$40,000
Let x be the sales amount.
600+0.02x=1000+0.01x
x=$40,000
Answer:
3.
Step-by-step explanation:
Find the midpoint of BC:
midpoint = (-1+5)/2, (2-2)/2 = (2, 0).
The slope of BC = (2 - -2) / (-1-5) = -2/3.
Find the equation of the right bisector of BC:
The slope = -1 / -2/3 = 3/2.
y-y1 = m(x-x1)
y - 0 = 3/2(x - 2)
y = 3/2x - 3.
Now find the equation of the median through C:
The midpoint of AB = (1 - 1)/2, (4+2)/2
= (0, 3).
The equation of the median:
The slope = (-2-3) / (5-0)
= -1.
The equation is:
y - 3 = -1(x - 0)
y -3 = -x.
Now we find the point of intersection by solving the 2 equations:
y - 3 = -x
y = 3/2x - 3
y = -x + 3
So:
3/2x - 3 = -x + 3
3/2x + x = 6
5/2 x = 6
x = 12/5.
y = -12/5 + 3
= -12/5 + 15/5
= 3/5.
The sum of the coordinates = 12/5 + 3 /5
= 15/5
= 3.
Answer:
B. AAS Congruence Theorem
Step-by-step explanation:
Previous steps showed congruence of a side of the designated triangle, and two angles that do not bracket that side. In short form, you have shown congruence of ...
Angle - Angle - Side
so the AAS congruence theorem applies.
Answer:
Job has the weakest association with the dependent variable income.
Step-by-step explanation:
The correlation coefficient is used to determine the the strength and direction of the relationship between two variables.
It is denoted by <em>r</em> and the value of <em>r</em> ranges from -1.00 to 1.00.
The correlation data provided is as follows:
Income Education Job Age
Income 1.000
Education 0.677 1.000
Job 0.173 -0.181 1.000
Age 0.369 0.073 0.689 1.000
The dependent variable is the income.
And the variables Education, Job and Age are independent variables.
The correlation between Income and Job is 0.173.
This is the lowest correlation coefficient between the dependent and independent variable.
Thus, Job has the weakest association with the dependent variable income.
The value (9/10)*81 is greater than (5/6)*81
<h3>How to determine the greater value?</h3>
The values are given as:
(5/6)*81 and (9/10)*81
Remove the common factor in both values
So, we have:
5/6 and 9/10
Convert to decimals
0.83 and 0.9
0.9 is greater than 0.83
Hence, (9/10)*81 is greater than (5/6)*81
Read more about expressions at:
brainly.com/question/723406
#SPJ1
