Q:

A certain radioactive material decay in such a way There’s a mass in kilograms remains after T years is given by the that the mass in kilograms remains after T years is given by the function m(t)=120e^-0.018t How much mass remains after 50 years? Round to 2 decimal places.

Accepted Solution

A:
The mass remains after 50 years is 48.79 kg to 2 decimal placesStep-by-step explanation:A certain radioactive material decay in such a way, the mass in kilogramsremains after T years is given by the function [tex]m(t)=120e^{-0.018t}[/tex]wherem(t) is the mass remains after t yearst is the number of yearsWe need to find how much mass remains after 50 years∵ [tex]m(t)=120e^{-0.018t}[/tex]∵ t = 50 years- Substitute t by 50 in the function above∴ [tex]m(t)=120e^{-0.018(50)}[/tex]∴ [tex]m(t)=120e^{-0.9}[/tex]∴ m(t) = 48.788399∴ m(t) = 48.79 kilograms to 2 decimal placesThe mass remains after 50 years is 48.79 kg to 2 decimal placesLearn more:You can learn more about the function in brainly.com/question/10570041#LearnwithBrainly