I need help with this question​

The maximum money supply with a 5% reserve requirement and a $400 initial deposit is $8,000.

To calculate the maximum total amount of money that will be in the money supply, we need to consider the money multiplier effect based on the reserve requirement.

The money multiplier is given by the formula: MM = 1 / reserve requirement.

Given that the reserve requirement is 5% (rr = 0.05), the money multiplier is MM = 1 / 0.05 = 20.

The initial deposit is $400.

To calculate the maximum total amount of money in the money supply, we multiply the initial deposit by the money multiplier:

Maximum Money Supply = Initial Deposit * Money Multiplier

= $400 * 20

= $8,000.

Therefore, the maximum total amount of money that will be in the money supply is $8,000 when the reserve requirement is 5% and all currency is deposited in banks with no excess reserves.

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Answer:

Where I can't see the pattern made from sticks?

Answer:

The airplane is 222 miles far from the airport.

Step-by-step explanation:

After a careful reading of the statement, distances can be described in a vectorial way. A vector is represented by a magnitude and direction. That is:

Airplane flies 290 miles (east) (290 km with an angle of 0º)

\(\vec r_{A} = (290\,mi)\cdot i\)

Airplane flies 290 miles (northwest) (290 km with and angle of 135º)

\(\vec r_{B} = [(290\,mi)\cdot \cos 135^{\circ}]\cdot i + [(290\,mi)\cdot \sin 135^{\circ}]\cdot j\)

The resultant vector is equal to the sum of the two vectors:

\(\vec r_{C} = \vec r_{A} + \vec r_{B}\)

\(\vec r_{C} = \{(290\,mi) + \left[(290\,mi)\cdot \cos 135^{\circ}\right]\}\cdot i + \left[(290\,mi)\cdot \sin 135^{\circ}\right]\cdot j\)

\(\vec r_{C} = (84.939\,mi)\cdot i + (205.061\,mi)\cdot j\)

The magnitude of the final distance of the airplane from the airport is obtained by the Pythagorean Theorem:

\(\|\vec r_{C}\|=\sqrt{(84.939\,mi)^{2}+(205.061\,mi)^{2}}\)

\(\|\vec r_{C}\| = 221.956\,mi\)

The airplane is 222 miles far from the airport.

Problem 1

Diego could have squared either -2 or 2

(-2)^2 = (-2)*(-2) = 4

(2)^2 = (2)*(2) = 4

Andre could have squared whatever Diego didn't square. If Diego picks -2, then Andre would pick 2, or vice versa.

================================================

Problem 2

If you haven't learned about complex or imaginary numbers yet, then the answer would be "There's no such number".

However, if your teacher has covered complex or imaginary numbers by this point, then Jada could pick either -2i or 2i

(-2i)^2 = (-2i)*(-2i) = 4i^2 = 4(-1) = -4

(2i)^2 = (2i)*(2i) = 4i^2 = 4(-1) = -4

Whatever Jada picks, Elena will pick the opposite value.

It's worth noting that ratios can indicate certain relationships between the line segments

To calculate ratios in geometry, you need to compare the lengths of different line segments or sides of a shape. In this case, we are given points A, B, C, and D, and we need to calculate the ratios of AB to BC and AD to DC.

To calculate the ratio of AB to BC, you need to divide the length of AB by the length of BC. Let's say AB has a length of x units and BC has a length of y units. The ratio of AB to BC is given by:

Ratio AB to BC = AB / BC = x / y

To calculate the ratio of AD to DC, you need to divide the length of AD by the length of DC. Let's say AD has a length of p units and DC has a length of q units. The ratio of AD to DC is given by:

Ratio AD to DC = AD / DC = p / q

To find the actual values of the ratios, you would need the specific measurements or lengths of the line segments AB, BC, AD, and DC. Once you have those values, you can substitute them into the respective ratio formulas to calculate the ratios.

In the given information, the specific lengths of the line segments are not provided. Therefore, we cannot determine the actual values of the ratios in this case.

However, it's worth noting that ratios can indicate certain relationships between the line segments. For example, if the ratios are equal, it suggests a proportional relationship between the lengths. If the ratios are different, it suggests an unequal relationship between the lengths.

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The limit of the function f(x, y) as (x, y)→(-3, 3) exists and is equal to e^(9)cos(-9).

To find the limit, if it exists, of the function f(x, y) = e^(-xy)cos(xy) as (x, y)→(-3, 3), we can simply substitute the values of x and y into the function,

Substitute x = -3 and y = 3 into the function.
f(-3, 3) = e^(-(-3)(3))cos((-3)(3))

Simplify the expression.
f(-3, 3) = e^(9)cos(-9)

So, the limit of the function f(x, y) as (x, y)→(-3, 3) exists and is equal to e^(9)cos(-9).

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Answer:

0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39, 0.4, 0.41, 0.42, 0.43, 0.44, 0,45, 0.46, 0.47, 0.48, 0.49, 0.5

Step-by-step explanation:

PLS GIVE BRAINLIEST

A relationship between two variables in which one variable increases at the same time that the other increases is called a positive correlation.

This means that when one variable goes up, the other also goes up, and when one variable goes down, the other also goes down.

For example, if you were to graph the relationship between height and weight, you would see that as height increases, weight also tends to increase. This is an example of a positive correlation between the two variables.

Similarly, if you were to graph the relationship between the amount of time spent studying and test scores, you would likely see that as the amount of time spent studying increases, test scores also tend to increase, indicating a positive correlation between these two variables.

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The lengths of the diagonals or "hips" of the trapezoid are:

d1 = 10 cm

d2 = 4 cm

In an inscribed trapezoid, the opposite angles are supplementary, meaning they add up to 180 degrees. Since one of the angles in the trapezoid is 120 degrees, the opposite angle will be 180 - 120 = 60 degrees.

Now, let's label the trapezoid. Let A and B be the endpoints of the longer base, with AB = 10 cm, and let C and D be the endpoints of the shorter base, with CD = 4 cm. Let E be the intersection point of the diagonals, creating two triangles within the trapezoid.

Since the opposite angles at the intersection point of the diagonals are equal, we have angle AEC = angle BDE = 60 degrees.

Since the sum of the angles in a triangle is 180 degrees, we can find angle AED by subtracting the sum of angles AEC and BDE from 180 degrees:

angle AED = 180 - (angle AEC + angle BDE)

angle AED = 180 - (60 + 60)

angle AED = 60 degrees

Now, let's consider triangle AED. It is an isosceles triangle since AE = ED (both are radii of the circle). Thus, angle ADE = angle AED = 60 degrees.

We have angle AED = angle ADE = 60 degrees, and angle AEB = 120 degrees. Therefore, angle ABE = 180 - (angle AED + angle AEB) = 180 - (60 + 120) = 0 degrees.

Angle ABE being 0 degrees means that line AB is parallel to line CD. Hence, the trapezoid is actually a rectangle.

In a rectangle, the diagonals are equal in length. Let's denote the length of the diagonals as d1 and d2.

Since AB and CD are the bases of the trapezoid, d1 is equal to the longer base AB, and d2 is equal to the shorter base CD:

d1 = 10 cm

d2 = 4 cm

Therefore, the lengths of the diagonals or "hips" of the trapezoid are:

d1 = 10 cm

d2 = 4 cm

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Answer:

1st graph: m = -1/2. (m is the slope)

2nd graph: m = 3/2.

3rd graph: Midpoint = (1/2, 1/2)

Step-by-step explanation:

1st graph:

Find the slope by looking for two points on the line. Use the formula \(m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}\)

We can derive the points (-3, 0) and (1, -2). Plug these into the equation above.

\(m= \frac{-2-0}{1-(-3)}\)

Simplify this, giving you: m = -1/2.

2nd graph:

Use the same formula as stated above. From this graph, you can plug in the points (-1, 1) and (1, 4)

\(m = \frac{4-1}{1-(-1)}\)

Simplifying gets you: m = 3/2.

3rd graph:

To find the midpoint, use the formula: \((\frac{x_{1}+x_{2} }{2} , \frac{y_{1} +y_{2} }{2} )\)

Plug in the end-points of the graph, or (-3, 2) and (4, -1).

You get:

\((\frac{-3+4}{2}, \frac{2-1}{2})\)

Simplify:

Midpoint = (1/2, 1/2)

This is the Taylor polynomial of degree n = 4 for x near the point a for the function sin(3x). To find the Taylor polynomial of degree n = 4 for x near the point a for the function sin(3x), we need to compute the function's derivatives up to the fourth derivative at x = a.

The Taylor polynomial of degree n for a function f(x) near the point a is given by:

P(x) = f(a) + f'(a)(x - a) + (f''(a)/2!)(x - a)^2 + (f'''(a)/3!)(x - a)^3 + ... + (f^n(a)/n!)(x - a)^n,

where f'(a), f''(a), f'''(a), ..., f^n(a) represent the first, second, third, ..., nth derivatives of f(x) evaluated at x = a. In this case, the function is f(x) = sin(3x), so we need to compute the derivatives up to the fourth derivative:

f(x) = sin(3x),

f'(x) = 3cos(3x),

f''(x) = -9sin(3x),

f'''(x) = -27cos(3x),

f^4(x) = 81sin(3x).

Now we can evaluate these derivatives at x = a to obtain the coefficients for the Taylor polynomial:

f(a) = sin(3a),

f'(a) = 3cos(3a),

f''(a) = -9sin(3a),

f'''(a) = -27cos(3a),

f^4(a) = 81sin(3a).

Substituting these coefficients into the formula for the Taylor polynomial, we get:

P(x) = sin(3a) + 3cos(3a)(x - a) - (9sin(3a)/2!)(x - a)^2 - (27cos(3a)/3!)(x - a)^3 + (81sin(3a)/4!)(x - a)^4.  

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Answer:

12 students.

Step-by-step explanation:

If you had 4 sheets, you would want to start by dividing them all in 3's, since that's easiest. (open the file i just for a better example of how the sheet should look).

Now, let's assume these sheets are regular office sized paper.

Start by handing 1 third out to A student.

Now, since there are 4 sheets, divided in 3 sections, we multiply to see the result of how many sections there are.

4 x 3 = 12.

Therefore, 12 students will receive a third of the tissue paper.

Answer:

Your answer is \(4\sqrt{2x} \sqrt{x} +6\sqrt{2x}\)

Step-by-step explanation:

(attached)

Answer:

4x-4

Step-by-step explanation:

x-10+3x+6=4x-4

Hope helps :3

Answer: 4x-16

Step-by-step explanation:

So, yes, it is possible for the result to be the same when the order is reversed when composing two functions.

Yes, it is possible for the result to be the same when the order is reversed when composing two functions. This property is known as commutativity.

To demonstrate this, let's consider two functions, f(x) and g(x). If we compose them in the original order, we would write it as g(f(x)), meaning we apply f first and then apply g to the result.

However, if we reverse the order and compose them as f(g(x)), we apply g first and then apply f to the result.

In some cases, the result of the composition will be the same regardless of the order. For example, let's say

f(x) = x + 3 and g(x) = x * 2.

If we compose them in the original order, we have

g(f(x)) = g(x + 3)

= (x + 3) * 2

= 2x + 6.

Now, if we reverse the order and compose them as f(g(x)), we have

f(g(x)) = f(x * 2)

= x * 2 + 3

= 2x + 3.

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Answer:

54ft^2

Step-by-step explanation:

The area of a rectangle can be found by using Base times by the Height.

In your problem, you have that B = 9ft and H = 6ft

Using the formula of the Area of a rectangle, you can find that the answer is 54.

9 x 6 = 54 ft^2

The ft^2 means that it is using Area --> If you were confused on that part

The answer you are looking for is 54ft^2.

To find the area of a rectangle, you multiply the length (9) by the width (6). 9 * 6 = 54. The unit of measure is feet (ft).

Next you add the power of 2 (^2), because you you found the area of half the rectangle. meaning 54ft^2 is your answer.

I hope this helps!

The equation of the line that passes through (6,4) and is parallel to the line 3y-x = -12 is y =  (1/3)x + 2

The equation of the parallel to the line is

3y - x = -12

The slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

Rearrange the equation to find the slope of the line

3y - x = -12

3y = x - 12

y = (x - 12) / 3

y = (1/3)x - 4

The slope of the line is 1/3. The slope of the both line will be equal because both are parallel line

The point  slope form is

\(y-y_1=m(x-x_1)\)

y-4 = (1/3)(x-6)

y-4 = 1/3x - 2

y = (1/3)x - 2 +4

y = (1/3)x + 2

Hence, the equation of the line is y =  (1/3)x + 2

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Step-by-step explanation:

Let x and y pounds of Candy A and Candy B be mixed respectively.

Rate of Candy A and Candy B are $0.78 and $1.33 per pound respectively.

Now,

(A) x + y = 8

(B) 0.78x + 1.33y = 7.84

Solving both equations :

0.33y = 1.6

x = 3.16 pounds of Candy A

y = 4.84 pounds of Candy B

A research methodology outlines sources of existing data as well as specific research approaches, sampling plans, and measurement instruments.

It provides a detailed and systematic approach to answering research questions and is essential for ensuring the validity and reliability of research findings.

The question is asking for a description of the various sources of data that are available, as well as the different research methods, sampling plans, and measurement tools that can be utilized in data collection.

Some examples of existing data sources include public records, government databases, published reports and articles, and surveys or polls conducted by other organizations.

Research approaches could include qualitative or quantitative methods, experimental or observational designs, or case studies.

Sampling plans would involve determining the appropriate population to be studied and the selection of participants for the study, while measurement instruments would refer to the specific tools used to collect data, such as surveys, questionnaires, or observation checklists.

The selection of appropriate sources, methods, plans, and instruments will depend on the research question, the target population, and the desired outcomes of the study.

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Answer:

I think the right answer would be 7

Step-by-step explanation:

We got-ta use the equation: CA * BA = DA²

CA = 15 + BA

DA² = 8² = 64

=> (15 + BA) BA = 64

Subtract 15 from each side:

BA(BA) = 49

BA² = 49

Now take the square root of each side

BA = 7

Hope this helps!

The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).

To solve the given differential equation

2xy(dy/dx) = y²

We will use separation of variables and integrate to find the solution.

Start with the given equation

2xy(dy/dx) = y²

Divide both sides by y²:

(2x/y) dy = dx

Integrate both sides:

∫(2x/y) dy = ∫dx

Integrating the left side requires a substitution. Let u = y², then du = 2y dy:

∫(2x/u) du = ∫dx

2∫(x/u) du = ∫dx

2 ln|u| = x + C

Replacing u with y²:

2 ln|y²| = x + C

Using the properties of logarithms:

ln|y⁴| = x + C

Exponentiating both sides:

|y⁴| = \(e^{x + C}\)

Since the absolute value is taken, we can remove it and incorporate the constant of integration

y⁴ = \(e^{x + C}\)

Simplifying, let A = \(e^C:\)

y^4 = A * eˣ

Taking the fourth root of both sides:

y = (A * eˣ\()^{1/4}\)

Now we can incorporate the initial condition y(2) = 3

3 = (A * e²\()^{1/4}\)

Cubing both sides:

27 = A * e²

Solving for A:

A = 27 / e²

Finally, substituting A back into the solution

y = ((27 / e²) * eˣ\()^{1/4}\)

Simplifying further

y = (27 *  e⁽ˣ⁻²⁾\()^{1/4}\)

Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is

y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)

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Answer:

Yes, the answer b is correct

Step-by-step explanation:

... lol

Answer: -1.6n - 1

Step-by-step explanation:

1. Rearrange the expression so like terms are next to each other

3.2n - 4.8n + 5 -6

2. Combine like terms

-1.6n - 1

3. Check your work, and your simplified expression should be correct!

Answer:

He sold 12 phones and 20 accessories

Step-by-step explanation:

X × 10 = 120. Y × 2 = 40

12 × 10 = 120. 20 × 2 = 40

120 + 40 = $160

Step-by-step explanation:

When we translate a graph adding X units it will have a horizontal shift to the left.

But if we subtract X units, it'll have a horizontal shift to the right

So in this case, x-3 means we are doing a horizontal shift to the right.

Answer:

The length of each side of square is 5ft.

Step-by-step explanation:

A composite figure is formed by combining a square and a triangle. Its total area is 32.5ft squared.

The area of the triangle is 7.5ft squared.Area of combined figure - area of triangle = area of square.

32.5 ft squared - 7.5 ft squared = 25 ft squared.

So, area of square = 25 ft squared.

Now, by putting the formula for getting the length of each side:

Let the side = a.

Area of square = 25 ft squared

Area of square = a²

Using square root both sides we get:

So, the side = 5 ft.

Therefore, the length of each side of square is 5ft.

sin(2x) is equal to -4√(5/27).The problem provides information about sine and cosine values for angle x.

sin(x) = 2/3

cos(x) is negative

We need to find the value of sin(2x) using this information.

Solving the problem step-by-step.

Start with the identity: sin(2x) = 2sin(x)cos(x).

Substitute the given values: sin(2x) = 2(2/3)(cos(x)).

Since we know that cos(x) is negative, we can assign it as -√(1 - sin^2(x)) using the Pythagorean identity cos^2(x) + sin^2(x) = 1.

Calculate sin^2(x): sin^2(x) = (2/3)^2 = 4/9.

Substitute the value of sin^2(x) into the equation for cos(x): cos(x) = -√(1 - 4/9) = -√(5/9).

Substitute the value of cos(x) into the equation for sin(2x): sin(2x) = 2(2/3)(-√(5/9)).

Simplify: sin(2x) = -4√(5/27).

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