Anyone know how to go about solving a problem like this?

Yesterday the Holy Grail was found in my lawn. Knowing the Grail must be 2,000 yrs old and Carbon-14's 1/2 Life is 5,700 yrs, what % must begoneto be real

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- Nov 11th 2007, 02:18 PMcjmac87Carbon-14 Half-life word problem
Anyone know how to go about solving a problem like this?

Yesterday the Holy Grail was found in my lawn. Knowing the Grail must be 2,000 yrs old and Carbon-14's 1/2 Life is 5,700 yrs, what % must be__gone__to be real - Nov 11th 2007, 02:27 PMJhevon
What a coincidence! i found the Grail in my backyard just last week. mine is the real one of course.

Let be the amount of carbon-14 remaining at time t, let be the original amount of carbon-14. since we lose carbon-14 in an exponential decay, we have that:

where is the rate of decay and is the time elapsed.

now, we know that where is the half-life

thus we have:

now assume we have 1 unit to begin with. then the A remaining after 2000 years (in the decimal form of a percentage) is given by:

now calculate that - Nov 11th 2007, 11:01 PMCaptainBlack