Use the fact that the quantity of a radioactive substance after t years is given by , where is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay). The half-life of carbon-14 is 5600 years. Find the amount of carbon-14 remaining after 11,500 years if Round your answer to four decimal places if required.
A) 29.2547 g
B) 57.4609 g
C) 0.0001 g
D) 9.8764 g
E) 20.5 g

Question

Use the fact that the quantity of a radioactive substance after t years is given by , where is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay).   The half-life of carbon-14 is 5600 years. Find the amount of carbon-14 remaining after 11,500 years if Round your answer to four decimal places if required. 
A) 29.2547 g 
B) 57.4609 g 
C) 0.0001 g 
D) 9.8764 g 
E) 20.5 g

Quizplus · Accepted Answer

The Answer of Use the fact that the quantity of a radioactive substance after t years is given by , where is the original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay).   The half-life of carbon-14 is 5600 years. Find the amount of carbon-14 remaining after 11,500 years if Round your answer to four decimal places if required. 
A) 29.2547 g 
B) 57.4609 g 
C) 0.0001 g 
D) 9.8764 g 
E) 20.5 g

Use the Fact That the Quantity of a Radioactive Substance