The inequality <span>t < -6 states that t is a number that is less than -6, that is, is at the left side of -6 in the number line. Therefore from the options given, -7 in option B is the correct answer.</span>
Answer: C. 13,839 (the answer is not among the given options, however the result is near this value)
Step-by-step explanation:
The exponential decay model for Carbon-
14 is given by the followig formula:
(1)
Where:
is the final amount of Carbon-
14
is the initial amount of Carbon-
14
is the time elapsed (the value we want to find)
On the other hand, we are told the current amount of Carbon-14 is , assuming the initial amount of Carbon-14 is :
(2)
This means: (2)
Now,finding from (1):
(3)
Applying natural logarithm on both sides:
(4)
(5)
(6)
Finally:
This is the age of the paintings and the option that is nearest to this value is C. 13839 years