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likoan [24]
3 years ago
12

A(n) in the money supply will cause interest rates to decrease, which, in

Mathematics
1 answer:
LenaWriter [7]3 years ago
5 0
A. Increase, increase
If there is more money, the less interest (less money needed to charge) when interests down, more money available spending will increase
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Which equation represents the equation of the parabola with focus (-3 3) and directrix y=7?
Artemon [7]

Answer:

The equation y=\frac{-x^2-6x+31}{8} represents the equation of the parabola with focus (-3, 3) and directrix y = 7.

Step-by-step explanation:

To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).

Using the distance formula d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }, we find that the distance between (x, y) is

\sqrt{(x+3)^2+(y-3)^2}

and the distance between (x, y) and the directrix y = 7 is

\sqrt{(y-7)^2}.

On the parabola, these distances are equal so, we solve for y:

\sqrt{(x+3)^2+(y-3)^2}=\sqrt{(y-7)^2}\\\\\left(\sqrt{\left(x+3\right)^2+\left(y-3\right)^2}\right)^2=\left(\sqrt{\left(y-7\right)^2}\right)^2\\\\x^2+6x+y^2+18-6y=\left(y-7\right)^2\\\\x^2+6x+y^2+18-6y=y^2-14y+49\\\\y=\frac{-x^2-6x+31}{8}

6 0
3 years ago
The average rainfall for each week for the
Bezzdna [24]

Answer:

7/3

Step-by-step explanation:

in decimal 2.3

in fraction 2 1/3

8 0
3 years ago
A class of 28 students has 13 boys and 15 girls. What is the ratio of girls to boys in the class? 15:28 13:15 O 13:28 15:13 Prev
uranmaximum [27]

Answer:\frac{15}{13}

Step-by-step explanation:

Given

There are 28 students in a class out of which

13 are boys so the remaining 15 are girls

Ratio of girls to boys in the class=\frac{15}{13}

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Multiply c by 9, then add 2 to the result
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Answer:

9c+2

Step-by-step explanation:

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A mousetrap car is filmed as it runs the racecourse. The film includes 1,200 photo frames taken in 8 seconds. How many frames we
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