A sample of 400 g of radioactive lead-210 decays to polonium-210 according to the function A(t) = 400 e -0032 where tis time in years. Find the amount of radioactive lead remaining after (a) 4 yr, (b) 6 yr, (c) 20 yr. (d) Find the half-life.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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A sample of 400 g of radioactive lead-210 decays to polonium-210 according to the function A(t) = 400 e -0.032t where t is time in years. Find the amount of radioactive lead remaining after (a) 4 yr, (b) 6 yr, (c) 20 yr. (d) Find the half-life.
-..
(a) The amount of radioactive lead remaining after 4 yr will be
g.
(Round to the nearest integer as needed.)
Transcribed Image Text:A sample of 400 g of radioactive lead-210 decays to polonium-210 according to the function A(t) = 400 e -0.032t where t is time in years. Find the amount of radioactive lead remaining after (a) 4 yr, (b) 6 yr, (c) 20 yr. (d) Find the half-life. -.. (a) The amount of radioactive lead remaining after 4 yr will be g. (Round to the nearest integer as needed.)
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