Final answer:
The age of the mammal hide can be determined by using the decay formula for C-14 and calculating the time t based on the remaining 71% of C-14. The answer choices provided do not match the scenario, making the correct choice 'None of the above'.
Step-by-step explanation:
To find the approximate age of the mammal hide using C-14 dating, we must utilize the decay formula N = N0e-λt, where N is the remaining amount of C-14, N0 is the original amount of C-14, λ is the decay constant, and t is the time in years.
The decay constant can be calculated using the half-life formula λ = 0.693/t1/2, where the half-life t1/2 of C-14 is known to be 5730 years. Given that the hide contains 71% of its original C-14, we can equate N/N0 = 0.71.
First, we calculate the decay constant:
λ = 0.693/5730 = 1.209 × 10-4 years-1
Next, we input the values into the decay equation and solve for t:
0.71 = e-(1.209 × 10-4t)
Taking the natural logarithm of both sides:
ln(0.71) = -1.209 × 10-4t
Solving for t, we find the age of the hide.
Based on the information provided, none of the answer choices (A. N=0.25N0 B. N=0.29N0 C. Both A and B D. None of the above) correspond to the current scenario of 71% remaining C-14, making the correct answer D. None of the above.