The decay of 942 mg of an isotope is described by the function A(t)= 942e-0.012t, where t is time in years. Find the amount left after 71 years. Round your answer to the nearest mg. Show all of your work for full credit.

Question

anonymous · Answer

i know that i have to plug 71 in for t and the natural base for e

anonymous · Answer

942e^0.012t

anonymous · Answer

yup plug 71 in for t and use order of operations

anonymous · Answer

okay so so far i have 942 (2.71828^0.852)
how do i multiply out 2.71828^0.852?

anonymous · Answer

depends on if your calculator has the carrot ^ or the words exp

anonymous · Answer

i don't have a calculator but i can look one up online.  what kind of calculator should i use?

anonymous · Answer

you can use the calculator built into your computer

anonymous · Answer

okay so i got 2.288735

anonymous · Answer

i got a slightly different answer...

just paste this into google: 2.71828^0.852

anonymous · Answer

and multiply by 942

anonymous · Answer

942(2.288735) = 2155.98837

anonymous · Answer

2208.35837441