An artifact originally had 16 grams of carbon- 14 present. The decay model A=16 e^{-0.000121 t} describes the amount of carbon-14 present after t years. Use the model to determine how many grams of carbon-14 will be present in 5710 years.

Question

Accepted Answer

Step:1 ：Given that the initial amount of carbon-14 present in the artifact is (A_0 = 16) grams, the decay constant is (k = -0.000121), and the time is (t = 5710) years.Step:2 ：We are asked to find the amount of carbon-14 present after 5710 years. We can use the given decay model (A = A_0 e^{kt}) to calculate this.Step:3 ：Substitute the given values into the decay model: (A = 16 e^{-0.000121 times 5710}).Step:4 ：Calculate the result to find the amount of carbon-14 present after 5710 years.Step:5 ：Final Answer: The amount of carbon-14 present after 5710 years will be approximately (boxed{8.02}) grams.

Answer

Step: 1 ：Given that the initial amount of carbon-14 present in the artifact is (A_0 = 16) grams, the decay constant is (k = -0.000121), and the time is (t = 5710) years.Step: 2 ：We are asked to find the amount of carbon-14 present after 5710 years. We can use the given decay model (A = A_0 e^{kt}) to calculate this.Step: 3 ：Substitute the given values into the decay model: (A = 16 e^{-0.000121 times 5710}).Step: 4 ：Calculate the result to find the amount of carbon-14 present after 5710 years.Step: 5 ：Final Answer: The amount of carbon-14 present after 5710 years will be approximately (boxed{8.02}) grams.

An artifact originally had 16 grams of carbon- 14 present. The decay model $A = 16 e^{- 0.000121 t}$ describes the amount of carbon-14 present after $t$ years. Use the model to determine how many grams of carbon-14 will be present in 5710 years.

Answer

Popular Problems

An artifact originally had 16 grams of carbon- 14 present. The decay model A=16e−0.000121t describes the amount of carbon-14 present after t years. Use the model to determine how many grams of carbon-14 will be present in 5710 years.

Answer

Popular Problems

An artifact originally had 16 grams of carbon- 14 present. The decay model $A = 16 e^{- 0.000121 t}$ describes the amount of carbon-14 present after $t$ years. Use the model to determine how many grams of carbon-14 will be present in 5710 years.