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marysya [2.9K]
3 years ago
8

The price of a technology stock has dropped to $9.79 yesterday. Today. the price fell to $9.68. Find the percentage decrease.

Mathematics
1 answer:
Citrus2011 [14]3 years ago
4 0
The answer is 1.12% decrease
Explanation in image

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Triangle DEF is rotated 180 degrees about the origin to form triangle D'E'F'.What are the coordinates of the vertices of triangl
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D

Step-by-step explanation:

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Hi, I am new to this website :) I'm currently taking an online trig class on De Moivre's theorem and I don't understand it at al
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De Moivre's theorem uses this general formula z = r(cos α + i<span> sin α) that is where we can have the form a + bi. If the given is raised to a certain number, then the r is raised to the same number while the angles are being multiplied by that number.

For 1) </span>[3cos(27))+isin(27)]^5 we first apply the concept I mentioned above where it becomes

[3^5cos(27*5))+isin(27*5)] and then after simplifying we get, [243 (cos (135) + isin (135))] 

it is then further simplified to 243 (-1/ √2) + 243i (1/√2) = -243/√2 + 243/<span>√2 i
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For 2) </span>[2(cos(40))+isin(40)]^6, we apply the same steps in 1)

[2^6(cos(40*6))+isin(40*6)],

[64(cos(240))+isin(240)] = 64 (-1/2) + 64i (-√3 /2)

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Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i

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Step-by-step explanation:

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