The ratio between the departments is
A: B: C
15000 : 18000 : 9000
15 : 18 : 9
5 : 6 : 3
The budget needs to be divided into 5+6+3 = 14 parts
The budget for one part is 22000/14
The budget for department B is
Rounded to the nearest dollar, the budget is $9429
Answer:
48 people
Step-by-step explanation:
First, find how many were left after the first stop:
120(0.5)
= 60
Find how many were left after the second stop:
60(0.8)
= 48
So, since the rest got off on the third stop, this means 48 people got off on the third stop.
Answer:
The volume of the solid is 
Step-by-step explanation:
In this case, the washer method seems to be easier and thus, it is the one I will use.
Since the rotation is around the y-axis we need to change de dependency of our variables to have 
. Thus, our functions with 
as independent variable are:
For the washer method, we need to find the area function, which is given by:
![A=\pi\cdot [(\rm{outer\ radius)^2 -(\rm{inner\ radius)^2 ]](https://tex.z-dn.net/?f=A%3D%5Cpi%5Ccdot%20%5B%28%5Crm%7Bouter%5C%20radius%29%5E2%20-%28%5Crm%7Binner%5C%20radius%29%5E2%20%5D)
By taking a look at the plot I attached, one can easily see that for a rotation around the y-axis the outer radius is given by the function 
and the inner one by 
. Thus, the area function is:
![A(y)=\pi\cdot [(\sqrt{y} )^2-(y^2)^2]\\A(y)=\pi\cdot (y-y^4)](https://tex.z-dn.net/?f=A%28y%29%3D%5Cpi%5Ccdot%20%5B%28%5Csqrt%7By%7D%20%29%5E2-%28y%5E2%29%5E2%5D%5C%5CA%28y%29%3D%5Cpi%5Ccdot%20%28y-y%5E4%29)
Now we just need to integrate. The integration limits are easy to find by just solving the equation 
, which has two solutions 
and 
. These are then, our integration limits.
1/2x - 3 = 3/2x + 4
-4 - 3 = 3/2x - 1/2x
-7 = x <===
if you had two,two digit number it can no result in a 4 digit number
