Hi there!
Your question:
8.5 + 49(1-2.5k)=24.5
My answer:
8.5 + 4(1-2.5k) = 24.5 >>>>>>> first, you have to distribute
8.5 + 4 - 10k = 24.5 >>>>>>>> now, we are going to combine like terms.
12.5 - 10k = 24.5 >>>>>> now, we are going to subtract 12.5 on both sides
-10k = 12 >>>>>>>>> finally, divide -10 on both sides
k = -1.2
Hope this helps you!
Answers:
a. -80
b. -60
c. 98
d. -54
Answer:
The statement is True!
Step-by-step explanation:
Clare paid full price for an item.
Let Price of the item = x
Han bought the same item for 80% of the full price.
Han bought it for 0.8x
Clare said, I cants believe I paid 125% of what you paid, Han!
The above statement is True if;
125% of 0.8x = x
1.25 * 0.8x = x
x =x
The statement is True!
If <em>z</em> ⁷ = 128<em>i</em>, then there are 7 complex numbers <em>z</em> that satisfy this equation.
![z^7 = 128i = 2^7i = 2^7e^{i\frac\pi2}](https://tex.z-dn.net/?f=z%5E7%20%3D%20128i%20%3D%202%5E7i%20%3D%202%5E7e%5E%7Bi%5Cfrac%5Cpi2%7D)
![\implies z=\sqrt[7]{2^7} e^{i\frac17\left(\frac\pi2+2n\pi\right)}](https://tex.z-dn.net/?f=%5Cimplies%20z%3D%5Csqrt%5B7%5D%7B2%5E7%7D%20e%5E%7Bi%5Cfrac17%5Cleft%28%5Cfrac%5Cpi2%2B2n%5Cpi%5Cright%29%7D)
(where <em>n</em> = 0, 1, 2, …, 6)
![\implies z = 2 e^{i\left(\frac\pi{14}+\frac{2n\pi}7\right)}](https://tex.z-dn.net/?f=%5Cimplies%20z%20%3D%202%20e%5E%7Bi%5Cleft%28%5Cfrac%5Cpi%7B14%7D%2B%5Cfrac%7B2n%5Cpi%7D7%5Cright%29%7D)
![\displaystyle\implies z = 2 \left(\cos\left(\frac\pi{14}+\frac{2n\pi}7\right)+i\sin\left(\frac\pi{14}+\frac{2n\pi}7\right)\right)](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cimplies%20z%20%3D%202%20%5Cleft%28%5Ccos%5Cleft%28%5Cfrac%5Cpi%7B14%7D%2B%5Cfrac%7B2n%5Cpi%7D7%5Cright%29%2Bi%5Csin%5Cleft%28%5Cfrac%5Cpi%7B14%7D%2B%5Cfrac%7B2n%5Cpi%7D7%5Cright%29%5Cright%29)
What percent is 88 of 106?
88/106
88 ÷ 106 ≈ .83
.83 × 100 = 83
83%
83% is 88 of 106.