Question
Asked Mar 17, 2020
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A radioactive substance decays in such a way that the amount of mass remaining after t days is given by the function
m(t)
= 9e-0.017t
where m(t) is measured in kilograms.
(a) Find the mass at timet = 0.
%3D
kg
(b) How much of the mass remains after 50 days? (Round your answer to one decimal place.)
kg
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A radioactive substance decays in such a way that the amount of mass remaining after t days is given by the function m(t) = 9e-0.017t where m(t) is measured in kilograms. (a) Find the mass at timet = 0. %3D kg (b) How much of the mass remains after 50 days? (Round your answer to one decimal place.) kg

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Expert Answer

Step 1

Given:

Algebra homework question answer, step 1, image 1

Step 2

Part (a)

Plugging t=0, we get:

Algebra homework question answer, step 2, image 1

Mass at time t=0 is 9 kg

Step 3

Part (b)

Plugging t=50, we get:

Algebra homework question answer, step 3, image 1

Mass remaining after 50 days is 3.8 kg

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