Answer:
58p+15
Step-by-step explanation:
First, we want to get rid of the parentheses in the equation. To do that, let's start with 7(1+10p). We multiply 7 by each item in the parenthesis, and get 7+70p. Keep that little thing in mind, we will use it later. Next, same process with the other part, and we get 8+48p. We multiplied both parts out, so now we just add like terms. 7 and 8 don't have letters, so we add them to get 15. 10p and 48p do have letters, so we add those together and get 58p. We can't add that to the other numbers, because 58p is 58 times p, and 15 doesn't have that p so it wouldn't work without knowing p. What we are left with, by simplifying the problem, is 58p+15, or 15+58p. The order doesn't matter, as long as you have that answer.
Answer:
number 5 is 11 and number 6 is 16
Step-by-step explanation:
you substitute a for 4 bc a equals 4 and than finish the equation 4+7=11
6. you substitute b for 2 and c for 8 and multiply which than is 16
The coordinates of the vertices of LMN acquired a -ve sign to form the image L'M'N'. The line passes through the origin.
Step-by-step explanation:
When a point is rotated through 180° about the origin clockwise/anticlockwise, the coordinates of the object point T (h,k) takes a new position (-h,-k) to form the image T'. A line joining an object point to its image point will pass through the origin that is the center of rotation.
Learn More
Rotation about the origin through 180°: brainly.com/question/7747099
Keywords : Rotate, origin,graph, triangle
#LearnwithBrainly
<h3>
<u>Explanation</u><u>:</u></h3>
- Calculate the slope with two given coordinate points by using rise over run.
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D%20)
Let these points
![\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}](https://tex.z-dn.net/?f=%20%5Cbegin%7Bcases%7D%28x_1%2C%20y_1%29%20%3D%20%28%20-%204%2C%20%20-%201%29%20%5C%5C%20%28x_2%2C%20y_2%29%20%3D%20%28%202%2C%20%208%29%20%5Cend%7Bcases%7D)
![m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B8%20-%20%28%20-%201%29%7D%7B2%20-%20%28%20-%204%29%7D%20%20%5C%5C%20m%20%3D%20%20%5Cfrac%7B8%20%2B%201%7D%7B2%20%2B%204%7D%20%20%5CLongrightarrow%20%5Cfrac%7B9%7D%7B6%7D%20%20%5CLongrightarrow%20%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C%20m%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20)
![y = mx + b \\ m = slope \\ b = y - intercept](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b%20%5C%5C%20m%20%3D%20slope%20%5C%5C%20b%20%3D%20y%20-%20intercept)
Substitute the value of m in the equation.
![y = \frac{3}{2} x + b](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20%2B%20b)
- Substitute any coordinate points that are given or part of the graph in the equation.
![(x_, y) = ( - 4, - 1)](https://tex.z-dn.net/?f=%28x_%2C%20y%29%20%3D%20%28%20-%204%2C%20%20-%201%29)
![- 1 = \frac{3}{2} ( - 4) + b](https://tex.z-dn.net/?f=%20-%201%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20%28%20-%204%29%20%2B%20b)
- Solve the equation for b-term.
![- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b](https://tex.z-dn.net/?f=%20-%201%20%3D%20%20%5Cfrac%7B3%7D%7B%20%5Ccancel%7B2%7D%7D%20%28%20%5Ccancel%7B%20-%204%7D%29%20%20%20%2B%20b%5C%5C%20%20-%201%20%3D%203%28%20-%202%29%20%2B%20b%20%5C%5C%20%20-%201%20%3D%20%20-%206%20%2B%20b%20%5C%5C%20%20-%201%20%2B%206%20%3D%20b%20%5C%5C%205%20%3D%20b)
- Rewrite the equation by substituting the value of b in the equation.
![y = \frac{3}{2} x + 5](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20%2B%205)
<h3>
<u>Answer</u></h3>
![\large \boxed{y = \frac{3}{2} x + 5}](https://tex.z-dn.net/?f=%20%5Clarge%20%5Cboxed%7By%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20x%20%2B%205%7D)
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Answer: $95450
Step-by-step explanation:
We obviously want to look in the 3rd column.
Income that can be taxed is within interval for 33%, so (0.33)(315000) = $103950.
Subtract the tax credit, and we get $103950 - $8500 = $95450.