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A certain substance decomposes according to a continuous exponential decay model. To
Undergraduate
A certain substance decomposes according to a continuous exponential decay model. To begin an experiment, the initial amount of the substance is 4 0 0
A certain substance decomposes according to a continuous exponential decay model. To begin an experiment, the initial amount of the substance is
4
0
0
kg
After
8
hours,
2
6
0
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
Write a formula relating y to t
.
Use exact expressions to fill in the missing parts of the formula.
Do not use approximations.
How much of the substance is left
2
3
hours after the beginning of the experiment?
Do not round any intermediate computations, and round your answer to the nearest whole number.
Step by Step Solution
1
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