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cricket20 [7]
3 years ago
10

Find the distance between his house

Mathematics
1 answer:
Hunter-Best [27]3 years ago
4 0

Here we are supposed to find the distance between the two points

Suppose A=(-8,-9), B=(-4,-10)

Now As per the distance formula we know that the distance between two points is given by the formula

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \\ D= \sqrt{(-4+8)^2+(-10+9)^2}\\ \\ D=\sqrt{(4)^2+(-1)^2}\\ \\ D=\sqrt{16+1}\\ \\ D=\sqrt{17} \ miles

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Ok so assume that if you have
xy=0 then x and y=0
-1/4(x^2-4x+3)>0
multiply both sides by -4 to clear fraction (-4/-4=1)
flip sign
x^2-4x+3<0
factor
(x-3)(x-1)<0

we know that (+) times (-)=(-) and 
(-) times (-)=(+) so we don't want them to be both negative, we want different sign
we cannnot have 3 since it would be (0)(2)<0 which is false
we cannot have 1 either since (-2)(0)<0 is also false
lets see if the solution is in betwen 3 and 1 or outside of 3 and 1
ltry 2
2^3-4(2)+3<0
8-8+3<0
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It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

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(this formula can be beautifully derived from just basic considerations, btw)

We are given t=5, and percent increase on the initial P, so we can solve for r

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It will take an interest rate of 8.1% to get 150% of the initial investment in just 5 years.

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