SOLUTION: Hi I need help on my homework. Would you kindly please show me how to solve this problem. Thank you. A radioactive element decays according to the function y=y0e^-0.0186T, wh

Algebra ->  Functions -> SOLUTION: Hi I need help on my homework. Would you kindly please show me how to solve this problem. Thank you. A radioactive element decays according to the function y=y0e^-0.0186T, wh      Log On


   

Question 933042: Hi I need help on my homework. Would you kindly please show me how to solve this problem. Thank you.

A radioactive element decays according to the function y=y0e^-0.0186T, where t is the time in years. If an initial sample contains y0=6 grams of the element, how many grams will be present after 50 years? What is the half-life of this element?

a.How many grams will be present after 50 years?
b.What is the half-life of this element?
My professor said that the answer in
A is 2.37 grams
B is 37.3 years
Would you please show me how to solve this problem. Thank you.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Using all lower case, you mean, in pure text form, this:
y=y[0]e^(-0.0186t)
which becomes with the triple braces rendering tags,
y=y%5B0%5De%5E%28-0.0186t%29.


The main two questions are to find y given y%5B0%5D=6 and t=50. Just fill and compute. The next part of the main question requires solving for t and then choosing y=1%2F2 and y%5B0%5D=1. You SHOULD be able to do this on your own.

You have reported the two expected final results, but can you take the process description I just gave and find those results yourself?