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timama [110]
3 years ago
9

A company wants to decrease their energy use by 16%. If their electric bill is currently $1,900 a month, what will their bill be

if they are successful? Round your answer to the nearest dollar.
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
7 0

Answer:

If you consume less energy you pay less with respect to the amount of energy you saved. If you saved 16% of total energy you should expect to lower your bill by 16%. Count how much is left -> 1900-1900*0.16=1596$

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Determine the points of intersection of the line y=2x+5 and the circle x²+y²=36
Vladimir79 [104]

The two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

<h3>How to find the points of intersection?</h3>

Here we want to solve the system of equations:

y = 2x + 5

x² + y² = 36

To solve this, we need to replace the first equation into the second one:

x² + (2x + 5)² = 36

Now we can solve this for x:

x² + 4x² + 10x + 25 = 36

5x² + 10x - 11 = 0

This is a quadratic equation, to solve it we use the general formula:

x = \frac{-10 \pm \sqrt{10^2 - 4*5*(-11)} }{2*5} \\\\x = \frac{-10 \pm 17.9 }{10}

So we have two solutions for x:

x = (-10 - 17.9)/10 = -2.79

x = (-10 + 17.9)/10 = 0.79

To get the y-values of the solutions, we evaluate the linear equation in these values of x:

y = 2*(-2.79) + 5 = -0.58

y = 2*( 0.79) + 5 = 6.58

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If you want to learn more about intersection points:

brainly.com/question/17206319

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2 years ago
Plz help!!!! Need quick. 65 points
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2/3

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