Question

Suppose an egyptian mummy is discovered in which the amount of​ carbon-14 present is only about oneone​-fifthfifth the amount found in living human beings. the amount of​ carbon-14 present in animal bones after t years is given by yequals=y 0 e superscript negative 0.0001216 ty0e−0.0001216t​, where y 0y0 is the amount of​ carbon-14 present in living human beings. about how long ago did the egyptian​ die?

Answer 1

We are given the following equation:

y = y0 e^-0.0001216 t

where y = 1/5 y0, y0 is the original amount

So solving for time t:

1/5 y0= y0 e^-0.0001216 t

t = 13,235.51 years

 

So the human died about 13235.5 years ago