The mass that would remain after 50 years is 48. 79 kilograms
It is important to note that half - life is the time it takes for amount of a substance to reduce to half of its initial value.
Given the equation
m(t)=120e−0.018t
Where
m(t) is the amount = unknown
t = time = 50 years
[tex]m(t) = 120e^0^.^0^1^8^t[/tex]
Substitute the value into the equation
[tex]m(t) = 120e^0^.^0^1^8^(^5^0^)[/tex]
[tex]m(t) = 120e^-^0^.^9[/tex]
Find the exponential value
[tex]m(t) = 48.788399[/tex]
m(t) = 48. 79 kilograms in 2 decimal places
Thus, the mass that would remain after 50 years is 48. 79 kilograms
Learn more about half-life here:
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