Answer:
option D is the correct answer.
Step-by-step explanation:
For this case we must follow the steps below:
step 1:
We place each of the given points on a coordinate axis
Step 2:
We join the AC points (represented by the orange line)
We join the BD points (represented by the blue line)
It is observed that the resulting figure after placing the 4 points on a coordinate axis, turns out to be a rhombus.
In addition, the blue and orange lines turn out to be perpendicular, that is, they have an angle of 90 degrees between them. This can be verified by finding the slopes of each of the two straight lines (blue and orange), which must be opposite reciprocal, that is, they comply: 
In this case, the slope of the orange line is 
and that of the blue line is 
Then 
, it is verified that they are perpendicular.
Thus, the conclusion is that ABCD is a rhombus and AC is perpendicular to BD.
Answer:
See attached image
Option D
$13,000 was invested at 6% whereas $7,000 was invested at 10% using simple interest approach
What is simple interest?
Simple interest is determined as the amount invested multiplied by the interest rate and the number of years that investment lasts.
I=PRT
I=interest
P=principal
R=rate of return
T=time
Let X be the amount invested at 6%
I at 6%=6%*X*1
I=0.06X
The amount invested at 10% is 20,000-X
total interest=0.06X+0.10*(20000-X)
total interest=1,480
1480=0.06X+0.10*(20000-X)
1480=0.06X+2000-0.10X
1480-2000=0.06X-0.10X
-520=-0.04X
X=-520/-0.04
X=13,000
13,000 was invested at 6%
amount invested at 10%=20,000-X
amount invested at 10%=20,000-13,000
amount invested at 10%=7,000
Find out more about simple interest on:brainly.com/question/20690803
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Answer:
17.5
Step-by-step explanation:
Given that the variables x and y have a proportional relationship.
i.e. y is directly proportional to x or can be written as
y = mx where m is the constant of proportionality.
When x =2, y =7
Substitute this to get the value of m.
7 =2m or m = 3.5
Thus the relationship between x and y is
y = 3.5x
So when x=5, y = 3.5(5) = 17.5
25$ because if you bout something that was 25$ 25$ off would make it free but 25% off would make it 6.25
