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Margarita [4]
3 years ago
10

The price of Stock A at 9 A.M. was ​$12.79 Since​ then, the price has been increasing at the rate of ​$0.11 each hour. At noon t

he price of Stock B was ​$13.29 It begins to decrease at the rate of ​$0.12 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?
pls pls pls
Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0

Answer:

2.174 hours

Step-by-step explanation:

Let the number of hours be represented as:

x

The price of Stock A at 9 A.M. was ​$12.79 Since​ then, the price has been increasing at the rate of ​$0.11 each hour.

$12.79 + $0.11 × x

12.79 + 0.11x

At noon the price of Stock B was ​$13.29 It begins to decrease at the rate of ​$0.12 each hour.

$13.29 - $0.12× x

13.29 - 0.12x

Equating both equations together

Stock A = Stock B

12.79 + 0.11x = 13.29 - 0.12x

Collecting like terms

0.11x + 0.12x = 13.29 - 12.79

0.23x = 0.5

x = 0.5/0.23

x = 2.1739130435 hours

x = Approximately = 2.174 hours

If the two rates​ continue, the number of hours that the prices of the two stocks will be the​ same is 2.174 hours

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Given:

The figure of a right angle triangle.

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Hypotenuse = 9\sqrt{2} in.

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The missing lengths of the sides.

Solution:

In the given right angle triangle both legs a and b are equal, and hypotenuse is 9\sqrt{2} in.

Using Pythagoras theorem, we get

Hyponteuse^2=Base^2+Perpendicular^2

(9\sqrt{2})^2=(a)^2+(b)^2

81(2)=(a)^2+(a)^2                    [\because a=b]

81(2)=2(a)^2

Divide both sides by 2.

81=(a)^2

Taking square root on both sides.

\pm \sqrt{81}=a

\pm 9=a

Side cannot be negative. So,

9=a

Thus, the missing side lengths are a=9 in and b=9 in.

Therefore, the correct option is C.

6 0
3 years ago
If the ratio of side lengths of similar polygons is 6:11, what is the ratio of perimeters
algol13

Answer:

6 : 11

Step-by-step explanation:

the ratio 6 : 11 applies to all linear measure in the similar polygons

Both side lengths and perimeter are linear, hence

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8 0
3 years ago
The difference between the observed value of the dependent variable and the value predicted using the estimated regression equat
Elenna [48]

Answer:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

Step-by-step explanation:

For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:

(x_1, y_1) ,....,(x_n,y_n)

For this case we assume that we want to find a linear regression model given by:

\hat y = \hat m x +\hat b

Where:

\hat m represent the estimated slope for the model

\hat b represent the estimated intercept for the model

And for any estimation of the dependent variable \hat y_i , i=1,...,n is given by this model.

The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:

e_i = y_i -\hat y_i , i=1,...,n

So the best option for this case is:

d. residual

7 0
3 years ago
Twins issac and isaiah were just born issac weighs 6 pounds 2 ounces and isaiah weighs 5 pounds 4 ounces.How many ounces do issa
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Answer: 11\ \text{pounds}\ 6\ \text{ounces}

Step-by-step explanation:

Given

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Isaiah weighs

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Their combined weight is

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jasenka [17]

Answer: 0.000008

Step-by-step explanation:

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0.000001

Then you multiply that by 8

0.000008

Hope this helps!

8 0
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