F.6 M&S LOGARITHMIC

F.6 M&S LOGARITHMIC

Suppose the radioactive element carbon-14 has the half-life of 5750 years.
A skeleton from an archaeological site is found to have a content of carbon-14 that is 30% o the level naturally occuring in the atmosphere.

(a) find the exponential equation for the amount N(t) of carbon-14 that remains from an initial amount N0 after t years.

(b) find the age of the skeleton correct to the nearest ten years.

(a) ans is N(t) = N0e^-0.000121t
(b) ans is 9950 years old

with explaination/full steps plz