Answer:

Step-by-step explanation:
For this case we need to find the following integral:

And for this case we can use the substitution
from here we see that
, and if we solve for x we got
, so then we can rewrite the integral like this:

And if we distribute the exponents we have this:

Now we can do the integrals one by one:

And reordering the terms we have"

And rewriting in terms of x we got:

And that would be our final answer.
It will take 6 weeks for Brad to get twice the amount as Sonya.
Sonya will have $260 dollars and Brad will have $360
Answer:
243/506
Step-by-step explanation:
There are 24 total juice boxes.
18 of them are not grape
You have an 18/24 chance of picking not grape juice
The second time, 1 is removed, then another is removed. This creates:
(18/24)*(18/23)*(18/22) = 243/506