The half-life of a certain radioactive material is 37 days. an initial amount of the material has a mass of 477 kg. write an exponential function that models the decay of this material. find how much radioactive material remains after 6 days. round your answer to the nearest thousandth.

Write an exponential function that models the decay of this material.
The material half-life is 37 days and the original mass is 477 kg. Using an=ao(r)^t the function made would be:
an=ao(r)^t
an=477(1/2)^(t/37)

After 6 days the amount would be: 
an=477(1/2)^(t/37)
an=477(1/2)^(6/37)
an=477(1/2)^(t/37)
an=477* 0.89368470454= 426.28kg