EXPLANATION
If receive 15% of a profit, and considering a total profit of $600, the amount is given by the expression:
Profit = 15% of 600
We must turn 15% into a decimal form by dividing it by 100 as follows:
15/100 = 0.15
So, the computed value is:
Profit = 0.15 x 600 = $90
The answer is $90.
Answer: 2
Step-by-step explanation:
If 4 students each get as many as possible but have the same amount it would be 6. 4x6=24. 26-24=2
Okay so if the regular price of the shirt is 100% as $25 and you have a 30% discount you are still paying 70% (100-30=70) so 70% as a decimal is .70 and $25 x .70 is $17.50. Therefore the shirt is $17.50 after the discount.
Answer:
2/16
Step-by-step explanation:
your adding 2 and 16 so 2/16
Answer:
Step-by-step explanation:
The formula for the volume for a solid of revolution about the x-axis on an interval [a,b] is
If y = 4 - ½x, a = 1, and b = 2,
![\displaystyle V = \int_{1}^{2} \pi (4 - \frac{1}{2}x)^{2}dx = \pi \int_{1}^{2} \left(\dfrac{8-x }{2}\right)^{2}dx=\dfrac{\pi }{4}\int_{1}^{2} \left(8-x\right)^{2}dx\\\\=-\dfrac{\pi }{4}\times \dfrac{1}{3}\left[ 8 - x)^{3}\right]_{1}^{2}= -\dfrac{\pi }{12 }\left [512 - 192x + 24x^{2}-x^{3} \right ]_{1}^{2}\\\\=-\dfrac{\pi }{12}(512 - 384 + 96-8) + \dfrac{\pi }{12}(512 - 192 +24 -1)\\\\= -\dfrac{216\pi }{12} + \dfrac{343\pi }{12} = \mathbf{\dfrac{127 \pi}{12}\approx 33.25}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%20%3D%20%5Cint_%7B1%7D%5E%7B2%7D%20%5Cpi%20%284%20-%20%5Cfrac%7B1%7D%7B2%7Dx%29%5E%7B2%7Ddx%20%3D%20%5Cpi%20%5Cint_%7B1%7D%5E%7B2%7D%20%5Cleft%28%5Cdfrac%7B8-x%20%7D%7B2%7D%5Cright%29%5E%7B2%7Ddx%3D%5Cdfrac%7B%5Cpi%20%7D%7B4%7D%5Cint_%7B1%7D%5E%7B2%7D%20%5Cleft%288-x%5Cright%29%5E%7B2%7Ddx%5C%5C%5C%5C%3D-%5Cdfrac%7B%5Cpi%20%7D%7B4%7D%5Ctimes%20%5Cdfrac%7B1%7D%7B3%7D%5Cleft%5B%208%20-%20x%29%5E%7B3%7D%5Cright%5D_%7B1%7D%5E%7B2%7D%3D%20-%5Cdfrac%7B%5Cpi%20%7D%7B12%20%7D%5Cleft%20%5B512%20-%20192x%20%2B%2024x%5E%7B2%7D-x%5E%7B3%7D%20%5Cright%20%5D_%7B1%7D%5E%7B2%7D%5C%5C%5C%5C%3D-%5Cdfrac%7B%5Cpi%20%7D%7B12%7D%28512%20-%20384%20%2B%20%2096-8%29%20%2B%20%5Cdfrac%7B%5Cpi%20%7D%7B12%7D%28512%20-%20192%20%2B24%20-1%29%5C%5C%5C%5C%3D%20-%5Cdfrac%7B216%5Cpi%20%7D%7B12%7D%20%2B%20%5Cdfrac%7B343%5Cpi%20%7D%7B12%7D%20%3D%20%5Cmathbf%7B%5Cdfrac%7B127%20%5Cpi%7D%7B12%7D%5Capprox%2033.25%7D)
The solid looks like the graph below.
