anonymous
  • anonymous
Nancy can you help me Radium decreases at the rate of 0.0428 percent per year. a. What is its half-life? (A half-life of a radioactive substance is defined to be the time needed for half of the material to dissipate. b. Write a recurrence relation to describe the decay of radium, where rn is the amount of radium remaining after n years.
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Read carefully... http://books.google.com/books?id=Lq3Z34tj0XEC&pg=PA381&lpg=PA381&dq=Radium+decreases+at+the+rate+of+0.0428+percent+per+year.&source=bl&ots=gyde8oUJOg&sig=jAlWjNedjAw_CDmNHLzu_vX5VeY&hl=en&ei=VsDNTeCWCMe2twe94dT9DQ&sa=X&oi=book_result&ct=result&resnum=4&ved=0CCkQ6AEwAw#v=onepage&q&f=false
anonymous
  • anonymous
THANKS!
anonymous
  • anonymous
;)

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anonymous
  • anonymous
y = Ae^(-kt)
anonymous
  • anonymous
general formula for exponential decay
anonymous
  • anonymous
A/2=A(0.000428)^x 1/2=(0.000428)^x find x
anonymous
  • anonymous
* correction A/2=A(1-0.000428)^x
anonymous
  • anonymous
\[1/2=(1-0.000428)^x\]
anonymous
  • anonymous
\[\log _{0.999572}(.5)\]
anonymous
  • anonymous
ok
anonymous
  • anonymous
that's half life
anonymous
  • anonymous
so how does translate to what I need for b
anonymous
  • anonymous
\[r_n=r_{n-1}(0.999572)\]
anonymous
  • anonymous
are you electrical engineer or student?
anonymous
  • anonymous
student this is module for 1 credit and I'm struggling!
anonymous
  • anonymous
I was asking elecengineer
anonymous
  • anonymous
sorry
anonymous
  • anonymous
np
anonymous
  • anonymous
by the way, did you figure out that credit card problem?
anonymous
  • anonymous
Suppose that one started out with 2 grams of radium. Find a solution for the discrete dynamical system illustrating this process and give the value for r(100), the amount remaining after 100 years.
anonymous
  • anonymous
yes
anonymous
  • anonymous
Okay, we can use above formula =2(1-0.000428)^100
anonymous
  • anonymous
approximately 1.92
anonymous
  • anonymous
that make sense because its half life in 1619 years so in 100 years there is not much difference

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