Use the exponential decay model, A = Ao e kt, to solve the following. The half-life of a certain substance is 21 years. How long will it take for a sample of this substance to decay to 82% of its original amount? It will take approximately V for the sample of the substance to decay to 82% of its original amount. (Round to one decimal place as needed.)

Use the exponential decay model, A = Ao e kt, to solve the following. The half-life of a certain substance is 21 years. How long will it take for a sample of this substance to decay to 82% of its original amount? It will take approximately V for the sample of the substance to decay to 82% of its original amount. (Round to one decimal place as needed.)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section: Chapter Questions

Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...

See similar textbooks

Similar questions

An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
With what kind of exponential model would half-life be associated? What role does half-life play in these models?
With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?
Suppose that $12,000 is invested in a saving account paying 5.6% interest per year. (a)Write the formula for the amount in the account after t years if interest is compounded monthly. (b)Find the amount in the after 3 years if interest is compounded daily. (c)How long will it take for the amount in the account to grow to $20,000 if interest iscompounded continuously?
A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days, thesample has decayed to 80 grams. Rounding to fivesignificant digits, write an exponential equationrepresenting this situation. To the nearest day, whatis the half-life of this substance?
Researchers recorded that a certain bacteria population declined from 700,000 to 400,000 in 5 hours after the administration of medication. At this rate of decay, how many bacteria will there be 24 hours from the start of the experiment?