Question

A radioactive isotope and its associated half-life are given. Assume that it decays according to the formula $A(t) = A_0e^{kt}$ where $A_0$ is the initial amount of the material and $k$ is the decay constant. Uranium 235, used for nuclear power, initial amount 2 kilograms, half-life of 704 million years Find the decay constant $k$. Round your answer to four decimal places. k = 1015.6483 Find a function which gives the amount of isotope A which remains after time $t$. (Keep the units of A and $t$ the same as the given data.) A(t) = 1.903925 Determine how long it takes for 80% of the material to decay. Round your answer to two decimal places. (HINT: If 80% of the material decays, how much is left?) 328 million years

          A radioactive isotope and its associated half-life are given. Assume that it decays according to the formula $A(t) = A_0e^{kt}$ where $A_0$ is the initial amount of the material and $k$ is the decay constant.
Uranium 235, used for nuclear power, initial amount 2 kilograms, half-life of 704 million years
Find the decay constant $k$. Round your answer to four decimal places.
k = 1015.6483
Find a function which gives the amount of isotope A which remains after time $t$. (Keep the units of A and $t$ the same as the given data.)
A(t) = 1.903925
Determine how long it takes for 80% of the material to decay. Round your answer to two decimal places. (HINT: If 80% of the material decays, how much is left?)
328 million years

A radioactive isotope and its associated half-life are given. Assume that it decays according to the formula A(t) = A0e^kt where A0 is the initial amount of the material and k is the decay constant.
Uranium 235, used for nuclear power, initial amount 2 kilograms, half-life of 704 million years
Find the decay constant k. Round your answer to four decimal places.
k = 1015.6483
Find a function which gives the amount of isotope A which remains after time t. (Keep the units of A and t the same as the given data.)
A(t) = 1.903925
Determine how long it takes for 80% of the material to decay. Round your answer to two decimal places. (HINT: If 80% of the material decays, how much is left?)
328 million years

Added by Xavier G.

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