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Engineering An overpass intersects two

Mathematics

1 answer:

JulijaS [17]3 years ago

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Answer:

they are already paralell

Step-by-step explanation:

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3 years ago

Paul has $40000 to invest. His intent is to earn 9% interest on his investment. He can invest part of his money at 6% and part a

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Paul needs to invest $10000 at 6% interest and $30000 at 10% interest to make a total of 9% return on his $40000.

Explanation

Suppose, the amount of money at 6% interest is $x$

As Paul has total $40000 to invest, so the amount of money at 10% interest will be: $(40000-x) dollar$

His intent is to earn 9% interest on his $40000 investment. So, the equation will be......

$0.06x+0.10(40000-x)=0.09*40000\\ \\ 0.06x+4000-0.10x=3600\\ \\ -0.04x=3600-4000=-400\\ \\ x=\frac{-400}{-0.04}=10000$

So, Paul needs to invest $10000 at 6% interest and ($40000- $10000) or $30000 at 10% interest to make a total of 9% return on his $40000.

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3 years ago

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(x+3)²+(x+5)²=6²
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4 years ago

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Line JK passes through points j(-4, -5) and k(-6,3) If The Equations of the line is written in slope intercept form y=mx+b what

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The value of b is -21.

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3 years ago

For each of the equations below, solve for y in terms of x. ! a. 2x – 3y = 12

ira [324]

Answer:

$\large\boxed{y=\dfrac{2}{3}x-4}$

Step-by-step explanation:

$2x-3y=12\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\2x-2x-3y=12-2x\\\\-3y=12-2x\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3y}{-3}=\dfrac{12}{-3}+\dfrac{-2x}{-3}\\\\y=-4+\dfrac{2}{3}x$

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3 years ago