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Fed [463]
3 years ago
7

 The price of Stock A at 9 A.M. was ​$14.15. Since​ then, the price has been increasing at the rate of ​$0.06 each hour. At noon

the price of Stock B was ​$14.65. It begins to decrease at the rate of ​$0.08 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?
Mathematics
1 answer:
Marina86 [1]3 years ago
3 0

Answer:

<h2>2 hours</h2>

Step-by-step explanation:

Easiest way to solve this is add and subtract till we get the values balanced.

Stock A

9 am $14.15

10 am $14.21

11 am $14.27

12 pm $14.33

1 pm $14.39

2 pm $14.45

Stock B

12 pm $14.65

1 pm $14.57

2 pm $14.45

Notice the bold values are the same at the same time 2 pm. If we start at 12 pm with stock B, it will be 2 hours before the prices are the same.

I'm always happy to help :)

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Suppose each edge of the cube shown in the figure is 10 inches long. Find the sine and cosine of the angle formed by diagonals D
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Check the picture below.

sin(EDG )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{10\sqrt{3}}}\implies sin(EDG )=\cfrac{1}{\sqrt{3}}\implies sin(EDG )=\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}} \\\\\\ \stackrel{\textit{rationalizing the denominator}}{sin(EDG )=\cfrac{\sqrt{3}}{\sqrt{3^2}}\implies sin(EDG )=\cfrac{\sqrt{3}}{3}} \\\\[-0.35em] ~\dotfill

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4 0
2 years ago
Find the surface area of the composite solid.
Illusion [34]

The ends of the rectangle = 10*10*2 = 200

The long sides and bottom of the rectangle = 12*10*3 = 360

Vertical end of the triangle = 5*10 = 50

The sides of the triangle = 12*5*1/2*2 = 60

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Total = 200 + 360 + 50 + 60 + 130 =

800 in sq

7 0
3 years ago
Read 2 more answers
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