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 three years it is observed that 8 percent of the original mass has decayed, find (a) an expression for the mass at any time t, (b) the time necessary for 20 percent of the original mass to have decayed, and (c) what is its half-life. NOTE: Half-life is the amount of time for the radioactive material to decay one-half of the original amount.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
icon
Related questions
Question

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 three years it is observed that 8 percent of the original mass has decayed, find (a) an expression for the mass at any time t, (b) the time necessary for 20 percent of the original mass to have decayed, and (c) what is its half-life. NOTE: Half-life is the amount of time for the radioactive material to decay one-half of the original amount.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax