20 grams at the start, and after 10 years, 0.6 percent of the original amount has decomposed:

  1. Set a model that will predict the amount of radium at any t.
  2. What is the half life of the radium?
  3. What is the amount remaining in 900 years?
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