Answer:
the age of the object, to the nearest year, is 11,550 years.
Explanation:
o determine the age of an object using carbon dating, we need to know the amount of carbon-14 remaining in the object and the decay constant (k) of carbon-14. The formula to find the age (t) of an object is:
t = -(1/k) x ln(Nf/Ni)
where Nf is the amount of carbon-14 remaining in the object, Ni is the initial amount of carbon-14 when the object was alive, and ln is the natural logarithm.
Let's assume that we have an object with 25% of the original carbon-14 remaining. We can plug this value into the formula along with the decay constant of carbon-14:
t = -(1/0.00012) x ln(0.25/1)
t = -(1/0.00012) x (-1.386)
t = 11550 years
Therefore, the age of the object, to the nearest year, is 11,550 years.