Answer:
2100
Step-by-step explanation:
5% of 2000 = 2000 x 1/20 = 100.
2000+100=2100
Also, if it said how much interest will her investment PAY, then it would be $100 because of the 5% simple interest.
Answer:
(a) Lying on both axes-
Point lying on both axes will lie on origin, so its coordinate is (0,0)
(b) Lying on x-axis and with x-coordinates 4
Since the point lies on x-axis so its y-coordinate is 0, so its coordinate is (4,0)
(c) Lying on y-axis and y-coordinates -3
Since the point lies on y-axis so its x-coordinate is 0, so its coordinate is (0,-3)
b = 1/6
Explanation:
3x-y=4 ...1st equation
Rewriting in slope- intercept form:
y = 3x - 4
2y+4bx=1
Rewriting in slope- intercept form:
2y = -4bx + 1
y = -4bx/2 + 1/2
Equation of line: y = mx + c
where m = slope, c = intercept
For a line to be perpendicular to another, the slope of one will be the negative reciprocal of the slope of another.
Slope of the 1st equation = 3
m = 3
reciprocal of 3 = 1/3
negative reciprocal of 3 = -1/3
Slope of the 2nd equation = -4b/2
we equate both slope:
negative reciprocal of 3 = -4b/2
-1/3 = -4b/2
cross multiply:
-1(2) = 3(-4b)
-2 = -12b
Divide both sides by -12:
-2/-12 = -12b/-12
b = 1/6
Hence, the value of b that makes the lines perpendicular is 1/6
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