approximate age of the artifact using carbon decay

In the formula A=I e^(kt),
A is the amount of material remaining from an initial amount I at a given time t and k is negative constant determined by the nature of the material.
If it has 53% of the carbon it originally contained, what is the approximate age of the artifact? (carbon decays @ a rate of 0.0125% annually.) Round to the nearest year.

What formula do I use??
4240 yr
5079 yr
2206 yr
3760 yr

Solution Summary

The solution shows how to calculate the age of the artifact using logarithmic and exponential decay.

The equation for radioactive decay is: N(t) = Noe-kt, where No is the initial number of radioactive atoms, N(t) is the number of radioactive atoms left after a time t, and k is thedecay constant. The half-life of carbon 14 is about 5730 years.
Radioactive carbon dating makes the assumption that living things absorb carbon 14

The radioactive carbon-14 in an organism at the time of its death decays according to the equation
A=A_0*exp(-0.000124t),
where t is time in years and A_0 is the amount of carbon-14 present at time t=0. Estimate theage of a skull uncovered in an archaeological site if 10% of the original amount of carbon-14 is still pres

Which of the following statements are true about decay rates and half-life?
True False a large decay constant implies a long half-life
True False in carbon dating, the radioactive isotope of carbon that is used is carbon-12
True False half-life is the time it takes for a radioactive sample to decay away to nothing

Question 1:
A seismograph 300 km from the epicenter of an earthquake recorded a maximum amplitude of 5.9 x 10^2 µm. Find this earthquake's magnitude on the Richter scale.
Question 2:
An artifact was found and tested for its carbon-14 content. If 81% of the original carbon-14 was still present, what is its probable age

Hello, I am having trouble with these 6 questions, can someone please help. The problems are attached.
1-In the formula A = Iekt , A is the amount of radioactive material remaining from an initial amount I at a given time t and k is a negative constant determined by the nature of the material. An artifact is discovered at a

Carbon-14 datin of ancient objects requires that material to be organic in order to assay its age. You hear someone sat that a dinosaur bone ws carbon dated to be 75 million yaers old. What are two specific reasons that this claim is incorrect?

1. A wooden archeological artifact is reported to be 2000 years old on the basis of carbon-14 dating. What is the fraction of carbon-14 found in the specimen to that found in new wood? The half-life of carbon-14 is 5700 years.
a. 1.0
b. 0.0
c. 0.784
d. 0.627
2. How many protons and how many neutrons

Theage of a piece of wood from an ancient source is determined by carbon dating. Thecarbon-14 content of a sample of the wood is found to be one-fourth that of living trees. The half life of carbon-14 is 5730 years. How old is the piece of wood?

What are the scientific principles that allow archaeologists to date charcoal, bone, or other organic materials that they find in archaeological contexts?