Mathematics, 23.09.2016 16:55

# The half life of carbon-14 is 5,730 years, assuming you start with 100% of carbon-14, what is the expression for the percent, p(t), of carbon-14 that remains in an organism that is t years old and what is the percent of carbon-14 remaining (rounded to the nearest whole percent) in an organism estimated to be 20,000 years old?

hint: the exponential equation for half life s p(t)=ao(0.5)^t/h, where p(t) is the percent of carbon-14 remaining, ao, is the initial amount (100%), t is age of organism in years, and h is the half life.

a. p(t)=100(0.5)^5,730t, 29% remaining

b. p(t)=100(0.5)^5,730/t, 91% remaining

c. p(t)= 5,730(0.5)^100t, 5,710 remaining

d. p(t)=100(0.5)^t/5,730, 9% remaining

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