Prehistoric cave paintings were discovered in a cave in France. The paint contained 3% of the original carbon-14. Use the exponential decay model for carbon-14, A=A0e^-0.000121t, to estimate the age of the paintings.

The painting area approximately __ years old.

The painting area is approximately 28980 years old.

Step-by-step explanation:

The model for the amount of carbon-14 after t years is given by:

In which A(0) is the original amount.

The paint contained 3% of the original carbon-14.

This means that . This means that we have to find t.

The painting area is approximately 28980 years old.

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.