Radioactive isotope Lawrencium-266 has a half-life of 11 days. Suppose a sample of this substance has a mass of 240 g. -rt (a) Find a function m(t) =m, e that models the mass remaining after t days. (Round r to 3 decimal places.) (b) Find the mass remaining after three weeks. (c) How long will it take for the sample to decay to a mass of 30 g? (Round t to the nearest day.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Radioactive isotope Lawrencium-266 has a
half-life of 11 days. Suppose a sample of
this substance has a mass of 240 g.
(a) Find a function m(t)=m, e
-rt
that
models the mass remaining after t days.
(Round r to 3 decimal places.)
(b) Find the mass remaining after three
weeks.
(c) How long will it take for the sample to
decay to a mass of 30 g?
(Round t to the nearest day.)
Transcribed Image Text:Radioactive isotope Lawrencium-266 has a half-life of 11 days. Suppose a sample of this substance has a mass of 240 g. (a) Find a function m(t)=m, e -rt that models the mass remaining after t days. (Round r to 3 decimal places.) (b) Find the mass remaining after three weeks. (c) How long will it take for the sample to decay to a mass of 30 g? (Round t to the nearest day.)
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