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Mathematics
Mathematics
Problem
A radioactive isotope obeys
d
M
d
t
=
−
0.041
M
\dfrac{dM}{dt}=-0.041M
d
t
d
M
=
−
0.041
M
, where
M
M
M
is measured in grams and
t
t
t
in years. If the initial mass is
50
g
50\text{ g}
50
g
, determine the time required for the mass to decrease to
15
g
15\text{ g}
15
g
. Provide the exact value of
t
t
t
.
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