25% is 0.25 in decimal form
800+25% of 800
800+(0.25×800)
800+200
1000 is the price
Answer: A: (6, 5)
Step-by-step explanation:
When graphing a system of equations, you can find the solution by finding where the graphs intersect. In this case, the graphs intersect at (6, 5).
To verify that this is indeed a solution to the system of equations, we can substitute (6, 5) into both of the given equations:
![y = \frac{1}{2}x + 2](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%202)
![5 = \frac{1}{2} * 6 + 2](https://tex.z-dn.net/?f=5%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%206%20%2B%202)
![5 = 3 + 2](https://tex.z-dn.net/?f=5%20%3D%203%20%2B%202)
![5 = 5](https://tex.z-dn.net/?f=5%20%3D%205)
![y = x - 1](https://tex.z-dn.net/?f=y%20%3D%20x%20-%201)
![5 = 6 - 1](https://tex.z-dn.net/?f=5%20%3D%206%20-%201)
![5 = 5](https://tex.z-dn.net/?f=5%20%3D%205)
Since both equations hold true when plugging in the given coordinate (6, 5), we know that this is a solution to the system of equations.
Answer:
$3,078.04
Step-by-step explanation:
-Given her income is $27,267, she falls under the 10% and 12% brackets with the following boundaries as attached.
-Her tax is then calculated as;
#10% bracket;
![Tax=Taxable \ Income \times Tax \ Rate\\\\=9700\times 10\%\\\\\\=\$970.00](https://tex.z-dn.net/?f=Tax%3DTaxable%20%5C%20Income%20%5Ctimes%20Tax%20%5C%20Rate%5C%5C%5C%5C%3D9700%5Ctimes%2010%5C%25%5C%5C%5C%5C%5C%5C%3D%5C%24970.00)
#12% Tax bracket:
![Tax=Taxable \ Income \times Tax \ Rate\\\\=(27267-9700)\times 12\%\\\\\\=\$2108.04](https://tex.z-dn.net/?f=Tax%3DTaxable%20%5C%20Income%20%5Ctimes%20Tax%20%5C%20Rate%5C%5C%5C%5C%3D%2827267-9700%29%5Ctimes%2012%5C%25%5C%5C%5C%5C%5C%5C%3D%5C%242108.04)
The total tax=970+2108.04=$3,078.04
Hence, Lynn owes $3,078.04 in taxes.