The half-life of carbon-14, 14C, is approximately 5,730 years. A bone fragment is estimated to have originally contained 6 milligrams of 14C. Write the exponential decay equation where A is the amount (in mg) of carbon-14 remaining in the bone fragment after t years.

Step-by-step explanation:

The general formula for exponential decay given a half-life is

where N(t) is the amount at time t, is the initial amount (at time t=0), and is the half life of the substance.

The half life of carbon-14, is approximately 5,730 years.

= 5730 years

= 6 milligrams

Therefore:

Amount of carbon-14 remaining in the bone fragment after t years is:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,