Mathematics Middle School

The price of Stock A at 9 A.M. was ​$12.96. Since​ then, the price has been increasing at the rate of ​$0.08 each hour. At noon the price of Stock B was ​$13.46. It begins to decrease at the rate of ​$0.14 each hour. If the two rates​ continue, in how many hours will the prices of the two stocks be the​ same?
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Answers

Answer 1

It will take approximately 2 hours for the prices of Stock A and Stock B to be the same.

To find the number of hours at which the prices of Stock A and Stock B will be the same, we can set up an equation based on the given information.

Let's denote the number of hours since 9 A.M. as 'h'.

The price of Stock A at 9 A.M. was $12.96, and it has been increasing at the rate of $0.08 each hour. So, the price of Stock A after 'h' hours can be expressed as:

Price of Stock A = $12.96 + ($0.08 × h)

The price of Stock B at noon was $13.46, and it has been decreasing at the rate of $0.14 each hour. So, the price of Stock B after 'h' hours can be expressed as:

Price of Stock B = $13.46 - ($0.14 × h)

To find the number of hours at which the prices of Stock A and Stock B will be the same, we set the two expressions equal to each other and solve for 'h':

$12.96 + ($0.08 × h) = $13.46 - ($0.14 × h)

Rearranging the equation:

$0.08 × h + $0.14 × h = $13.46 - $12.96

$0.22 × h = $0.50

Dividing both sides by $0.22:

h = $0.50 / $0.22

h ≈ 2.27

Since we're dealing with hours, we can round the value to the nearest whole number. Therefore, it will take approximately 2 hours for the prices of Stock A and Stock B to be the same.

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Answer 2
If both rates continue its 8 1/3 hours but if it is only going down 14 and it stops going up 8 cents, it would be a little over 2 hours

Related Questions

The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?

Answers

Answer:

25.685 square feet.

Step-by-step explanation:

Circumference = 2 * π * radius

From this, we can derive the formula for the radius:

radius = Circumference / (2 * π)

Let's substitute the value of the circumference and calculate the approximate radius:

radius = 18 / (2 * π)

radius ≈ 18 / (2 * 3.14159)

radius ≈ 2.865 feet

Now that we have the approximate radius, we can calculate the area:

Area ≈ π * radius²

Area ≈ 3.14159 * (2.865)²

Area ≈ 3.14159 * 8.193225

Area ≈ 25.685 square feet

Therefore, the approximate area inside the circular park is approximately 25.685 square feet.

We know that the circumference of a circle is given by:

C = 2πr

where C is the circumference and r is the radius of the circle.

In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:

18 = 2πr

Solving for r, we get:

r = 9/π ≈ 2.864 feet

Now we can use the formula for the area of a circle:

A = πr^2

Substituting the value we found for r, we get:

A = π(2.864 ft)^2 ≈ 25.85 ft^2

Therefore, the approximate area inside the circular park is approximately 25.85 square feet.

HELP ASAP

Find the surface area of the prism. Write your answer as a decimal.

A triangular prism. The base triangle is a right triangle with base of 10 inches, height of 9 inches, and hypotenuse of 13.5 inches. The height of the prism is 9 inches.

Answers

Answer:

5

Step-by-step explanation:

9×9 - 13.5 ÷10=9 =*÷&#>÷<$<÷>#*#*#*#*#*=*/&=

The surface area of the prism can be calculated by adding the area of the two triangular bases and the area of the three rectangular faces.

The area of the triangular base is:

Area = (1/2) * base * height = (1/2) * 10 in * 9 in = 45 in^2

The area of the three rectangular faces is:

Area = length * width

For the rectangular face adjacent to the base triangle, the length is the hypotenuse of the base triangle, which is 13.5 inches, and the width is the height of the prism, which is 9 inches. Therefore, the area is:

Area = 13.5 in * 9 in = 121.5 in^2

For the other two rectangular faces, the length is the hypotenuse of a right triangle with legs of 9 inches and 10 inches, which can be found using the Pythagorean theorem:

c^2 = a^2 + b^2
c^2 = 9^2 + 10^2
c = sqrt(81 + 100) = sqrt(181) ≈ 13.45 in

The width is still 9 inches, so the area of each face is:

Area = 13.45 in * 9 in ≈ 121.05 in^2

Therefore, the total surface area of the prism is:

Surface Area = 2 * Area of Base + 3 * Area of Rectangular Face
Surface Area = 2 * 45 in^2 + 3 * 121.05 in^2 ≈ 549.15 in^2

Rounding to two decimal places, the surface area of the prism is approximately 549.15 in^2.

Which choice when added to | −5 + 7 | will equal zero?
| +5 − 7 | [ 2] − | −5 + 7 | [3] | −( −5 + 7 ) | [4] | 7 − 5 |
i know the anwser is two but how do you get it

i need it by 5/1/23 at 8pm

Answers

Answer:

[ 2] − | −5 + 7 |

Step-by-step explanation:

Since we know that | −5 + 7 | is an absolute value, we know that the answer will be positive no matter what.

Step 1) Solve. | −5 + 7 | = 2.

Step 2) Find which other absolute value is equal to -2.

After solving [2], − | −5 + 7 | = -2, we know that the answer is choice 2.

We know this because | −5 + 7 | = 2, however, since it is multiplied by (-), it becomes -2. And 2 + (-2) = 0

To solve this problem, we need to simplify each expression and see which one, when added to | −5 + 7 |, will equal zero.

We start by simplifying | −5 + 7 |:

| −5 + 7 | = | 2 | = 2

Now we can simplify each of the answer choices:

[2] | +5 − 7 | = | −2 | = 2
[3] | −( −5 + 7 ) | = | 2 | = 2
[4] | 7 − 5 | = | 2 | = 2

We see that only choice [2], when added to | −5 + 7 |, will equal zero:

2 + (−2) = 0

Therefore, the answer is [2] | +5 − 7 |.
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