A graph can be helpful for finding limits of integration.
The volume can be found using cylindrical shells of height (x-0.5x^2) and radius (3-x).
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The parabola whose area is shaded purple is the difference between the curves y=x and y=0.5x^2. The area under the parabola shaded purple is
(2/3)*height*width = (2/3)*(0.5)*2 = 2/3
The volume is that area multiplied by the circumference of the circle about which its centroid is revolved. That circle has radius 2, so its circumference is 4π. Then the volume is
V = (2/3)*4π = 8π/3
Answer:
25t + 100 = 550
Step-by-step explanation:
Notice that for every week, the balance increases by $25. That means t will be multiplied by 25 like this: 25t
There is already $100 on top of that, so add 100 to it like this: 25t + 100
Since Adam is saving for a $550 computer, this sum has to equal 550
25t + 100 = 550
If you want to find out how many weeks it will take to get that computer, subtract 100 from both sides
25t + 100 = 550
- 100 - 100
25t = 450
Divide both sides by 25
25t/25 = 450/25
t = 18
It will take Adam 18 weeks to save up and buy that computer.
I think the answer is (0,2)
Answer:
-44
Step-by-step explanation:
Since a is -2 and y equals 7 we can plug them both into the expression to get -2 - 6(7) which after simple math results in the answer of -44.
Answer:
The answer is 16.8%
Step-by-step explanation:
First, find the difference in the price, which is $78. You can then use that number to find the percentage by dividing the difference by the original price, then moving the decimal over to the right twice. You prove this with the discount equation. $387= $465-(16.8%*465). You will get a number similar to 387, but that is only because you are using a rounded percentage.