Answer:
R 42.26
Step-by-step explanation:
To calculate the bill correctly we must add the orders separately and in the sweet cost when adding, we should write it as 0.59 not 59.
my order my friend's order
20.50 10.29
+ 10.29 + 0.59
<u> </u> 0.59
R 30.79 <u> </u>
R 11.47
<em>R 30.79 + R 11.47 = </em><em>R 42.26</em>
Answer:
1) w₁=4 - i w₂= -4 + i
2) w₁= 3 - i w₂= -3 + i
3) w₁= 1 + 2i w₂= - 1 - 2i
4) w₁= 2- 3i w₂= -2 + 3i
5) w₁= 5 - 2i w₂= -5 + 2i
6) w₁= 5 - 3i w₂= -5 + 3i
Step-by-step explanation:
The root of a complex number is given by:
![\sqrt[n]{z}=\sqrt[n]{r}(Cos(\frac{\theta+2k\pi}{n}) + i Sin(\frac{\theta+2k\pi}{n}))](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Bz%7D%3D%5Csqrt%5Bn%5D%7Br%7D%28Cos%28%5Cfrac%7B%5Ctheta%2B2k%5Cpi%7D%7Bn%7D%29%20%2B%20i%20Sin%28%5Cfrac%7B%5Ctheta%2B2k%5Cpi%7D%7Bn%7D%29%29)
where:
r: is the module of the complex number
θ: is the angle of the complex number to the positive axis x
n: index of the root
1) z = 15 − 8i ⇒ r=17 θ= -0.4899 rad
w₁=
=4-i
w₂=
=-1+i
2) z = 8 − 6i ⇒ r=10 θ= -0.6435 rad
w₁=
= 3 - i
w₂=
= -3 + i
3) z = −3 + 4i ⇒ r=5 θ= -0.9316 rad
w₁=
= 1 + 2i
w₂=
= -1 - 2i
4) z = −5 − 12i ⇒ r=13 θ= 0.4426 rad
w₁=
= 2- 3i
w₂=
= -2 + 3i
5) z = 21 − 20i ⇒ r=29 θ= -0.8098 rad
w₁=
= 5 - 2i
w₂=
= -5 + 2i
6) z = 16 − 30i ⇒ r=34 θ= -1.0808 rad
w₁=
= 5 - 3i
w₂=
= -5 + 3i
Answer: 6.403 miles; or, write as: 6.403 mi. .
__________________________________________________
Explanation:
_________________________________________________
5
--------------------------------------------
` right angle |_ |
` (right triangle ) |
` | 4
` |
`
"c" ` \
(hypotenuse) Starting point
__________________________________________________
Since we have a "right triangle, we solve for "c"; using the
"Pythagorean theorem" ;
_______________________________________________________
→ a² + b² = c² ; Solve for "c" ; our answer (in "miles"; or, "mi.") ;
__________________________________________________
Given : a = 4; b = 5 ;
____________________________
Plug these known values into our equation:
________________________________________
→ 4² + 5² = c² ;
____________________________
→ 16 + 25 = c² ; ↔ c² = 16 + 25 ;
______________________________
→ c² = 41 ;
_______________________________
→ Take the positive square root of each side of the equation (since the side of a "triangle" cannot be "negative";
__________________________________
→ √(c²) = √(41) ;
_____________________________
→ c = √41 ; Use calculator;
________________________________
→ c = 6.40312423743 ; Round to:
→ c = 6.403 miles; or, 6.403 mi.
__________________________________________
11.16 times 3.27 is 36.4932
SO the suit cost $95 and it has a discount of 10%
so 95*10/100=9.5
so 10% of 95 is 9.5
subtract 9.5 from 95 and that equals 85.5
then you have to add 4.5 percent sales tax
so 85.5+ 4.5%= 89.347
So the final cost would be $89.34
