A certain substance decomposes according to a continuous exponential decay model. To begin an experiment, the initial amount of the substance is 500 kg. After 8 hours, 410 kg of the substance is left. (a) Let t be the time (in hours) since the beginning of the experiment, and let y be the amount of the substance (in kg) at time t. OIno Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. y = (b) How much of the substance is left 14 hours after the beginning of the experiment? Do not round any intermediate computations, and round your answer to the nearest whole number. kg olo
A certain substance decomposes according to a continuous exponential decay model. To begin an experiment, the initial amount of the substance is 500 kg. After 8 hours, 410 kg of the substance is left. (a) Let t be the time (in hours) since the beginning of the experiment, and let y be the amount of the substance (in kg) at time t. OIno Write a formula relating y to t. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. y = (b) How much of the substance is left 14 hours after the beginning of the experiment? Do not round any intermediate computations, and round your answer to the nearest whole number. kg olo
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:Español
A certain substance decomposes according to a continuous exponential decay model. To begin an experiment, the initial amount of the substance is 500 kg.
After 8 hours, 410 kg of the substance is left.
(a) Let t be the time (in hours) since the beginning of the experiment,
and let y be the amount of the substance (in kg) at time t.
OIno
Write a formula relating y to t.
Use exact expressions to fill in the missing parts of the formula.
Do not use approximations.
As
y =
(b) How much of the substance is left 14 hours after the beginning of
the experiment?
Do not round any intermediate computations, and round your
answer to the nearest whole number.
I kg
Check
Explanation
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41°F Ra
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