I1 the population to A.Evaluatey= 2e ) 2. When will the population reach 3 million? B. Solve 2e.02 6. 3. How large will the population be in 3 yr? C.Evaluate y= 2e023) 4. How large will the population be in 4 months? D.Solve 2e.02 3 CONCEPT PREVIEW Radioactive Decay Strontium-90 decays according to the expo- nential function yyoe 0.0241 where t is time in years. Match each question in Column I with the correct procedure in Column Il to answer the question. I II 5. If the initial amount of Strontium-90 is 200 g, A.Solve 0.75yo yoe 0.0241t how much will remain after 10 yr? 6. If the initial amount of Strontium-90 is 200 g, how much will remain after 20 yr? B.Evaluate y = 200e .0241 (10) 7. What is the half-life of Strontium-90? C. Solve yo yoe 0.0241r. 8. How long will it take for any amount of Strontium-90 to decay to 75% of its initial D.Evaluate y = 200e 0.0241 (20) amount? (Modeling) exponential or logarithmic models. See Examples 1-6. The exercises in this set are grouped according to discipline. They involve Physical Sciences (Exercises 9-28) An initial amount of a radioactive substance yo is given, along with information about the amount remaining after a given time t in appropriate units. For an equation of the form y = yo ekt that mode ls the situation, give the exact value of k in terms of natural logarithms. After 6 hr, 10 g remain. 10. Уo - 30 gs 9. yo= 60 g; After 3 hr, 20 g remain. 12. yo = 20 mg; The half-life is 200 days. 11. yo = 10 mg; The half-life is 100 days. 14. yo= 8.1 kg; After 4 yr, O.9 kg remains. 2.4 lb; After 2 yr, 0.6 lb remains. 13. yo 15. Decay of Lead A sample of 500 g of radioactive lead-210 decays to polonium-210 according to the function Solve each problem. A(t) = 500e 0.032; where t is time in years. Find the amount of radioactive lead remaining after (c) 20 yr. (d) Find the half-life. (b) 8 yr, (а) 4 yr, ల

Trigonometry (MindTap Course List)
10th Edition
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Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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Question

15.

How do you answer part (a) and (d)?

I1
the population to
A.Evaluatey= 2e )
2. When will the population reach 3 million?
B. Solve 2e.02
6.
3. How large will the population be in 3 yr?
C.Evaluate y= 2e023)
4. How large will the population be in 4 months?
D.Solve 2e.02 3
CONCEPT PREVIEW Radioactive Decay Strontium-90 decays according to the expo-
nential function
yyoe 0.0241
where t is time in years. Match each question in Column I with the correct procedure in
Column Il to answer the
question.
I
II
5. If the initial amount of Strontium-90 is 200 g,
A.Solve 0.75yo yoe
0.0241t
how much will remain after 10 yr?
6. If the initial amount of Strontium-90 is 200 g,
how much will remain after 20 yr?
B.Evaluate y = 200e .0241 (10)
7. What is the half-life of Strontium-90?
C. Solve yo yoe 0.0241r.
8. How long will it take for any amount of
Strontium-90 to decay to 75% of its initial
D.Evaluate y = 200e 0.0241 (20)
amount?
(Modeling)
exponential or logarithmic models. See Examples 1-6.
The exercises in this set are grouped according to discipline. They involve
Physical Sciences (Exercises 9-28)
An initial amount of a radioactive substance yo is given, along with information about
the amount remaining after a given time t in appropriate units. For an equation of the
form y = yo ekt that mode ls the situation, give the exact value of k in terms of natural
logarithms.
After 6 hr, 10 g remain.
10. Уo -
30
gs
9. yo= 60 g; After 3 hr, 20 g remain.
12. yo = 20 mg; The half-life is 200 days.
11. yo = 10 mg; The half-life is 100 days.
14. yo= 8.1 kg; After 4 yr, O.9 kg remains.
2.4 lb; After 2 yr, 0.6 lb remains.
13. yo
15. Decay of Lead A sample of 500 g of radioactive lead-210 decays to polonium-210
according to the function
Solve each problem.
A(t) = 500e 0.032;
where t is time in years. Find the amount of radioactive lead remaining after
(c) 20 yr.
(d) Find the half-life.
(b) 8 yr,
(а) 4 yr,
ల
Transcribed Image Text:I1 the population to A.Evaluatey= 2e ) 2. When will the population reach 3 million? B. Solve 2e.02 6. 3. How large will the population be in 3 yr? C.Evaluate y= 2e023) 4. How large will the population be in 4 months? D.Solve 2e.02 3 CONCEPT PREVIEW Radioactive Decay Strontium-90 decays according to the expo- nential function yyoe 0.0241 where t is time in years. Match each question in Column I with the correct procedure in Column Il to answer the question. I II 5. If the initial amount of Strontium-90 is 200 g, A.Solve 0.75yo yoe 0.0241t how much will remain after 10 yr? 6. If the initial amount of Strontium-90 is 200 g, how much will remain after 20 yr? B.Evaluate y = 200e .0241 (10) 7. What is the half-life of Strontium-90? C. Solve yo yoe 0.0241r. 8. How long will it take for any amount of Strontium-90 to decay to 75% of its initial D.Evaluate y = 200e 0.0241 (20) amount? (Modeling) exponential or logarithmic models. See Examples 1-6. The exercises in this set are grouped according to discipline. They involve Physical Sciences (Exercises 9-28) An initial amount of a radioactive substance yo is given, along with information about the amount remaining after a given time t in appropriate units. For an equation of the form y = yo ekt that mode ls the situation, give the exact value of k in terms of natural logarithms. After 6 hr, 10 g remain. 10. Уo - 30 gs 9. yo= 60 g; After 3 hr, 20 g remain. 12. yo = 20 mg; The half-life is 200 days. 11. yo = 10 mg; The half-life is 100 days. 14. yo= 8.1 kg; After 4 yr, O.9 kg remains. 2.4 lb; After 2 yr, 0.6 lb remains. 13. yo 15. Decay of Lead A sample of 500 g of radioactive lead-210 decays to polonium-210 according to the function Solve each problem. A(t) = 500e 0.032; where t is time in years. Find the amount of radioactive lead remaining after (c) 20 yr. (d) Find the half-life. (b) 8 yr, (а) 4 yr, ల
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