You can simplify this down further.
So now you have:
This makes working out the second part of the question easier. As you've stated:
A substance decays at a rate proportional to the amount present, and half of the original quantity Yo is left after 1000 years. What is the percent of the original quantity Yo left after 2000 years?
basically i use the formula
Y = Yo*e^(-kt)
then i solve for k
After i get k, then i solve for Y.
is this correct?
Hello, break!
A substance decays at a rate proportional to the amount present,
and half of the original quantity Yo is left after 1000 years.
What is the percent of the original quantity Yo left after 2000 years?
Basically i use the formula: .
then i solve for
. .
. . .
. wrong!
We have: .
Then: .
Therefore, the function is: .
~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~
The answer can be further simplified . . .
. .