An old campfire is uncovered during an archaeological dig. Its charcoal is found to contain less than 1/1000 the normal amount of ^{14}\text{C} 14 C. Estimate the minimum age of the charcoal, noting that

An old campfire is uncovered during an archaeological dig. Its charcoal is found to contain less than 1/1000 the normal amount of . Estimate the minimum age of the charcoal, noting that  

57300 years

Step-by-step explanation:

Using the relation of an half-life time in relation to fraction which can be  expressed as:

here;

N represents the present atom

represents the  initial atom

t represents the time

represents the half - life

Given that:

Its charcoal is found to contain less than 1/1000 the normal amount of .

Then ;

However; we are to  estimate the minimum age of the charcoal, noting that  

so noting that , then:

If

Then

Therefore, the estimate of the minimum time needed is 10 half-life time.

For , the normal half-life time = 5730 years

As such , the estimate of the minimum age of the charcoal =  5730 years × 10

= 57300 years

i can't see the picture : /

both equations and proportions are better.