A scientist measures the initial amount of Carbon-14 in a substance to be 25 grams.
The relationship between A, the amount of Carbon-14 remaining in that substance, in grams, and t, the elapsed
time, in years, since the initial measurement is modeled by the following equation.
A = 25e 0.00012
In how many years will the substance contain exactly 20 grams (g) of Carbon-14
Give an exact answer expressed as a natural logarithm.
years

1859 years

Step-by-step explanation:

The equation that gives the general decay of a radioactive isotope is:

where

A0 is the initial amount of the isotope at time t = 0

A(t) is the amount of the isotope at time t

is the decay constant of the isotope

For the carbon-14 isotope we have the equation:

Which means that

A0 = 25 g is the initial amount of carbon-14

is the decay constant

We want to find the time t after which the amount of substance left is

A(t) = 20 g

So, by re-arranging the equation for t, we find:

it could be a ..idk tho

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.