A(SO)- 97.657 is present ofter (a) What is the initial amount of the isotope present in the sample? AGamount of a radioactive isotope present in a certain sample at time t is given by A(t) : = 400e-0.02828t grams, where t years is the time since the initial amount was measured. (a) What is the initial amount of the isotope present in the sample? (b) How much of the isotope is present after 50 years? 50 yeaks రం (c) How much is half of the initial value? 1200

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 99E: Radioactive decay Uranium-234 has a half-life of 2.7x105 Years. (a)Find the amount remaining from a...
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20
20
10
li000,00 = 500
000008
000000
000000
4=500,00
00000
15
25
35
3.
ACte amount of a radioactive isotope present in a certain sample at time t is given by
= 400e-0.02828t
(7)
%3D
grams, where t years is the time since the initial amount was measured.
(a) What is the initial amount of the isotope present in the sample?
(b) How much of the isotope is present after 50
years?
(c) How much is half of the initial value?
1200
(d) Find the half-life of this isotope. That is, find the
number of years until half of the original amount of the
isotope remains.
009
00-
-00-
-40
-20
40
09
08
000
Transcribed Image Text:20 20 10 li000,00 = 500 000008 000000 000000 4=500,00 00000 15 25 35 3. ACte amount of a radioactive isotope present in a certain sample at time t is given by = 400e-0.02828t (7) %3D grams, where t years is the time since the initial amount was measured. (a) What is the initial amount of the isotope present in the sample? (b) How much of the isotope is present after 50 years? (c) How much is half of the initial value? 1200 (d) Find the half-life of this isotope. That is, find the number of years until half of the original amount of the isotope remains. 009 00- -00- -40 -20 40 09 08 000
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