46+45=91
Hope this helps!
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
and that is the answer.
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)
And the answer is -32 -32 √3 i
Summary:
1) -243/√2 + 243/√2 i
2)-32 -32 √3 i
Answer:
The percentage of the markup is 82%
Step-by-step explanation:
In this question, we are asked to calculate the percentage of mark up. This is simply calculating the percentage of the profit margin.
firstly to be able to calculate this percentage, we need to know the value of the profit margin itself.
mathematically, the profit margin is selling price - cost price
From the question, the selling price is $1 while the cost price is 55 cents
The profit margin is thus $1 - 55 cents = 45 cents
We now proceed to calculate the percentage profit
mathematically, that is profit/cost price * 100%
That would be 45 cents/55 cents * 100 = 9/11 * 100% = 81.8 approximately 82%
I cant really see the letters but the ones that are going straight up. I believe this is the answer because as you can see it's going up without intersecting between each other.
