Answer: Fast
Just k1dding, in terms of setting up an equation for it, we know that 8.75 is the slope coefficient with months and 75 is the intercept.
So basically amount charged = monthly service fee(# months) + bank account base
Or with numbers
Amount charged = 8.75(num months) + 75.00
Now plug in 7 months
8.75(7)+75.00 = 61.25+75.00= $131.25.
The shapes are the same size. Match the sides.
3x -1 = 17
Add 1 to both sides:
3x = 18
Divide both sides by 3:
X = 6
2y = 16
Divide both sides by 2
Y = 8
Answer: x = 6, y = 8
All but the circle are functions
3x(y+5)
= 3xy+15x
= (Tienes que multiplicar dentro del paréntesis por 3x) <span />
Answer:
44.18 cubic unit
Step-by-step explanation:
The intersection of the curve 
and 
is
Since we are rotating the region where 
we will use the intersection x = 2 and y = 4
Using the shell method with x ranges from 0.5 to 2. The volume of the shell would be
where h is the difference between the y-coordinates of the curves, in other words
Plug h into the V integral and we have
![V = \int\limits^2_{0.5} {2\pi x (8 - 2x^2)} \, dx\\V = 4\pi\int\limits^2_{0.5} {(4x - x^3)} \, dx\\V = 4\pi[2x^2 - x^4/4]^2_{0.5}\\V = 4\pi(2*2^2 - 2^4/4 - 2*0.5^2 + 0.5^4/4)\\V = 4\pi(8 - 4 - 0.5 + 0.015625) \approx 44.18](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%5Climits%5E2_%7B0.5%7D%20%7B2%5Cpi%20x%20%288%20-%202x%5E2%29%7D%20%5C%2C%20dx%5C%5CV%20%3D%204%5Cpi%5Cint%5Climits%5E2_%7B0.5%7D%20%7B%284x%20-%20x%5E3%29%7D%20%5C%2C%20dx%5C%5CV%20%3D%204%5Cpi%5B2x%5E2%20-%20x%5E4%2F4%5D%5E2_%7B0.5%7D%5C%5CV%20%3D%204%5Cpi%282%2A2%5E2%20-%202%5E4%2F4%20-%202%2A0.5%5E2%20%2B%200.5%5E4%2F4%29%5C%5CV%20%3D%204%5Cpi%288%20-%204%20-%200.5%20%2B%200.015625%29%20%5Capprox%2044.18)
