A sample of a radioactive substance has an initial mass of 795.3 mg. This substance follows a continuous exponential decay model and has a half-life of 6 minutes. (a) Let t be the time (in minutes) since the start of the experiment, and let y be the amount of the substance at time t. Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. y = 795.3e' (b) How much will be present in 19 minutes? Do not round any intermediate computations, and round your answer to the nearest tenth. O mg

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CR: Chapter Review
Problem 13CC: Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is...
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A sample of a radioactive substance has an initial mass of 795.3 mg. This substance follows a continuous exponential decay model and
has a half-life of 6 minutes.
(a) Let t be the time (in minutes) since the start of the experiment, and
let y be the amount of the substance at time t.
Write a formula relating y to t.
Use exact expressions to fill in the missing parts of the formula.
Do not use approximations.
y = 795.3e'
(b) How much will be present in 19 minutes?
Do not round any intermediate computations, and round your
answer to the nearest tenth.
O mg
Transcribed Image Text:A sample of a radioactive substance has an initial mass of 795.3 mg. This substance follows a continuous exponential decay model and has a half-life of 6 minutes. (a) Let t be the time (in minutes) since the start of the experiment, and let y be the amount of the substance at time t. Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. y = 795.3e' (b) How much will be present in 19 minutes? Do not round any intermediate computations, and round your answer to the nearest tenth. O mg
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