What is a third variable condition that could create the following correlation? The popularity of online job portals is correlat
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He borrowed "a" at 7% and "b" at 8.25%
now, whatever "a" and "b" are, we know, his student loan was 9000, thus
a+b = 9000
now, he owes 7% or 7/100 for "a", what's 7% of a? well, 7/100 * a or 0.07a
he owes 8.25% of "b", how much is 8.25% of b? well, 8.25/100 * b or 0.0825b
now, we know, at the end of the year, he owed for both loans, 706.25 in interest
thus we know that 0.07a + 0.0825b = 706.25
thus
solve for "a", to see how much he borrowed at 7%
what about "b"? well, b = 9000-a
now, whatever "a" and "b" are, we know, his student loan was 9000, thus
a+b = 9000
now, he owes 7% or 7/100 for "a", what's 7% of a? well, 7/100 * a or 0.07a
he owes 8.25% of "b", how much is 8.25% of b? well, 8.25/100 * b or 0.0825b
now, we know, at the end of the year, he owed for both loans, 706.25 in interest
thus we know that 0.07a + 0.0825b = 706.25
thus
solve for "a", to see how much he borrowed at 7%
what about "b"? well, b = 9000-a
An equation of the form y=ax+b, where a and b are constants; y and x are variable, is called a linear equation.
They are called "linear" because if we draw all the solutions of such an equation, they form a line.
This also means that it is enough to:
1. find to solutions
2. plot them on the coordinate axis
3.join those 2 points
and all the solutions of the equation y=ax+b will be on that line.
Thus, to draw line y=-3x+3
let x=0, then y=3, so one solution is (0, 3)
let y=0, then x=1 so a second solution is (1, 0)
(remark we can pick x or y to be any value, then solve for the other)
to draw the second line y=2x-7
let x=0, then y=-7
let x=3, then y=-1
plot these points and join them as shown in the picture.
The solution of the system is the point where the lines intersect, which is
(2, -3)
They are called "linear" because if we draw all the solutions of such an equation, they form a line.
This also means that it is enough to:
1. find to solutions
2. plot them on the coordinate axis
3.join those 2 points
and all the solutions of the equation y=ax+b will be on that line.
Thus, to draw line y=-3x+3
let x=0, then y=3, so one solution is (0, 3)
let y=0, then x=1 so a second solution is (1, 0)
(remark we can pick x or y to be any value, then solve for the other)
to draw the second line y=2x-7
let x=0, then y=-7
let x=3, then y=-1
plot these points and join them as shown in the picture.
The solution of the system is the point where the lines intersect, which is
(2, -3)