Asample from a fossil has 2 grams of carbon 14. this same sample had 10 grams of carbon 14 at the moment of its demise. if the half-life of carbon 14 is 5730 years, then what is the age of the fossil? options: 12705 years 13005 years 13105 years 13205 years 13305 years

The correct option is:   13305 years

Step-by-step explanation:

Formula for radioactive decay is:   , where Initial amount, Final amount after years and Half-life in years.

Given that, the sample from a fossil has 2 grams of carbon 14 and it had 10 grams of carbon 14 at the moment of its demise.

That means,  

The half-life of carbon 14 is 5730 years. So,   years.

Now according to the above formula, we will get......

Taking logarithm on both sides......

Thus, the age of the fossil is 13305 years.

fwms@lil_ben06

step-by-step explanation:

his first public project he is asked to create a small scale drawing. the garden is a right triangle with base 25m and height 30m. are you trying to solve for the last side/hypotenuse? the irrational form of the answer would be 5\sqrt{61}