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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.3: Applications: Growth And Decay
Problem 15E
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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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