RandomMammoth
Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

PLEASE HELP. A substance decays according the the equation ae^-0.0025t, where t is in minutes. Find the half life of the substance. Round to the nearest tenth.

Sagot :

AL2006

First of all, that's not an equation.  An equation needs an 'equals' sign ( = ),
so you need something like 

               Amount present = a e^-0.0025t .

                                   'a' = amount present when t = 0 .

The half-life is the time it takes for the original amount to decay to half of it.

That's just 't' when                      e^-0.0025t  =  1/2

Take the natural log of each side:    -0.0025t  =  ln(0.5)

Divide each side by  -0.0025 :        t = ln(0.5) / (-0.0025) =

                                                     (-0.69315) / (-0.0025) =

                                                   t  =  277.26 minutes

                                                    ( 4hrs 37min 15.5sec)

Rounded to nearest tenth:  t = 277.3 minutes .


Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.