On the day their son peter was born, madeline and ben invested $1500 for his education at 6.7% interest, compounded quarterly. today it’s peters birthday. he is 19 years old and wants to go to college

Answer:

B. y > (4/3)x - 2

Step-by-step explanation:

The dotted line means that the answer WILL NOT include the line itself, just the space above it. Since the shaded area is above the line, it must be greater than the line.

One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.

A mole is a unit of measurement in chemistry that expresses the amount of a substance. It is defined as the number of entities (such as atoms, ions, or molecules) in a sample of the substance. The number of entities in one mole of a substance is known as Avogadro's number.

Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.

One mole of a substance is equal to Avogadro's number, which is approximately 6.022 x 10^23.

The mole of H2 (hydrogen gas) is the number of H2 molecules in a sample of hydrogen gas. One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.

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The world record for memorizing and reciting the most digits of pi is held by Rajveer Meena from India. He recited 50,000 decimal places of pi in 2020, which is the current recognized world record.

Pi (π) is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. The decimal representation of pi is non-repeating and goes on indefinitely without a pattern. The value of pi is approximately 3.14159, but it is commonly approximated as 3.14 for simplicity in mathematical calculations. However, the exact value of pi has been calculated to trillions of digits using various computational methods. The quest to calculate more digits of pi continues to this day, and the computation of pi serves as a benchmark for testing the performance of supercomputers and computational algorithms. The current record for calculating the most digits of pi is trillions of digits, achieved through the use of powerful computers and advanced algorithms.

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Answer:

\(68 = 2 \times 2 \times 17\)

The condition for a portfolio to be self-financing in the Black-Scholes model is that the portfolio's value does not change due to trading (buying or selling) costs or external cash flows. In other words, the portfolio's value remains constant over time, excluding the effects of the underlying assets' price changes.

For the given portfolio, a = -t (units of the stock) and b = S_t (units of the savings account). To determine if this portfolio is self-financing, we need to check if its value remains constant over time. Using Ito's lemma, we can express the value of the portfolio as:

d(Vt) = a_t * d(St) + b_t * d(Ct)

Substituting the values of a and b, we have:

d(Vt) = -t * (2St * dt + 4St * dBt) + S_t * d(t)

Simplifying this expression, we get:

d(Vt) = -2tSt * dt - 4tSt * dBt + S_t * dt

The portfolio is self-financing if d(Vt) = 0. However, in this case, we can see that the terms involving dBt do not cancel out, indicating that the portfolio is not self-financing.

Girsanov's theorem states that under certain conditions, it is possible to transform a Brownian motion under the real-world measure into a Brownian motion under an equivalent martingale measure (EMM). The EMM is a probability measure under which the discounted asset prices are martingales. By applying Girsanov's theorem or alternative techniques, we can derive the expression for St, the stock price, under the EMM. Unfortunately, without further information or specifications, it is not possible to provide the specific expression in this case.

To determine the price Ct of the call option on the stock at time t ≤ 2, with an exercise price K = 1 and expiration date T = 2, additional information or an appropriate result is required. Without specific details, such as the volatility of the stock or the risk-free interest rate, it is not possible to provide an expression for Ct.

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a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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What is a pseudoinverse?

This is denoted by x+ and is defined as follows:

x+ = {0, if x = 0; x*-/(||x||^2), otherwise.

Here, x* denotes the conjugate transpose of x, and ||x||^2 represents the squared magnitude of x. Essentially, we are finding a vector that when multiplied with x gives us the identity matrix (or as close to it as possible). This vector is the pseudoinverse, and it is computed using the formula above.

So in summary, the pseudoinverse of the null vector is the transposed null vector, while the pseudoinverse of a non-null vector is the conjugate transposed vector divided by its squared magnitude.

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Answer:

la respuesta es 65 millones

Answer:

the ans in decimal will be 2.55 bcz of 2 s.f ( significant figures)

Answer:

2.5555

Step-by-step explanation:23 divided by 9 is 2.5 repeating

Answer:

Step-by-step explanation:

Robert has scored:

88+92+83+79+87+x=(85*6)

429+x=510

x=510-429=81

he needs to score an 81

The (4·w - 5)° measure of the arc, and and the (3·w)° measure of the angle subtended by the arc at the center of the circle, indicates that the value w is 5

The correct option is therefore;

C. 5

An arc of a circle is a part of the circumference of the circle

The measure of the specified arc is; (4·w - 5)°

The measure of the angle at the center of the circle is; (3·w)°

The measure of an arc of a circle is the same as the angle subtended at the center of the circle

Therefore, we get; (4·w - 5)° =  (3·w)°

(4·w - 5)° =  (3·w)°

4·w - 3·w = 5

w = 5

The correct option is option C

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The value of w in the circle is 5.

An arc of a circle is a portion of the circumference of a circle. It is defined by two endpoints and the arc itself.

The measure of an arc is given in degrees or radians, and it is determined by the angle that it subtends at the center of the circle.

Thus, the measure of arc BC is (4w-5)° which is determined by (3w)°. That is:

(4w-5)° = (3w)°

4w-5 = 3w

4w - 3w = 5

w = 5

Therefore, the value of w is 5.

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Answer: Y= 1/2X+5

Step-by-step explanation: Equation of the line

The slope-intercept form of a line is given by:

Being:

m = the slope of the line

b = the y-intercept

We can also use the point-slope form of the line:

Being:

(h,k) = A point that belongs to the line

Two lines of slopes m1 and m2 are perpendicular if:

We are given the line:

Whose slope is m1=-2

Thus, the perpendicular line has a slope of:

The required line contains the point (-8,1), thus the equation is:

Removing the parentheses:

Adding 1:

Operating:

To determine the change in angular momentum (ΔL) of a cylinder from t = 0 to t = t0, a student can use the equation:

ΔL = I * Δω

where ΔL is the change in angular momentum, I is the moment of inertia of the cylinder, and Δω is the change in angular velocity.

To calculate Δω, the student needs to know the initial and final angular velocities, ω0 and ωt0, respectively. The change in angular velocity can be calculated as:

Δω = ωt0 - ω0

Once Δω is determined, the student can use the moment of inertia (I) of the cylinder to calculate ΔL using the equation mentioned earlier.

The moment of inertia (I) depends on the mass distribution and shape of the cylinder. For a solid cylinder rotating about its central axis, the moment of inertia is given by:

I = (1/2) * m * r^2

where m is the mass of the cylinder and r is the radius of the cylinder.

By substituting the known values for Δω and I into the equation ΔL = I * Δω, the student can calculate the change in angular momentum (ΔL) of the cylinder from t = 0 to t = t0.

It's important to note that this method assumes that no external torques act on the cylinder during the time interval. If there are external torques involved, the equation for ΔL would need to include those torques as well.

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The solution to the given system of simultaneous equations is x = 1, y = 2, and z = -3. The value of 3 - 2 is 1.

To solve the system of simultaneous equations, we can use the matrix method or any other appropriate method. Here, we'll use the matrix method.

   Representing the system of equations as a matrix equation AX = B, we have:

   A =

   [1 2 -1]

   [3 5 -1]

   [-2 -1 -2]

X =

[x]

[y]

[z]

B =

[6]

[2]

[4]

   To find X, we multiply both sides of the equation by the inverse of matrix A:

   X = \(A^(-1) * B\)

   Calculating the inverse of matrix A, we have:

 \(A^(-1) =\)

   [3/5 -1/5 1/5]

   [-1/5 2/5 -1/5]

   [1/5 1/5 -3/5]

   Multiplying \(A^(-1)\)by B, we obtain:

   X =

   [1]

   [2]

   [-3]

Therefore, the solution to the given system of simultaneous equations is x = 1, y = 2, and z = -3.

Now, let's find the value of 3 - 2:

3 - 2 = 1

Therefore, the value of 3 - 2 is 1.

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The circumference of circle of radius 70 cm is 440 \(cm^{2}\).

According to the question,

We have the following information:

Radius of the circle = 70 cm

(Diameter is twice that of its radius..)

We know that the following formula is used to find the circumference of circle:

Circumference of circle = 2πr

(More to know: the formula to find the area of circle is π\(r^{2}\).)

(More to know: there are two values of π. One is 3.14 and one is 22/7.)

Circumference of circle = 2*(22/7)*70

Circumference of circle = 440 \(cm^{2}\)

Hence, the circumference of the circle of radius 70 cm is 440 \(cm^{2}\).

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Answer:

5 or -8

Step-by-step explanation:

\((3 \times x) + x {}^{2} = 40\)

\(3x + {x}^{2} = 40\)

\( {x}^{2} + 3x - 40 = 0\)

using factorization method

\(( {x}^{2} + 8x) ( - 5x - 40) = 0\)

\(x(x + 8) - 5(x + 8) = 0\)

\((x - 5)(x + 8) = 0\)

\(x - 5 = 0\)

or

\(x + 8 = 0\)

\(x = 5\)

or

\(x = - 8\)

Answer:the answer is c

Step-by-step explanation: I got it right on edge btw I got you guys

Answer:

its c

Step-by-step explanation:

;3

Answer:

the dilation in g(x) as it relates to the parent function f(x) is a vertical dilation by a factor of 15000.

Step-by-step explanation:

The function g(x) is a dilation of the parent function f(x) = 0.98^x.

Specifically, g(x) = 15000(0.98)^x is a vertical dilation of f(x) = 0.98^x by a factor of 15000.

This means that the graph of g(x) is the same shape as the graph of f(x), but it is vertically stretched by a factor of 15000.

In other words, the values of g(x) are 15000 times greater than the values of f(x) for any given value of x.

For example, when x = 1, f(1) = 0.98 and g(1) = 15000(0.98) = 14700. This means that the number of visitors to the water park in the second month (x = 1) is 15000 times greater than the number of visitors in the first month.

Overall, the dilation in g(x) as it relates to the parent function f(x) is a vertical dilation by a factor of 15000.

Answer:

\(567 { {yx6 { {x}^{2} }^{?} }^{?} }^{2} \times \frac{?}{?} 6 {x156346x { \frac{6y9yx9 { { \sqrt[ \sqrt{6x9 = x { \div x \times - { + x2x2 {?}^{2} }^{2} }^{2} } ]{?} }^{?} }^{2} \times \frac{?}{?} }{?} }^{?} \times \frac{?}{?} }^{2} \)

Step-by-step explanation:

copy that in your paper good luck to you

Answer:

It's False

Step-by-step explanation:

both signs are < not ≤, which means they are not included. [ ] means the number is included, but ( ) means they are not.

Basically:

( )   =   > <    

[ ]   =   ≥ ≤

The demand function for a baseball team with a stadium capacity of 58000 spectators, a ticket price of $12, and an average attendance of 24000 is p(x) = 15 - x/2000. The ticket price that maximizes revenue is $0.50.

a) To find the demand function p(x), we can use the two data points given. We can use the point-slope form of the equation of a line:

p - p1 = m(x - x1)

where p1 and x1 are one of the data points, m is the slope of the line, and p is the ticket price.

Using the data point (24000, 12), we get:

p - 12 = m(x - 24000)

Using the data point (29000, 9), we get:

p - 9 = m(x - 29000)

Solving for m in both equations and setting them equal to each other, we get:

m = (12 - p) / (24000 - x) = (9 - p) / (29000 - x)

Simplifying and solving for p, we get:

p(x) = 15 - x/2000

Therefore, the demand function is p(x) = 15 - x/2000.

b) To maximize revenue, we need to find the ticket price that will result in the maximum number of spectators. We can find this by setting the derivative of the demand function with respect to x equal to zero:

dp/dx = -1/2000 = 0

Solving for x, we get:

x = 0

We need to find the maximum ticket price that will result in a positive number of spectators. We can do this by setting p(x) =0 and solving for x:

15 - x/2000 = 0

Solving for x, we get:

x = 30000

Therefore, the ticket price that will maximize revenue is:

p(30000) = 15 - 30000/2000 = $0.50

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The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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The two non-right angles in a right angled triangle balance each other out because the right angle already takes up 90 degrees of the triangle's 180 total angles. We refer to two angles as complementing each other when their sums equal 90 degrees.

The right angle, or 90°, is always one angle. The hypotenuse is the side with the 90° angle opposite. The longest side is always the hypotenuse. The sum of the other two inner angles is 90 degrees. Base and perpendicular are the names of the other two sides that are close to the right angle. The Pythagorean Theorem is a triangle formula.

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Find the slope of the parallel line

(7, 2) and is parallel to y= -2x+1?

When two lines are parallel, they have the same slope.  

                ⇒  if the slope of the given line is = - 2      

                     then the slope of the parallel line (m) = - 2

Determine the equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                              ⇒  y - 2  =  - 2 (x - 7)                                  

We can therefore write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:  

                     since   y - 2  = - 2 (x - 7)  

Answer:

I believe it is rational

Answer:The x-intercept is

(-3/2)

The y-intercept is

(0,-3)

Step-by-step explanation:

to find the x and y intercept you have to make x and y equal zero then solve.

finding x

2x+0=-3

2x/2=-3/2

x=-3/2

finding y

2(0)+y=-3

-2        -2

y= -5

We are given the graph of a parabolla. The vertex of the parabolla is the point (h,k) that is the highest/lowest. So, we simply need to take a look at where this happens. From the graph we can see that the lowest value occurs when x=0 and the height is 5. So the vertex would be the point (0,5)

The length of the side b for the right triangle ABC is equal to 5.276, and the measures of angle A and B are 64 and 26 to the nearest degree using the sine rule.

The sine rule is a relationship between the size of an angle in a triangle and the opposing side.

The side length b is derived using the Pythagoras rule as follows:

b = √(12.2² - 11²)

b = 5.276

Using the sine rule;

12.2/sin90 = 11/sinA

A = sin⁻¹(11 × sin90)/12.2 {cross multiplication}

A = 64.4

12.2/sin90 = 5.3/sinB

B = sin⁻¹(5.276 × sin90)/12.2 {cross multiplication}

B = 25.6

Therefore, the length of the side b for the right triangle ABC is equal to 5.276, and the measures of angle A and B are 64 and 26 to the nearest degree using the sine rule.

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