Sample of 500gms radioactive substance decays according to the function A(t)-500-0.044t where t is the time in years. How much of the substance will be left in the sample after 20 years?round to the nearest whole gram
Maybe you mean
A(t) = 500 e^-(.044 t)
????????
A(20) = 500 e^-.88
= 500 * .415
207.391
To find out how much of the substance will be left after 20 years, we can substitute the value of t = 20 into the given function A(t) = 500 - 0.044t.
A(20) = 500 - 0.044(20)
A(20) = 500 - 0.88
A(20) = 499.12
Rounding this value to the nearest whole gram, we get 499 grams.
Therefore, after 20 years, approximately 499 grams of the radioactive substance will be left in the sample.