Carbon14 has a halflife of approximately 5400 years a Find a

Carbon-14 has a half-life of approximately 5400 years. (a) Find a function that gives the amount, A, of carbon-14 in an object after t years. (b) A leaf is found that contains 35% of the carbon-14 it originally had. Approximately how old is it?

Solution

We have to use the following formula

N(t)=N₀(1/2)^t/h

Here h=5400 years

N(t)=N₀(1/2)^t/5400

b. 35=100(1/2)^t/5400

.35=(1/2)^t/5400

ln.35/ln(.5)=t/5400

t=8179 years