Answer:
You will have $1628.16 per month in discretionary money.
Step-by-step explanation:
In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings. Since there are 12 months in a year, your monthly income is $3072. Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%. The remaining percentage of your income would be considered discretionary, which would account for 53%. To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.
The equation is 
<u>Explanation:</u>
We have to first find the mid-point of the segment, the formula for which is
So, the midpoint will be 
= 
It is the point at which the segment will be bisected.
Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula 
The slope is 
= 
Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of is 
To write an equation, substitute the values in y = mx + c
WHere,
y = -1
x = 3
m = 3/2
Solving for c:
Thus, the equation becomes:
Answer: A
Step-by-step explanation:
A linear function is described as:
https://tex.z-dn.net/?f=f(x)%20%3D%20ax%20%2B%20b
When the value of x = 0, then you're left with
https://tex.z-dn.net/?f=f(x)%20%3D%20b
In this question, the speed of sound is the linear function while the temperature is the independent variable. When T = 0, you're left with
https://tex.z-dn.net/?f=S(0)%20%3D%20331.4
Which means the speed of sound in air when temperature is 0°C is 331.4m/s.
You have an equation:18ft=$140. To find the unit rate for ft, divide both by 18:/18ft= $140/18= $7.78/1ft.
<u>Importance of origin:</u>
The point at which the two axes intersect is called the origin. The intersecting x- and y-axes divide the coordinate plane into four sections.
The origin is at 0 on the x-axis and 0 on the y-axis. Since the origin has an x-coordinate of 0 and a y-coordinate of 0, its ordered pair is written (0, 0).
The origin is used to determine the coordinates for every other point on the graph. It is generally the starting point on a grid.
In general, origin is the place where something comes from or the place where something originates.
