# An archaeologist unearths the remains of a wooden box, analyzes for the carbon-14 content, and finds that about 93.75% of the carbon-14 initially present has decayed. The half-life of carbon-14 is 5600 years. How old is the box?

##### 1 Answer

Nov 19, 2017

#### Answer:

About 41,000 years.

#### Explanation:

1st order decay gives us:

Taking natural logs of both sides