Hint for question 10: For this problem you need to use the e" key in your calculator. That key is used for the Natural Exponential Function. You need to evaluate m(t). The function usually looks like m(t) = k·t a · e . Do the exponent first by multiplying the constant -k by the number of years given, then press the e" key to raise e to that exponent. Then multiply that number by the value of a, to get the final answer for grams of the radioactive material left. Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 420e –0.015t where m(t) is measured in grams. (a) Find the mass at timet = 0. Your answer is (b) How much of the mass remains after 45 years? Your answer is Round answers to 1 decimal place.
Hint for question 10: For this problem you need to use the e" key in your calculator. That key is used for the Natural Exponential Function. You need to evaluate m(t). The function usually looks like m(t) = k·t a · e . Do the exponent first by multiplying the constant -k by the number of years given, then press the e" key to raise e to that exponent. Then multiply that number by the value of a, to get the final answer for grams of the radioactive material left. Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 420e –0.015t where m(t) is measured in grams. (a) Find the mass at timet = 0. Your answer is (b) How much of the mass remains after 45 years? Your answer is Round answers to 1 decimal place.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![Hint for question 10:
For this problem you need to use the e" key in your calculator. That key is used for the Natural Exponential
Function.
- k-t Do the exponent first by
You need to evaluate m(t). The function usually looks like m(t) = a · e
multiplying the constant -k by the number of years given, then press the e" key to raise e to that exponent.
Then multiply that number by the value of a, to get the final answer for grams of the radioactive material
left.
Certain radioactive material decays in such a way that the mass remaining after t years is given by
the function
m(t) = 420e– 0.015t
where m(t) is measured in grams.
(a) Find the mass at time t = 0.
Your answer is
(b) How much of the mass remains after 45 years?
Your answer is
Round answers to 1 decimal place.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2a49397d-2847-420e-bdfe-93d5dc178c48%2F211e25e8-6997-48d8-b5c3-f05504809fc4%2Fog7woc9_processed.png&w=3840&q=75)
Transcribed Image Text:Hint for question 10:
For this problem you need to use the e" key in your calculator. That key is used for the Natural Exponential
Function.
- k-t Do the exponent first by
You need to evaluate m(t). The function usually looks like m(t) = a · e
multiplying the constant -k by the number of years given, then press the e" key to raise e to that exponent.
Then multiply that number by the value of a, to get the final answer for grams of the radioactive material
left.
Certain radioactive material decays in such a way that the mass remaining after t years is given by
the function
m(t) = 420e– 0.015t
where m(t) is measured in grams.
(a) Find the mass at time t = 0.
Your answer is
(b) How much of the mass remains after 45 years?
Your answer is
Round answers to 1 decimal place.
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