Profit = Income - cost
Profit = 10s - (28 + 3s) = 10s - 28 -3s = 7s - 28.
Profit = 0
0 = 7s - 28
7s = 28
7s = 28/7
s = 4. This is the breakeven point.
Carlota must sell more than 4 shirts to make a profit
Answer:
The radius of the balloon is increasing at a rate of 4 feet per minute.
Step-by-step explanation:
We are given the following in the question:
![\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%2064%5Cpi%20%5Cdfrac%7B%5Ctext%7B%20ft%7D%5E3%7D%7B%5Ctext%7Bmin%7D%7D)
Volume of sphere is given by
![V = \dfrac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%20%3D%20%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
where r is the radius of the balloon.
Instant radius, r = 2 ft
Rate of change of volume =
![\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}](https://tex.z-dn.net/?f=%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D%20%5Cdfrac%7Bd%7D%7Bdt%7D%28%5Cdfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%29%5C%5C%5C%5C%5Cdfrac%7BdV%7D%7Bdt%7D%20%3D4%5Cpi%20r%5E2%5Cdfrac%7Bdr%7D%7Bdt%7D)
Putting values, we get,
![64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4](https://tex.z-dn.net/?f=64%5Cpi%20%3D%204%5Cpi%20%282%29%5E2%5Cdfrac%7Bdr%7D%7Bdt%7D%5C%5C%5C%5C%5CRightarrow%20%5Cdfrac%7Bdr%7D%7Bdt%7D%20%3D%204)
Thus, the radius of the balloon is increasing at a rate of 4 feet per minute.
She is incorrect cause if we take the number 20 and take 25% of it it equals 5 so now 20 is only 15. They if we take 75% away from 20 is equals 15 so then we only have 5 from 20 left. Therefore she’s incorrect because 75% leaves 5/20 and 25% leaves 15/20. Hope that makes sense.
You would divide 24 by 5 so the length would end up being: 4.8 in
Hope it helps!