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
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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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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