Answer:
$24
Step-by-step explanation:
You will plug in 8 for x :)
30 - (3/4)x
Since he loses 3/4 a dollar for every hour he can't work, (3/4) x 8 = 6. He will lose 6 dollars from this. 30 - 6 = 24.
His final profit is 24.
Hopes this helps:
Answer: 9
1. Simplify 1 + 2 to 3.
6 divided by 2 times 3
2. Simplify 6 divided by 2 to 3.
3 times 3
3. Simplify.
9
a.
![z=-\dfrac{5\sqrt3}2+\dfrac52i=5\left(-\dfrac{\sqrt3}2+\dfrac12i\right)=5e^{i5\pi/6}](https://tex.z-dn.net/?f=z%3D-%5Cdfrac%7B5%5Csqrt3%7D2%2B%5Cdfrac52i%3D5%5Cleft%28-%5Cdfrac%7B%5Csqrt3%7D2%2B%5Cdfrac12i%5Cright%29%3D5e%5E%7Bi5%5Cpi%2F6%7D)
![w=1+\sqrt3\,i=2\left(\dfrac12+\dfrac{\sqrt3}2i\right)=2e^{i\pi/3}](https://tex.z-dn.net/?f=w%3D1%2B%5Csqrt3%5C%2Ci%3D2%5Cleft%28%5Cdfrac12%2B%5Cdfrac%7B%5Csqrt3%7D2i%5Cright%29%3D2e%5E%7Bi%5Cpi%2F3%7D)
b. Not exactly sure how DeMoivre's theorem is relevant, since it has to do with taking powers of complex numbers... At any rate, multiplying
and
is as simple as multiplying the moduli and adding the arguments:
![zw=5\cdot2e^{i(5\pi/6+\pi/3)}=10e^{i7\pi/6}](https://tex.z-dn.net/?f=zw%3D5%5Ccdot2e%5E%7Bi%285%5Cpi%2F6%2B%5Cpi%2F3%29%7D%3D10e%5E%7Bi7%5Cpi%2F6%7D)
c. Similar to (b), except now you divide the moduli and subtract the arguments:
![\dfrac zw=\dfrac52e^{i(5\pi/6-\pi/3)}=\dfrac52e^{i\pi/2}](https://tex.z-dn.net/?f=%5Cdfrac%20zw%3D%5Cdfrac52e%5E%7Bi%285%5Cpi%2F6-%5Cpi%2F3%29%7D%3D%5Cdfrac52e%5E%7Bi%5Cpi%2F2%7D)
A.
When 0 is plugged in, it is 5*2^0=5*1=5, resulting in the point (0,5)
When 2 is plugged in, it is 5*2^2=5*4=20, resulting in the point (2,20)
The answer would actually be a 110 units because the bottom left corner had 20 units and the bigger square had 90.