How do i solve this!? Will give medals! Radium-221 has a half-life of 30 sec. How long will it take for 84% of a sample to decay? (Round your answer to the nearest whole number.)

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How do i solve this!? Will give medals! Radium-221 has a half-life of 30 sec. How long will it take for 84% of a sample to decay? (Round your answer to the nearest whole number.)

Mathematics
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Other answers:

okay so basically
we keep losing 1/2 ever 30 seconds
i found the 'r' by doing ln2/30
wait i have to figure it out too
|dw:1443224796743:dw|
|dw:1443224894019:dw|
then we multiply 30*n to see how many seconds
im confused
okay let me see how to explain this
oohhh wait wait i think i know what you mean
you start with 1 mg
i mean, 1 "sample" of it, right?
yep
okay, and howd you get the (1/2)?
okay so forget like the 30 secs to begin with i mean remember it but we really wanna see how many half lives have passed we just know 1 half live is 30 seconds keep that in mind
Okay
basically like this, now you know that for every half life we multiply by a 1/2
okay
|dw:1443225179484:dw|
okay that makes sense
so how would we incorporate that into the formula?
|dw:1443225321392:dw|
okay
|dw:1443225534573:dw|
every 30 secs u want a new half lige so
life
okay
|dw:1443225561434:dw|
i believe this works
let me thing hmm
think
here is an example layout, but doesnr have answers, it confused me
1 Attachment
i dont know if that helps any
gimme a few mins, i am dealing with someone here
okay
yeah dont worry ill help u understand this stuff its pretty simple
okay thanks!
actually i think i figured it out!
waiitt okay
i want to show u something important first
are you there
crap, nvm i got it wrong
okay remember the (1/2)^n formula
yeah
now lets tweak that a little bit okay we know that for evert 30 secs we want it to be halved so
1*(1/2)^(t/30)
now u see every 30 secs we would exactly half it
the equation they give u is this just in disguise
that makes sense
like for example
if we apply e^ln(x) = x e and ln cancel out right
lets apply to that equation we know has to be right
okay
e^ln((1/2)^(t/30))
do you know your ln rules like ln(x^3)= 3 ln x the power multiples
oh wait, dont you bring it to the rfont of the ln?
front *
|dw:1443226339275:dw|
with a little bit of manipulation we see that the equation is exactly reuivalent
equivalent
there is only 1 rule im applying here over and over
|dw:1443226451939:dw|
yes i do remember those
okay go ahead fill it all in now
|dw:1443226609625:dw|
yes that is correct
http://prntscr.com/8kirao
i got 79.33, is that right?
seconds
i am not using a calculator make sure u round it to the 10th
its correct :) thank you again so much, youre awesome!
okay you're welcome :)

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