Afarmer in china discovers a mammal hide that contains 37% of its original amount of c-14. find the age of the mammal hide to the nearest year.

54678 years

Step-by-step explanation:

This can be solved by the following equation:

(1)

Where:

is the quantity of atoms of carbon-14 left after time

is the initial quantity of atoms of C-14 in the mammal hide

is the rate constant for carbon-14 radioactive decay

is the time elapsed

On the other hand, has a relation with the half life of the C-14, which is :

(2)

Substituting (2) in (1):

(3)

Applying natural logarithm on both sides of the equation:

(4)

(5)

Isolating :

(6)

(7)  This is the age of the mammal hide

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3