Prehistoric cave paintings were discovered in a cave in france. the paint contained 15% of the original carbon-14. estimate the age of the paintings. use the formula.. "a=a0e^(-0.000121t)" to answer the question

Solving the exponential equation, it is found that the painting is 15,679 years old.

The amount of carbon-14 after t years is modeled by the following equation:

It retains 15% of the original amount, thus:

Solving for t, we find the age.

The painting is 15,679 years old.

A similar problem is given at link

We have to determine the time it takes for carbon 14 to decay to 15% of its original amount.

The half life of carbon 14 is 5,730 years

elapsed time = half life * log (beginning amount / ending amount) / log 2

elapsed time = 5,730 * log (100 / 15) / log 2

elapsed time = 5,730 * 0.82390874094 / 0.30102999566

elapsed time = 5,730 * 2.7369655942

elapsed time = 15,683 years

= 15,700 years

Step-by-step explanation:

step-by-step explanation: