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5. lodine-131 is a radioactive isotope of iodine that is used in a sodium salt to diagnose thyroid disease. The half-life of lodine-131 is 8 days, which means that it takes 8 days for the sample to decay to half its original amount. Suppose you start with a 480 mg sample of lodine-131. a) How much will remain after 48 days? b) How long will it take for the isotope to decay to 15mg?

5. lodine-131 is a radioactive isotope of iodine that is used in a sodium salt to diagnose thyroid disease. The half-life of lodine-131 is 8 days, which means that it takes 8 days for the sample to decay to half its original amount. Suppose you start with a 480 mg sample of lodine-131. a) How much will remain after 48 days? b) How long will it take for the isotope to decay to 15mg?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5. lodine-131 is a radioactive isotope of iodine that is used in a sodium salt to diagnose thyroid disease. The half-life of lodine-131 is 8 days, which means that it takes 8 days for the sample to decay to half its original amount. Suppose you start with a 480 mg sample of lodine-131. a) How much will remain after 48 days? b) How long will it take for the isotope to decay to 15mg? 6. The value of a car depreciates 12.5% per year after it is purchased. a) Write an equation that models the value V(t) of a $28 000 car after t years. b) What will the value be after 36 months? c) To the nearest tenth of a year (1 decimal), approximately how long will it take to reach half of its original value?
Transcribed Image Text:5. lodine-131 is a radioactive isotope of iodine that is used in a sodium salt to diagnose thyroid disease. The half-life of lodine-131 is 8 days, which means that it takes 8 days for the sample to decay to half its original amount. Suppose you start with a 480 mg sample of lodine-131. a) How much will remain after 48 days? b) How long will it take for the isotope to decay to 15mg? 6. The value of a car depreciates 12.5% per year after it is purchased. a) Write an equation that models the value V(t) of a $28 000 car after t years. b) What will the value be after 36 months? c) To the nearest tenth of a year (1 decimal), approximately how long will it take to reach half of its original value?
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