Answer:
Example: g(x) = 0.5(x+2)^3
Step-by-step explanation:
The correct answer choice should match the following:
- A vertical compression means x^3 is multiplied by a number less than 1. Look for a fraction or decimal less than 1 as the leading coefficient.
- A shift to the left it produced by adding values inside the operation to the input. Look for (x+2)^3 or (x+12)^3.
<span>The Federal Insurance Contributions Act (FICA) requires employers to withhold a certain percentage of an employee's income as tax. The categories are:
6.2% as social security tax
1.45% as Medicare tax
0.9% as Medicare surtax for employees earning more than $200,000
In this case, the percentage of tax applied will be 6.2 + 1.45 = 7.65%
The FICA tax will be 165,000 * 0.0765
FICA tax = $12,622.50</span>
can you show me a picture then maybe i can help you
Answer:
Step-by-step explanation:
α and β are Supplementary (given)
It is given that:
Plugging the value of α in equation (1), we find:
So,
![\alpha = 108\degree, \: \beta = 72\degree](https://tex.z-dn.net/?f=%20%5Calpha%20%3D%20108%5Cdegree%2C%20%5C%3A%20%5Cbeta%20%3D%2072%5Cdegree%20)
Answer:
(a) The sum of the previous term and 9
(b) 36, 45, 54
Step-by-step explanation:
Given
Sequence: Arithmetic Progression
![0,9,18,27](https://tex.z-dn.net/?f=0%2C9%2C18%2C27)
Solving (a): Describe the relationship in each term
First, we calculate the common difference (d)
In arithmetic progression:
![d = T_n - T_{n-1}](https://tex.z-dn.net/?f=d%20%3D%20T_n%20-%20T_%7Bn-1%7D)
Take n as 2
![d = T_2 - T_{2-1}](https://tex.z-dn.net/?f=d%20%3D%20T_2%20-%20T_%7B2-1%7D)
![d = T_2 - T_{1}](https://tex.z-dn.net/?f=d%20%3D%20T_2%20-%20T_%7B1%7D)
Where
![T_2 = 9\ and\ T_1 = 0](https://tex.z-dn.net/?f=T_2%20%3D%209%5C%20and%5C%20T_1%20%3D%200)
![d =9-0](https://tex.z-dn.net/?f=d%20%3D9-0)
![d =9](https://tex.z-dn.net/?f=d%20%3D9)
<em>The relationship is: The sum of the previous term and 9</em>
Solving (b): The next three terms
As said in (a) each term is derived from a sum of 9 and the previous term
So, we have:
![Next\ Term = 27 + 9 = 36](https://tex.z-dn.net/?f=Next%5C%20Term%20%3D%2027%20%2B%209%20%3D%2036)
![Next = 36 + 9 = 45](https://tex.z-dn.net/?f=Next%20%3D%2036%20%2B%209%20%3D%2045)
![Next = 45 + 9 = 54](https://tex.z-dn.net/?f=Next%20%3D%2045%20%2B%209%20%3D%2054)
Hence, the next three terms are: 36, 45 and 54