Español A certain substance decomposes according to a continuous exponential decay model. To begin an experiment, the initial amount of the substance is 4300 kg. After 8 hours, 3053 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. Olno Write a formula relating y to 1. Use exact expressions to fill in the missing parts of the formula. Do not use approximations. An y = (b) How much of the substance is left 11 hours after the beginning of the experiment? Do not round any intermediate computations, and round your answer to the nearest whole number.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.6: Exponential And Logarithmic Equations
Problem 81SE: Newton’s Law ofCooling states that the temperatureTof an object at any time t can be described by...
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Español
A certain substance decomposes according to a continuous exponential
decay model. To begin an experiment, the initial amount of the
substance is 4300 kg. After 8 hours, 3053 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.
Olno
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 11 hours after the beginning of
the experiment?
Do not round any intermediate computations, and round your
answer to the nearest whole number.
O kg
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 4300 kg. After 8 hours, 3053 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. Olno 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 11 hours after the beginning of the experiment? Do not round any intermediate computations, and round your answer to the nearest whole number. O kg
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