Astudent in greece discovers a pottery bowl
that contains 21% of its original amount of c-
14.
n = noe-kt
no = inital amount of c-14 (at time t = 0)
n = amount of c-14 at timet
t = time, in years
k = 0.0001

age of the pottery bowl to the nearest year? ?

The age of the pottery bowl to the nearest year is 15606 years.

Step-by-step explanation:

Let the initial amount of C-14 in the bowl i.e. and today (say after t years) the amount of C-14 in the bowl i.e. N = 21.

Therefore, from the given equation we can write  

{Since, k is give to be 0.0001}

⇒

Now, taking ln on both sides we get

ln 0.21 = - 0.0001t (ln e) {Since, }

⇒ - 1.560647 = - 0.0001t  {We have ln e = 1}

⇒ t = 15606.47 years ≈ 15606 years  

Therefore, the age of the pottery bowl to the nearest year is 15606 years.(Answer)

you need to show us the graph.

step-by-step explanation: