Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year. how many years will it take for carbon–14 to decay to 10 percent of its original amount? the equation for exponential decay is at = a0e–rt.

18569.234 years

Step-by-step explanation:

Given : Carbon–14 is a radioactive isotope that decays exponentially at a rate of 0.0124 percent a year.

To Find: How many years will it take for carbon–14 to decay to 10 percent of its original amount?

Solution:

The equation for exponential decay is

= initial amount

A(t) = Amount after t time

Now we are supposed to find after how many years will it take for carbon–14 to decay to 10 percent of its original amount.

So,

r = 0.0124 % = 0.000124

Substitute the values in the equation:

Hence it will take 18569.234 years to decay to 10 percent of its original amount.

answer: i believe it’s 245.04

step-by-step explanation: