A sample of 800 g of an isotope decays to another isotope according to the function A(t) = 800 e-0.032, where t is the time in years. (a) How much of the initial sample will be left in the sample after 20 years? (b) How long will it take the initial sample to decay to half of its original amount? (a) After 20 years, about g of the sample will be left. (Round to the nearest hundredth as needed.) (b) After about \years, the initial sample will decay to half of its original amount. (Round to the nearest hundredth as needed.)

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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A sample of 800g of an isotope decays to another isotope according to the function A(t) = 800 e
-0.032t where t is the time in
years.
(a) How much of the initial sample will be left in the sample after 20 years?
(b) How long will it take the initial sample to decay to half of its original amount?
(a) After 20 years, aboutg of the sample will be left.
(Round to the nearest hundredth as needed.)
(b) After about lyears, the initial sample will decay to half of its original amount.
(Round to the nearest hundredth as needed.)
Transcribed Image Text:A sample of 800g of an isotope decays to another isotope according to the function A(t) = 800 e -0.032t where t is the time in years. (a) How much of the initial sample will be left in the sample after 20 years? (b) How long will it take the initial sample to decay to half of its original amount? (a) After 20 years, aboutg of the sample will be left. (Round to the nearest hundredth as needed.) (b) After about lyears, the initial sample will decay to half of its original amount. (Round to the nearest hundredth as needed.)
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