An archaeologist locates a fossil of an early human skeleton. To determine the age of the fossil, the archaeologist utilizes a technique called carbon dating, where the relative amount of carbon-14 can help determine the age of the fossil. Carbon-14 has a half-life of about 5700 years. He finds that the fossil contains 15% of the amount of carbon-14 anticipated when compared to a living femur of the same size. The decay of carbon-14 can be calculated as shown below, where N0 is original amount of carbon-14, t is the time of decay, in years, r represents the rate of decay, and N(t) represents the amount of carbon-14 remaining. Rounded to the nearest year, the skeleton is approximately years old.

The skeleton is approximately 18970 years old.

Step-by-step explanation:

The amount of Carbon-14 remaining after t years is given by the following equation:

In which N(0) is the initial amount and r is the decay rate, as a decimal.

Carbon-14 has a half-life of about 5700 years.

This means that

So

So

He finds that the fossil contains 15% of the amount of carbon-14 anticipated when compared to a living femur of the same size.

The age is t for which N(t) = 0.15N(0). So

Rounding to the nearest year.

The skeleton is approximately 18970 years old.

costs the what? what is the cost of the pants?

step-by-step explanation:

if it is $10, then the price is 14.

take 40% of the cost, and then add the cost.

40% of 10 = 4

4+10 = 14.

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step-by-step explanation: