The half-life of a certain element is about

5500 years. Use the radiometric dating formula to complete parts a) and b) below.

a. A piece of cloth is painted with organic dyes. By analyzing the dye in the cloth, it is found that only 69% of the certain element in the dye remains. When was the cloth painted?

b. A well-preserved piece of wood found at an archaeological site has 12.5%

of the certain element that it must have had when it was alive. Estimate when the wood was cut.

a. The cloth was painted approximately enter your response here years ago.

(Round to the nearest hundred as needed.)