Step-by-step explanation:
there are 35 in total.
4 go into one box.
so, how many in 8 boxes ?
well, 4×8 = 32
what is the difference between 32 and 35 ?
35 - 32 = 3
so, 3 models are still left.
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
Splashtown: 25 + 1x
Schlitterbahn: 40
25 + 1x = 40
-25 -25
0 1x = 15
x = 15
So after 15 rides, Schlitterbahn would be cheaper than Splashtown.
Answer:
The answer would be £198
principal (p) = 2200
Rate (R) = 0.5%
Time (T) = 18
Interest(I) = ?
Now,
or, Interest. = P×T×R/100
or, Interest = 2200×18×0.5/100
or, Interest = 19800/100
Hence, Interest = 198
Answer:
B) 6(x+2y) + 4 = 6x + 12 y + 4