Answer:
Beth earned $27,300 in commissions
Step-by-step explanation:
225,000 * 6.5% = 14,625
195,000 * 6.5% = 12,675
12,675 + 14,625 = 27,300
So, the answer is 27,300
Hope this helps! :)
Answer:
The value of k is 4 and q is 16.
Step-by-step explanation:
First, you have to expand the brackets by applying :
![{(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}](https://tex.z-dn.net/?f=%20%7B%28a%20%2B%20b%29%7D%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%202ab%20%2B%20%20%7Bb%7D%5E%7B2%7D%20)
![{x}^{2} + 8x + q = {(x + k)}^{2}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%208x%20%2B%20q%20%3D%20%20%7B%28x%20%2B%20k%29%7D%5E%7B2%7D%20)
![{x}^{2} + 8x + q = {x}^{2} + 2kx + {k}^{2}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%208x%20%2B%20q%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202kx%20%2B%20%20%7Bk%7D%5E%7B2%7D%20)
Next, you have to do it by comparison :
![{x}^{2} + 8x + q = {x}^{2} + 2kx + {k}^{2}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%208x%20%2B%20q%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%202kx%20%2B%20%20%7Bk%7D%5E%7B2%7D%20)
![by \: comparison](https://tex.z-dn.net/?f=by%20%5C%3A%20comparison)
![8x = 2kx](https://tex.z-dn.net/?f=8x%20%3D%202kx)
![8 = 2k](https://tex.z-dn.net/?f=8%20%3D%202k)
![k = 4](https://tex.z-dn.net/?f=k%20%3D%204)
![q = {k}^{2}](https://tex.z-dn.net/?f=q%20%3D%20%20%7Bk%7D%5E%7B2%7D%20)
![q = {4}^{2}](https://tex.z-dn.net/?f=q%20%3D%20%20%7B4%7D%5E%7B2%7D%20)
![q = 16](https://tex.z-dn.net/?f=q%20%3D%2016)
Answer: option "b"
Step-by-step explanation: fraction is just a form of division
A) 4/10 and 10/25
These rations form a proportion.