A particular radioactive isotope has a half-life of 400 years. The time required for only A% of the original amount to remain is modelled by the function t= -400 log2(A/100) , where t is the time, in years. a) After how many years will only 25% of the original amount of radioactive isotope remain? b) After 20 years, what percent of the original amount of radioactive isotope remains? c) Determine the domain of the function in the interval notation. d) Determine the range of the function in the interval notation. please, step by step
A particular radioactive isotope has a half-life of 400 years. The time required for only A% of the original amount to remain is modelled by the function t= -400 log2(A/100) , where t is the time, in years. a) After how many years will only 25% of the original amount of radioactive isotope remain? b) After 20 years, what percent of the original amount of radioactive isotope remains? c) Determine the domain of the function in the interval notation. d) Determine the range of the function in the interval notation. please, step by step
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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A particular radioactive isotope has a half-life of 400 years. The time required for only A% of the original amount to remain is modelled by the function t= -400 log2(A/100) , where t is the time, in years.
a) After how many years will only 25% of the original amount of radioactive isotope remain?
b) After 20 years, what percent of the original amount of radioactive isotope remains?
c) Determine the domain of the function in the interval notation.
d) Determine the range of the function in the interval notation.
please, step by step
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