Question

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.

Answer 1

The mass remains after 50 years is 48.79 kg to 2 decimal places

Step-by-step explanation:

A certain radioactive material decay in such a way, the mass in kilograms

remains after T years is given by the function $m(t)=120e^{-0.018t}$

where

• m(t) is the mass remains after t years
• t is the number of years

We need to find how much mass remains after 50 years

∵ $m(t)=120e^{-0.018t}$

∵ t = 50 years

- Substitute t by 50 in the function above

∴ $m(t)=120e^{-0.018(50)}$

∴ $m(t)=120e^{-0.9}$

∴ m(t) = 48.788399

∴ m(t) = 48.79 kilograms to 2 decimal places

The mass remains after 50 years is 48.79 kg to 2 decimal places

Learn more:

You can learn more about the function in brainly.com/question/10570041

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