The price of Stock A at 9 A.M. was ​$12.95 Since​ then, the price has been increasing at the rate of ​$0.12 each hour. At noon the price of Stock B was ​$13.70. It begins to decrease at the rate of ​$0.13 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?

Answers

Answer 1

Answer:

The prices of the two stocks will be the same in 1.56 hours.

Step-by-step explanation:

The price of Stock A at 9 A.M. was ​$12.95 Since​ then, the price has been increasing at the rate of ​$0.12 each hour.

This means that after x hours, the value of Stock A is:

[tex]S_{A}(x) = 12.95 + 0.12x[/tex]

After noon:

Noon is 3 hours after 9 AM, so

[tex]S_{A}(3) = 12.95 + 0.12*3 = 13.31[/tex]

So in x hours after noon, the value is given by:

[tex]S_{A}(x) = 13.31 + 0.12x[/tex]

At noon the price of Stock B was ​$13.70. It begins to decrease at the rate of ​$0.13 each hour.

This means that after x hours, the value of Stock B is:

[tex]S_{B}(x) = 13.70 - 0.13x[/tex]

In how many hours will the prices of the two stocks be the​ same?

This is x for which:

[tex]S_{A}(x) = S_{B}(x)[/tex]

[tex]13.31 + 0.12x = 13.70 - 0.13x[/tex]

[tex]0.25x = 0.39[/tex]

[tex]x = \frac{0.39}{0.25}[/tex]

[tex]x = 1.56[/tex]

The prices of the two stocks will be the same in 1.56 hours.


Related Questions

28 is 50% of what number?

Answers

Answer:

its 56

Step-by-step explanation

50% × x = 28 or, 50 100

× x = 28

Multiplying both sides by 100 and dividing both sides by 50,

we have x = 28 ×

100

50

x = 56

If you are using a calculator, simply enter 28×100÷50, which will give you the answer.

Solve the inequality
-5x > 35

Answers

-5x > 35
-x > 7
(Divide it by 5)

Answer:

x is greater than or equal to -8

Step-by-step explanation:

35/-5 is 7 and since the sign is greater than that means that -5x will be greater than 35

Given y - 2 = 4(x + 1), the equation in slope-intercept form is
Do not include spaces in your answer

Answers

Answer:

Write in slope-intercept form,

y =mx+bxy=4x+6

Step-by-step explanation:

Answer:

y=2x+5

Step-by-step explanation

Replied to your comment lol

- 2x – 117 = = 10x + 59

Answers

Answer:

[tex]\huge\boxed{x=-\dfrac{44}{3}=-14\dfrac{2}{3}}[/tex]

Step-by-step explanation:

[tex]-2x-117=10x+59\qquad|\text{add 177 to both sides and subtract}\ 10x\ \text{from both sides}\\\\-2x-10x-117+117=10x-10x+59+117\\\\-12x=176\qquad|\text{divide both sides by (-12)}\\\\\dfrac{-12x}{-12}=\dfrac{176}{-12}\\\\x=-\dfrac{176:4}{12:4}\\\\x=-\dfrac{44}{3}[/tex]

PLS HELP ASAP GIVING BRAINLIEST

PLZPLZPLZPLZPLZPL

Answers

1.5 im sorrry again if im wrong:(

Step-by-step explanation:

im sorry if i am wrong

Answer:

178.64 square cm

Step-by-step explanation:

5.8 x 8.8 x 2 = 102.08

8.8 x 8.7 = 76.56

76.56 + 102.08 =

178.64

Hope that helps!

What is the perimeter of each figure?
2x
2x
X-8
x + 2
1

Answers

Answer:

triangle: 5x-8

square: 4x+8

Step-by-step explanation:

triangle: 2x + 2x + x -8

combine like terms

= 5x-8

square: x + 2 + x + 2 + x + 2 + x +2

combine like terms

= 4x + 8

Plz, help me I will give you a brainlist and Extra points. If you help me.

Select the expression that matches “subtract 3 from 4/9 of 20.”

A. 20−(4/9×3)
B. (4/9×20)−3
C. 4/9×(20−3)
D. 3−(4/9×20)

Answers

Answer:

B) (4/9 x 20)-3

Which expression is equal to 0?
A) 2 + 0 + 3
B) 2x0x3
C) 1 + (0 x 2)
D) (1 x 2) + 0

Answers

Answer:

c

Step-by-step explanation:

B) 2 times 0 is 0 and if you multiply 0 by 3 it is still zero

A 10-pound bag of wildflower seed covers 25 square feet. How many pounds of seed does it take to cover 1 square​ foot?

Answers

Answer:

0.4 pounds

Step-by-step explanation:

10 pounds / 25 square feet

to get the number of pounds per feet

10 / 25 = 0.4

so, your answer is 0.4 pounds per 1 square foot

Use elimination to solve the system
2x-y=10
8x+y=20
Please someone help I need help so bad I’m so scared I’m gonna fail this test I may get held back if I fail this test please help me

Answers

Use elimination to cancel y. Add both systems together:
2x + 8x - y + y = 10 + 20

Combine like terms:
10x = 30

Divide by 10:
x = 3

Plug x back in to solve for y:
2(3) - y = 10
6 - y = 10

Subtract 6:
-y = 4

Divide by -1:
y = -4


So your solution is x = 3 and y = -4 which is also written as (3, -4).

Twelve less than the cube of the sum of six times a number and three.

Answers

Answer:

[tex](6 * n + 3)^{3}[/tex] - 12

Step-by-step explanation:

Twelve less than the cube of the sum of six times a number and three.

1. Change the words into numbers and math symbols.

Twelve = 12

Less than = subtract -

sum of six times a number and three = (6 * n + 3)

cube = exponent 3

2. Write the problem.

[tex](6 * n + 3)^{3}[/tex] - 12

determine whether the ordered pair (3,-5) is a solution to the system -2x+y=-11 & -2x-2y=-4

Answers

Answer:

No.

Step-by-step explanation:

-2(3)-5=-6-5=-11

-2(3)-2(-5)=-6+10=4, not -4.

Explain how to do (2^-2/3^3)^4 i need to know how to do this.

Answers

Answer:

((2^(-2))÷(3^3))^4=

Step-by-step explanation: expand

Simplify the expression 4(5a+b)−9a+3

Answers

Answer: 11a+4b+3

Step-by-step explanation: 4(5a+b)−9a+3

(4)(5a)+(4)(b)+−9a+3

20a+4b+−9a+3

(20a+−9a)+(4b)+(3)

11a+4b+3

How is Pythagorean theorem and geometric mean related?

Answers

Answer:

The two triangles formed are also similar to each other. The measure of the altitude drawn from the vertex of the right angle to the hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.

Step-by-step explanation:

3)
Ten students from a class participated in a math quiz. The scores obtained by
them were recorded as follows.
11, 6, 7, 13, 1, 13, 16, 7, 13, 16
Mean :
Median :
Mode :
Range :

Answers

Answer:

Mean: 10.3

Median: 12

Mode: 13

Range: 15

Step-by-step explanation:

First, let's define what all these terms mean.

Mean is the average of all the numbers in a set of data. Median is the number in the middle of a range whenever the numbers are put in ascending order. If there are two numbers in the middle instead of one, then take the average of those two numbers. Mode is the number that occurs the most in the set of data. Range is the difference between the largest and the smallest number in a set of data.

To make things a little easier overall, let's just go ahead and put all our numbers in ascending order, which will be as follows: 1, 6, 7, 7, 11, 13, 13, 13, 16, 16.

To find the mean, just add up all the numbers and divide by how many there are. So we'll add 1 + 6 + 7 + 7... and so on to get a total of 103. Next, we'll divide that number by 10 since there are 10 students. This gives us a mean of 10.3.

Next, we'll find the median. To find this, just figure out which number(s) is in the center of your data. Since we have an even number of terms (10), we'll have two numbers in the middle, being 11 and 13. To find our median from here, just add 11 and 13 and then divide by 2. 11 + 13 = 24 and then 24 / 2 = 12. This means that our median is 12.

Next, we'll find the mode. The mode is the number that is seen the most in a set of numbers. In our set, we see that there are three 13s. Since 13 is the most frequently used number in our set, this makes it the mode.

Finally, we'll find the range. The range is just the largest number in the set minus the smallest number in the set. In our set, 16 is our largest number and 1 is our smallest. Just do 16 - 1 = 15 and we'll see that 15 is the range of the set. Hope this helps!

Need help! (5 3/4 1 5/6) - 6 7/12

Answers

Answer:

Step-by-step explanation:

7/12 / 3/10 = 35/

18

= 1 17/

18

≅ 1.9444444

What the expression is?

Answers

Answer:

29

Step-by-step explanation:

Answer:

The answer is 29

Amber bought 3 kg of walnuts for $6.75 per kg and 4 kg of almonds for $8.69 per kg. She gave the cashier a $100 bill. What should Amber get back in change?

Answers

She should get $44.59 back in change

3(6.75) + 4(8.79) = 20.25 + 35.16 = 55.41

100 - 55.41 = $44.59

Identify at least one confounding variable that undermines the conclusion drawn in the following fictional study:

Prof. Acosta was interested in which of two popular statistics textbooks (Statistics: It Will Change Your Life and Statistics: Bigger, Better, Stronger) was better for students. Prof. Acosta compared the two texts by assigning one text to a section of statistics taught by Prof. Agnew from 10 to 11 a.m. on Monday, Wednesday, and Friday, and the other text to a section of statistics taught by Prof. Alvarez from 7 to 10 p.m. on Wednesday evenings. At the end of the term, all students took the same comprehensive test. Students to whom Statistics: Bigger, Better, Stronger was assigned performed better on the test than did students to whom Statistics: It Will Change Your Life was assigned. Therefore, Prof. Acosta concluded that the former textbook was the better one.

Answers

Answer:

Identifying at least one confounding variable that undermines the conclusion drawn in the fictional study is:

All students took the same comprehensive test.

Step-by-step explanation:

In a study, an independent variable causes an effect on the dependent variable. But a confounding variable is the variable that influences the independent variable as well as the dependent variable.  If this third variable is not controlled, it might lead the researcher to make a wrong estimate of the relationship that exists between the independent variable and the dependent variable.

how far apart are (10,8) and (-6,8)?
HELP ME!!

Answers

Answer: 16 units

Since both Y Values are the same, look at the X values. 10 and -6. How far apart is 10 from -6? (10 - (-6) = 16)

16 units, good luck!

50 points! Correct answer will get brainliest. Random answers will be reported

Answers

Answer:

4, -8

Step-by-step explanation:

Answer: The answer is <-4, -8>

Step-by-step explanation:

In a class where there are a total of 80 pupils, 20 are girls and the remaining
are boys. What percent of the class are boys?​

Answers

Answer:

75%

Step-by-step explanation:

First find the number of boys.

80 - 20 = 60

Now find the percentage my taking the number of boys upon the total, times that by 100 which gives the percentage.

[tex]\frac{60}{80}[/tex] × 100 = 75%

75% of the class is boys.

Given the statement ΔQRS ≅ ΔXYZ, list all congruent parts you can conclude about the two triangles. Explain.

Answers

Answer:

Side QR is congruent to Side XY.

Side RS is congruent to Side YZ.

Side SQ is congruent to Side ZX.

Angle Q is congruent to Angle X.

Angle R is congruent to Angle Y.

Angle S is congruent to Angle Z.

Step-by-step explanation:

Side QR is congruent to Side XY because triangle QRS is congruent to triangle XYZ and each point of a triangle is in corresponding order with a point of the other triangle. For example, Q matches up with X since they both are listed first in their respective sequence.

The trapezoids below are similar. Find the two missing side lengths.

Answers

Answer:

y = 15, x = 4

Step-by-step explanation:

Hope this helped!

Answer:

y+15x=4

Step-by-step explanation:

find the slope of the line that passes through the points (1,-4) and (3,-1)​

Answers

Answer:

The slope is 3/2 or 1.5

Step-by-step explanation:

The slope is Rise/Run.

The difference in y-values, –1 -(-4) =3 is the rise.

the difference in x-values, 3 –1 = 2 is the run.

Hello pls help meeee last one i swear.

Answers

Answer:

0.006

Step-by-step explanation:

Answer:

0.006 inches of rain

Hope that helps

what is the range of 53, 63, 65, 66, 74, 81, 87?

Answers

Answer:

The range is 34!

Step-by-step explanation:

87-53=34

Answer:

34

Step-by-step explanation:

Hope this helps.

Expand each expression and collect like terms. a. -3(2p - 3q)

Answers

Answer:

-6p+9q

Step-by-step explanation:

Multiply -3 with 2p and multiply -3 with 3q.

plz help me someone.​

Answers

Answer:

80

That's the answer

Step-by-step explanation:

No explanation

Answer: 80 meters

Step-by-step explanation:

There are two ways you could do this.

1st way (my personal way of doing it): Add 25 + 15 + 25 + 15. Then subtract that by 9 + 7 + 9 + 7 (you do this because that will find the perimeter of the open space.)

=> 25 + 15 + 25 + 15 = 80

=> 9 + 7 + 9 + 7 = 32

=> 80 - 32 = 48

2nd way: Add 25, 15, 16 and 8. (You are adding the sides that they already give you.) Then, you would find the missing sides (or the sides that don’t have a number on the .) And that would be 7 and 9. So you add the sum of those two numbers to your answer.

=> 25 + 15 + 16 + 8 = 64

=> 7 + 9 = 16

=> 64 + 16 = 80

This might be very confusing but I hope this helps :’)

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