A sample of 800 g of an isotope decays to another isotope according to the function A(t)= 800 e -0.0541 where t is the time in years. (a) How much of the initial sample will be left in the sample after 10 years? (b) How long will it take the initial sample to decay to half of its original amount?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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A sample of 800 g of an isotope decays to another isotope according to the function A(t) 800 e 0.0541 where t is the time in years.
(a) How much of the initial sample will be left in the sample after 10 years?
(b) How long will it take the initial sample to decay to half of its original amount?
(a) After 10 years, about g of the sample will be left.
(Round to the nearest hundredth as needed.)
n 12.4)
n 12.5)
on 12.6)
Transcribed Image Text:A sample of 800 g of an isotope decays to another isotope according to the function A(t) 800 e 0.0541 where t is the time in years. (a) How much of the initial sample will be left in the sample after 10 years? (b) How long will it take the initial sample to decay to half of its original amount? (a) After 10 years, about g of the sample will be left. (Round to the nearest hundredth as needed.) n 12.4) n 12.5) on 12.6)
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