The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows only 72% of the carbon-14 expected in living matter, when did the tree die?

t =2654.01465 year

Step-by-step explanation:

Given that the half-life of carbon-14 is 5600 years and if a piece of charcoal made from the wood of a tree shows only 72% of the carbon-14 expected in living matter.

we know

where y= final amount

a= initial amount

b= growth/decay

t= time elapsed

h= half time

plugging the values we get

taking log on both side

log 0.72 = t/5600 log(1/2)

solving we get t =2654.01465 year

is there a picture

step-by-step explanation:

what is the answer?