A particular radioactive isotope has a half-life of 400 years. The time required for only A% of the A ,where t is the time, in 100 original amount to remain is modelled by the function t =-400log, years. a) After how many years will only 25% of the original amount of radioactive isotope remain? (3) b) After 20 years, what percent of the original amount of radioactive isotope remains? (3)
A particular radioactive isotope has a half-life of 400 years. The time required for only A% of the A ,where t is the time, in 100 original amount to remain is modelled by the function t =-400log, years. a) After how many years will only 25% of the original amount of radioactive isotope remain? (3) b) After 20 years, what percent of the original amount of radioactive isotope remains? (3)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:A particular radioactive isotope has a half-life of 400 years. The time required for only A% of the
A
original amount to remain is modelled by the function t =-400log,
100
where t is the time, in
years.
a) After how many years will only 25% of the original amount of radioactive isotope remain? (3)
b) After 20 years, what percent of the original amount of radioactive isotope remains? (3)
c) Determine the domain of the function in the interval notation. (1)
d) Determine the range of the function in the interval notation. (1)
e) Determine an equation(s) of asymptote(s). (1)
f) Complete a table of values. (1)
g) Graph the given function in the paper-pencil-ruler style. (4)
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