The half-life of a radioactive substance is 23.3 years. a. Find the exponential decay model for this substance. b. How much of the sample of 500 grams will remain after 10 years? c. How long will it take a sample of 500 grams to decay to 400 grams? a. Find k, rate of growth/decay and use it to write exponential decay model for this substance. A() = Ag e (Round to three decimal places.) b. Use the function from part (a) to determine how much of the sample of 500 grams will remain after 10 years? About grams (Round to the nearest integer.) c. Use the function from part (a) to determine how long will it take a sample of 500 grams to decay to 400 grams? Approximately years (Round to two decimal places.)
The half-life of a radioactive substance is 23.3 years. a. Find the exponential decay model for this substance. b. How much of the sample of 500 grams will remain after 10 years? c. How long will it take a sample of 500 grams to decay to 400 grams? a. Find k, rate of growth/decay and use it to write exponential decay model for this substance. A() = Ag e (Round to three decimal places.) b. Use the function from part (a) to determine how much of the sample of 500 grams will remain after 10 years? About grams (Round to the nearest integer.) c. Use the function from part (a) to determine how long will it take a sample of 500 grams to decay to 400 grams? Approximately years (Round to two decimal places.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The half-life of a radioactive substance is 23.3 years.
a. Find the exponential decay model for this substance.
b. How much of the sample of 500 grams will remain after 10 years?
c. How long will it take a sample of 500 grams to decay to 400 grams?
a. Find k, rate of growth/decay and use it to write exponential decay model for this substance.
A(t) = Ag el
(Round to three decimal places.)
b. Use the function from part (a) to determine how much of the sample of 500 grams will remain after 10 years?
About O grams (Round to the nearest integer.)
c. Use the function from part (a) to determine how long will it take a sample of 500 grams to decay to 400 grams?
Approximately
years (Round to two decimal places.)
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