Calc 2
the half life of C-14 is about 5730 years
a. archaeologists find a piece of cloth painted with organic dyes. Analysis of the dye in the cloth shows that only 77% of the c-14 originally in the dye remains. When was the cloth painted?
b. a well preserved piece of wood found at an archaeological site has 6.2% of the C-14 that it had when it was alive. Estimate when the wood was cut.

Question

Calc 2
the half life of C-14 is about 5730 years
a. archaeologists find a piece of cloth painted with organic dyes.  Analysis of the dye in the cloth shows that only 77% of the c-14 originally in the dye remains.  When was the cloth painted?
b. a well preserved piece of wood found at an archaeological site has 6.2% of the C-14 that it had when it was alive.  Estimate when the wood was cut.

anonymous · Answer

@satellite73

anonymous · Answer

don't need any calc for this one

anonymous · Answer

solve $$\large \left(\frac{1}{2}\right)^{\frac{t}{5700}}=.77$$ for $t$

anonymous · Answer

and b?

anonymous · Answer

you know how to solve the first one ?

anonymous · Answer

oh damn i didn't read carefully
it is $$\large \left(\frac{1}{2}\right)^{\frac{t}{5730}}=.77$$

anonymous · Answer

second is identical to the first, but replace $.77$ by $.062$

anonymous · Answer

thanks

anonymous · Answer

yw