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Mathematics
Mathematics
Problem
The mass (in grams) of a radioactive sample is modeled by
m
(
t
)
=
m
0
e
−
0.00042
ln
(
t
−
1950
)
m(t)=m_0e^{-0.00042\ln(t-1950)}
m
(
t
)
=
m
0
e
−
0.00042
l
n
(
t
−
1950
)
, where
t
t
t
is the calendar year. In 2023 the sample’s mass is measured to be
0.38
g
0.38\,\text{g}
0.38
g
. Find
m
0
m_0
m
0
, the mass the sample had in 1950.
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