When the price of a cup of tea is BHD 0.200, each MBA student will demand 2 cups of tea every day. There are 75 MBA students. When the price goes up to BD 0.300, they will demand just 1 cup of tea each day. Derive the market demand curve of tea for MBA students. Find the price elasticity of individual as well as the market demand curve.

To the nearest tenth, 7.1093 becomes 7.10. In this instance, the thousandths place digit is 3, which is lower than 5.

Look at the fourth digit after the decimal point, which is the digit in the thousandths place, and round 7.1093 to the closest hundredth. In this instance, the thousandths place digit is 3, which is lower than 5.

The hundredths place must be rounded down since the digit in the thousandths place is less than 5. So, 7.10 is the result when the number is rounded to the nearest hundredth. Look at the fourth digit after the decimal point, which is the digit in the thousandths place, and round 7.1093 to the closest hundredth. In this instance, the thousandths place digit is 3, which is lower than 5.

So therefore, to the nearest tenth, 7.1093 becomes 7.10.

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Answer:

yes it is rotated

Step-by-step explanation:

since it was already dilated (widened), it was the rotated to create the way that it is now

To solve for the value of 11x + 13y, we need to first solve the system of equations:

-9x - 6y = 3 ...(1)

2x + 7y = 6 ...(2)

Multiplying equation (1) by 2, we get:

-18x - 12y = 6 ...(3)

Adding equation (2) and (3), we get:

-16x - 5y = 12

Multiplying this equation by -2, we get:

32x + 10y = -24

Adding this to the original equation (2), we get:

33x = -18

Therefore, x = -18/33

Substituting this value of x in equation (2), we get:

2(-18/33) + 7y = 6

Simplifying, we get:

7y = (396/33) - (198/33) = (198/33)

Therefore, y = (198/33) / 7 = 6/11

Finally, substituting the values of x and y, we get:

11x + 13y = 11(-18/33) + 13(6/11) = -6

So, the value of 11x + 13y is -6.

Brainliests Answer pleasee

Answer:

Step-by-step explanation:

2.72*10^-4

Answer:

c).

Step-by-step explanation:

Answer:

4+2(n-1)+5(n-1)

Step-by-step explanation:

We know the pattern always has a +5 to the previous term then plus the lowest unrepeatded even number, such as +0, +2, +4, +6, and so on. The next erm will be 36+5+8, which is 49. The nth then will be the first term+2(n-1)+5(n-1).

That will result in

4+2(n-1)+5(n-1)

Please give brainliest! Thank you!

The numerical expression that is equivalent to (4/5−3/8)+(−2/3−4/5) is -77/120. Alternatively, this expression can also be written as -0.64167 or -64.167%.

To solve this problem, we need to combine the like terms. First, we need to find the common denominator of the fractions in the expression. The smallest common denominator for 5, 8, and 3 is 120. We can then rewrite each fraction with 120 as the denominator.

(4/5 - 3/8) = (32/40 - 15/40) = 17/40
(-2/3 - 4/5) = (-400/600 - 240/600) = -640/600 = -32/30

Now we can substitute these equivalent expressions back into the original equation:

(4/5−3/8)+(−2/3−4/5) = (17/40) + (-32/30)

We can simplify this expression by finding the least common multiple (LCM) of 40 and 30, which is 120. We can then rewrite each fraction with 120 as the denominator.

(17/40) = (51/120)
(-32/30) = (-128/120)

Now we can substitute these new fractions back into the expression:

(51/120) + (-128/120) = -77/120

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The length of segment WX is given as follows:

8.5 units.

Suppose that we have two points with coordinates \((x_1,y_1)\) and \((x_2,y_2)\).

The shortest distance between them is given by the equation presented as follows:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

The length of a segment is given by the distance between it's two endpoints.

Hence the length of segment WX is obtained as follows:

WX = sqrt((-1 - 5)² + (-9 - (-3))²)

WX = 8.5 units.

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The directional derivative of the function f(x, y, z) = yr + a at the point (3, 2, 1) in the direction of a vector making an angle with the vector (3, 2, 1) is calculated. The answer is explained in the following paragraphs.

To find the directional derivative, we first calculate the gradient of the function f(x, y, z). The gradient is a vector that points in the direction of the steepest increase of the function at a given point. In this case, the gradient of f(x, y, z) = yr + a is given by grad(f) = (0, r, 0).

Next, we normalize the given vector (3, 2, 1) to make it a unit vector. The magnitude of the vector is calculated as sqrt(3^2 + 2^2 + 1^2) = sqrt(14). Dividing each component of the vector by its magnitude, we get the unit vector U = (3/sqrt(14), 2/sqrt(14), 1/sqrt(14)).

The directional derivative of f(x, y, z) in the direction of the vector (3, 2, 1) is then obtained by taking the dot product of the gradient and the unit vector: D_u(f) = grad(f) · U = (0, r, 0) · (3/sqrt(14), 2/sqrt(14), 1/sqrt(14)) = 2r/sqrt(14).

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Answer:

80/8=10 lenght is 10 inches

Step-by-step explanation:

Answer:

The length is 8, but if you are asking the width it is 10.

Step-by-step explanation:

You say the length is 8 inches then ask for the length.

If you meant to ask for the width then 80/8=10

Answer: 4,322.883

Step-by-step explanation:

Assuming that the interest rate is per year:

4,322.883

Answer:

1. C

2. A

3. C

4. C

5. I think it’s A bit I’m not sure

6. I’m sorry I don’t understand the handwriting can’t tell if that’s a fraction or an exponent

7. C

8. D

9. C

Hope this helps :)

Step-by-step explanation:

The given initial value problem is a second-order linear homogeneous differential equation. To solve it, we first find the characteristic equation by substituting y = e^(rx) into the equation. This leads to the characteristic equation r^2 - 10r + 50 = 0.

The general solution of the differential equation is y(x) = e^(5x)(C₁cos(5x) + C₂sin(5x)), where C₁ and C₂ are constants determined by the initial conditions.

To determine the particular solution, we differentiate y(x) to find y'(x) = e^(5x)(5C₁cos(5x) + 5C₂sin(5x) - C₂cos(5x) + C₁sin(5x)), and then differentiate y'(x) to find y''(x) = e^(5x)(-20C₁sin(5x) - 20C₂cos(5x) - 10C₂cos(5x) + 10C₁sin(5x)).

Substituting the initial conditions y(0) = 1 and y'(0) = 5 into the general solution and its derivative, we obtain the following equations:

1 = C₁,

5 = 5C₁ - C₂.

Solving these equations, we find C₁ = 1 and C₂ = 4.

Therefore, the particular solution to the initial value problem is y(x) = e^(5x)(cos(5x) + 4sin(5x)).

To find the value of y when x = 1.52, we substitute x = 1.52 into the particular solution and evaluate it. The result will depend on the rounding instructions provided.

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Because her initial speed is already above the speed limit. So, the problem is not solvable under the given conditions.

Let's call Amanda's initial speed "s" (in mph). We know that she drove for 4 hours at speed s, and then for the remaining time (which is 6 hours), she drove at speed s - 20 mph.

The total distance of the trip is 400 miles. Using the distance formula:

distance = rate × time

we can write two equations:

First part of the trip:

400 = s × 4

Second part of the trip:

400 = (s - 20) × 6

Now we can solve for s. Starting with the first equation:

400 = s × 4

Dividing both sides by 4 gives:

s = 100

So Amanda's initial speed was 100 mph.

Checking with the second equation:

400 = (s - 20) × 6

Substituting s = 100, we get:

400 = (100 - 20) × 6

400 = 80 × 6

400 = 480

This equation is not true, which means that there must be an error in our calculations. The error is that Amanda cannot possibly have driven at 100 mph for 4 hours and then slowed down to 80 mph for the remaining 6 hours, because her initial speed is already above the speed limit. So, the problem is not solvable under the given conditions.

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Answer:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

Step-by-step explanation:

Angle 1: Same-side interior angle of Line 1

Angle 2: Same-side interior angle of Line 2

We know that the difference between the angles is 50 degrees. Since the angles are supplementary, we can write the equation:

Angle 1 + Angle 2 = 180

Now, we need to express the difference between the angles in terms of Angle 1 or Angle 2. We can choose either angle, so let's express it in terms of Angle 1:

Angle 1 - Angle 2 = 50

We can rewrite this equation as:

Angle 1 = 50 + Angle 2

Now substitute this expression for Angle 1 into the first equation:

(50 + Angle 2) + Angle 2 = 180

Combine like terms:

2Angle 2 + 50 = 180

Subtract 50 from both sides:

2Angle 2 = 130

Divide by 2:

Angle 2 = 65

Now substitute this value back into the equation for Angle 1:

Angle 1 = 50 + Angle 2

Angle 1 = 50 + 65

Angle 1 = 115

Therefore, the angles are as follows:

Angle 1 = 115 degrees

Angle 2 = 65 degrees

It is possible to add another data point that would be reasonable, even though no measurements were made. This data point could be an estimate or a prediction based on the existing data points. For example, if the existing data points show a linear relationship between acceleration and force, it would be reasonable to add a data point that falls along the same line.

One possible data point that could be added is (3m/s2, 4n). This data point falls between the existing data points (2m/s2, 3n) and (5m/s2, 5n), and would be a reasonable estimate based on the existing data.

Another possible data point that could be added is (7m/s2, 6n). This data point falls along the same line as the existing data points, and would be a reasonable prediction based on the existing data.

Overall, it is possible to add another data point that would be reasonable, even though no measurements were made, as long as the data point is based on the existing data and follows the same pattern or relationship.

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Answer:

Rate for 100 miles = $ 6 / miles

Rate for 250 miles = $ 3.3 / miles

Step-by-step explanation:

Given that cost for covering 100 miles by flight is $600.

As rate is the cost of covering unit distance (in miles).

So, the rate to cover 100 miles by flight = $ 600/ 100 miles = $ 6 /miles.

Similarly, the cost of covering 250 miles by flight is $825.

So, the rate to cover 250 miles by flight = $ 825/ 250 miles = $ 3.3 /miles.

Direction Cosine expresses the relationship of a vector or line in three dimensions with each of the three axes. The direction cosine is the cosine of the angle formed by this line with the x, y, and z axes, in that order.

The operation is used to calculate the magnitude of the vector is dividing by cosine.

cosine function

cos θ = ca / ​​H

ca=adjacent leg (x-axis) and

H= hypotenuse (vector module)

H = ca / ​​cos θ

therefore, to find the magnitude of the vector, the method is to divided by the cosine.

Cosine matrix in one direction (DCM) is a  3 x 3 rotation matrix C, the columns of which represent unit vectors in the body axes projected along the reference axes, specifies the direction cosine matrix, which represents the attitude of the body frame relative to the reference frame.

Direction Cosine

Direction cosine is the cosine of the angle formed by a line in three-dimensional space with the x, y, and z axes. In three dimensions, direction cosines can be calculated for a vector or a straight line. It is the cosines of the angle formed by the line intersected by the three axes.

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The demand approximately decreases by 25% (3750/15000).

(A) To express x as a function of p, we need to isolate x on one side of the equation. Subtracting 0.001x from both sides, we get:

p = 40 - 0.001x

Adding 0.001x to both sides and then dividing by 0.001, we get:

x = (40 - p)/0.001

So, x is a linear function of p: x = 40/0.001 - p/0.001 = 40,000 - 1000p.

The domain of this function is all values of p that result in a non-negative value of x, since negative demand doesn't make sense in this context. Therefore, the domain is:

p ≤ 40/0.001, or equivalently, p ≤ 40,000.

(B) The formula for elasticity of demand is:

E(p) = (p/x) * (dx/dp)

where dx/dp is the derivative of x with respect to p. We already have x as a function of p, so we can find dx/dp by taking the derivative:

dx/dp = -1000

Plugging in p and x, we get:

E(25) = (25/(40,000 - 1000*25)) * (-1000) = -0.833

(C) When p = 25, we just need to plug it into the formula for elasticity:

E(25) = (25/(40,000 - 1000*25)) * (-1000) = -0.833

So, the elasticity of demand is approximately -0.833 when p = 25.

Finally, if the price is increased by 15%, we can approximate the change in demand by using the formula:

% change in demand ≈ % change in price * elasticity of demand

The % change in price is 15%, or 0.15 as a decimal. The elasticity of demand at the current price level is -1000p/(40,000 - 1000p), so we can plug in p = 25 to get:

% change in demand ≈ 0.15 * (-1000*25/(40,000 - 1000*25)) ≈ -0.36

Therefore, the demand would decrease by approximately 0.36% if the price is increased by 15%.

(A) To express the demand x as a function of the price p, we need to solve for x in the given equation p + 0.001x = 40. Subtract p from both sides to get:

0.001x = 40 - p

Now, divide by 0.001:

x(p) = (40 - p) / 0.001

The domain of this function is all values of p for which x(p) is defined. Since x can be any non-negative value, the domain is p≤40.

(B) To find the elasticity of demand E(p), use the formula:

E(p) = (p/x(p)) * (dx(p)/dp)

First, we need to find the derivative of x(p) with respect to p:

dx(p)/dp = -1/0.001 = -1000

Now, substitute the formula:

E(p) = (p/((40 - p)/0.001)) * (-1000)

Simplify the expression:

E(p) = -1000p / (40 - p)

(C) To find the elasticity of demand when p = 25, substitute 25 for p in the E(p) equation:

E(25) = -1000(25) / (40 - 25)
E(25) = -25000 / 15
E(25) = -5000 / 3

The elasticity of demand when p = 25 is -5000/3.

If the price is increased by 15%, the new price is p_new = 25 * 1.15 = 28.75. Now, find the change in demand:

Δx = x(25) - x(28.75)
Δx = (40 - 25) / 0.001 - (40 - 28.75) / 0.001
Δx = 15,000 - 11,250
Δx = 3,750

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Answer:

34

80 degrees

Step-by-step explanation:

I RELLAY HOPES THIS HELPS YOU PLEASE

m∠1 = m∠5, because alternate exterior angles are congruent.

Angles formed by intersecting two parallel lines with a transversal are known as angles in parallel lines.

Given:

lines a and b intersect a transversal, c.

The pair of angles on the outside of the two parallel lines but on the other side of the transversal are known as alternate exterior angles.

m∠1 = m∠5 (Alternate exterior angles are congruent)

m∠1 = m∠5, because alternate exterior angles are congruent.

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The Complete Question is attached below.

Answer:

My answer is 8. I just rounded if you don't want to round just go with 7.5.

Answer:

7.5 units

Step-by-step explanation:

It is hard to explain...

Answer:

a=5

Step-by-step explanation:

2a+2=12

2a=10

a=5

Answer:

Using the formula provided, the value of that investment after 10 years is

A = P(1 + r/n) ^nt

   = 4500 x (1 + (4/100)/4)^(10 x 4)

   = 4500 x (1.01)^40

   = 6699.89$

Hope this helps!

:)

The value of that investment after 10 years is $6699.89

\(A = P(1 + r/n) ^{nt}\\\\= 4500 \times (1 + (4/100)/4)^(10 \times 4)\\\\= 4500 \times (1.01)^{40}\)

= 6699.89

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Answer:

54

Step-by-step explanation:

We can divide 28 by 11 to get...

11 ÷ 28 = 2.545454

   22

     60

     55

        50

        44

           60

            55

               50

                44

                   60

                    55

                      50

                      44

                        60

The division quotient reveals that the numbers 5 and 4 repeat themselves frequently. It is a situation of a repeating decimal that does not end.

This means that in the decimal equivalent of \(\frac{28}{11}\), the smallest group of repeating digits is composed of 54 repeating digits.

Hope this helps! :)

Answer:

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

9514 1404 393

Answer:

  x = -6 or 6

Step-by-step explanation:

The square root is always positive, so the equation simplifies to ...

  \(\sqrt{4x^2}-\sqrt{x^2}=6\\\\2|x|-|x|=6\\\\|x|=6\\\\x=\{-6,\ 6\}\)

_____

The graph shows the solutions to f(x) = 0, where f(x) = √(4x²) -√(x²) -6.