The answer is D that is (18+41)+12 = 18+(41+12)
because A,B,C can be only be associative when
(A+B)+C= A+(B+C)
So by comparing the associative law with the options above , you will be able to get your answer
In one year
1 + (23/100) = (1 + x)^12
1 + 0.23 = (1 + x)^12
(1 + x)^12 = 1.23
1 + x = 1.23^(1/12)
x = 1.23^(1/12) - 1
x =~ 0.017400841772181508280113627030242
That's about 1.74% per month (which is about 20.881% per year), compounded monthly, to equal 23% per year, compounded annually.
So I believe you can write
<span>I=(1+.0174<span>)<span>12t</span></span></span>or<span><span>I=<span>1.0174<span>12t</span></span></span></span>
from given figure, we obtain that the points R, T and B are on the same line, that is, on the edge of the rectangular pyramid.
So these points are collinear.
Also all these points on the same plane. Therefore, the points R, T and B are collinear and coplanar.
The third option is the correct answer
Answer:
- radius: 1.84 in
- height: 3.68 in
Step-by-step explanation:
After you've worked a couple of "optimum cylinder" problems, you find that the cylinder with the least surface area for a given volume has a height that is equal to its diameter. So, the volume equation becomes ...
V = πr²·h = 2πr³ = 39 in³
Then the radius is ...
r = ∛(39/(2π)) in ≈ 1.83779 in ≈ 1.84 in
h = 2r = 3.67557 in ≈ 3.68 in
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The total surface area of a cylinder is ...
S = 2πr² + 2πrh
For a given volume, V, this becomes ...
S = 2π(r² +r·(V/(πr²))) = 2πr² +2V/r
The derivative of this with respect to r is ...
S' = 4πr -2V/r²
Setting this to zero and multiplying by r²/2 gives ...
0 = 2πr³ -V
r = ∛(V/(2π)) . . . . . . . . looks a lot like the expression above for r
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If we substitute the equation for V into the equation just above this last one, we have ...
0 = 2πr³ - πr²·h
Dividing by πr² gives ...
0 = 2r - h
h = 2r . . . . . generic solution for cylinder optimization problems
34, im not sure if its right though
