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

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1

$450 i think. hope this ☺