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
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