Answer:
d. -38
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is as follows:

In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:

In this question:

17th term:

So the correct answer is:
d. -38
Answer:
Step-by-step explanation:
To calculate the midpoint, you need to plug in the values of x and y into the midpoint formula.
M ( x1 + x2/2 , y1 + y2/2)
M [ -8 + 4/2 , -7 + 9/2]
M ( -2, 1)
Answer:
The Social Security Administration increased the taxable wage base from $106,800 to $110,100.
A:
The percent increase in the base =
%
B:
Previous year tax =
dollars
This year tax =
dollars
Increase in tax =
dollars
Hence, Joe’s increase in Social Security tax for the new year is $204.60.
Answer:
Bill received 13.68 change back.
Step-by-step explanation:
20-6.32=13.68
Answer:
Length of the rectangle = 16 inches
Width of the rectangle = 12 inches
Step-by-step explanation:
Let the length of the rectangle be represented by x.
Then width can be expressed as ![\[\frac{x}{2}+4\] ](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7Bx%7D%7B2%7D%2B4%5C%5D%0A)
Perimeter of a rectangle is the sum of four sides of the rectangle.
This can be expressed as 2*(length + breadth)
= ![\[2* (x + \frac{x}{2}+4)\]](https://tex.z-dn.net/?f=%5C%5B2%2A%20%28x%20%2B%20%5Cfrac%7Bx%7D%7B2%7D%2B4%29%5C%5D)
= ![\[2* (\frac{3x}{2}+4)\]](https://tex.z-dn.net/?f=%5C%5B2%2A%20%28%5Cfrac%7B3x%7D%7B2%7D%2B4%29%5C%5D)
= ![\[3x + 8\]](https://tex.z-dn.net/?f=%5C%5B3x%20%2B%208%5C%5D)
But perimeter is given as 56.
So, ![\[3x + 8 = 56\] ](https://tex.z-dn.net/?f=%5C%5B3x%20%2B%208%20%3D%2056%5C%5D%0A)
=> ![\[3x = 48\]](https://tex.z-dn.net/?f=%5C%5B3x%20%3D%2048%5C%5D)
=> ![\[x = 16\]](https://tex.z-dn.net/?f=%5C%5Bx%20%3D%2016%5C%5D)
Hence length of the rectangle = 16 inches
Width of the rectangle =
= 12 inches