Find the ratio in which y-axis divides the line segment joining the points A(5, -6), and B (-1, -4). Also find the coordinates of the point of division.

Answer:

Cameron found 23 quarters and 57 dimes.

Step-by-step explanation:

Let the number of quarters Cameron found = Q

And the number of dimes = D

Since, total number of coins were 80,

Q + D = 80 -----(1)

Total amount of the coins was $11.45,

0.1D + 0.25Q = 11.45

10D + 25Q = 1145

2D + 5Q = 229 -----(2)

Equation (1) multiplied by 2 then subtracted by equation (2),

(2D + 5Q) - 2(Q + D) = 229 - 2(80)

(2D - 2D) + (5Q - 2Q) = 229 - 160

3Q = 69

Q = 23

From equation (1),

23 + D = 80

D = 57

Cameron found 23 quarters and 57 dimes.

Answer:

lower: 8 higher: 15

Step-by-step explanation:

100-36=64

sqrt(64=8

289-64=225

sqrt(225)=15

Answer:

This is how you do it. Find the radius of it. There is ur answer

Step-by-step explanation:

The acceleration a in reference frame Σ is equal to the acceleration a' in reference frame Σ' via the Galilean transformation.

To derive the transformation for acceleration, we differentiate the above equations with respect to time:

dx'/dt = dx/dt - u

dt'/dt = 1

The left-hand side of the first equation represents the velocity in frame Σ', while the right-hand side represents the velocity in frame Σ. Since the velocity is the derivative of the position, we can rewrite the equation as:

v' = v - u

where v and v' are the velocities in frames Σ and Σ' respectively.

Now, let's consider the acceleration. The acceleration is the derivative of the velocity with respect to time. Taking the derivative of the equation v' = v - u with respect to time, we have:

a' = a

where a and a' are the accelerations in frames Σ and Σ' respectively. This means that the acceleration remains unchanged when we transform from one reference frame to another using the Galilean transformation.

In conclusion, the acceleration a as described by the coordinates in frame Σ is equal to the acceleration a' as described by the new set of coordinates in frame Σ' via the Galilean transformation.

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Answer:

This is what you asked me just now.

Step-by-step explanation:

Answer:

1256

Step-by-step explanation:

You added the diameter for r and not the radius

3.14(20)^2

3.14(400)

1256

Let W = width of rectangle

Let W + 2 = length of rectangle = L

Perimeter = 2L + 2W

         56 = 2L + 2W

     since L = W + 2, we can substitute and solve

         56 = 2(W + 2) + 2W

         56 = 2W + 4 + 2W

         56 = 4W + 4

         52 = 4W

          W = 13

      the length 2 more than 13, which is 15

Area = L • W

       = 15 • 13

      = 195

Answer:

The surface area of the sphere is approximately equal to 379.9 square centimetres.

Step-by-step explanation:

The surface are a of a sphere with respect to radius is 4πr².  We're given the diameter, of 11 cm, so we know that the radius is 5.5 cm.

With that we can find the surface area:

\(a = 4\pi r^2\\a = 4\pi (5.5cm)^2\\a = 4\pi \times 30.25cm^2\\a = \pi \times 121cm^2\\a \approx 3.14 \times 121cm^2\\a \approx 379.9cm^2\)

Answer:

1. The cost of equity can be derived from the share price, which is the present value of the expected dividend one year from now(using the present value of growing perpetuity) as shown below:

share price=D1/(r-g)

share price=$500

D1=expected dividend one year from now=$4

r=cost of equity=unknown

g=constant growth rate=9%

$500=$4/(r-9%)

$500*(r-9%)=$4

r-9%=$4/$500

r=($4/$500)+9%

r=9.8

the Cost of Equity for the project is 9.8%

2. Compute the relevant cost of debt for this project is 5.53%

Market Value= 1,150

Face Value= 1,000

Term= 5 years, 10 semi-annual periods

Coupon Rate= 9%, 4.5% semi-annual rate

Tax Rate= 30%

N=10(semiannual coupons in 5 years)

PMT=45(semiannual coupon=face value*coupon rate/2=$1000*9%/2=$45)

PV=-1150(current market price)

FV=1000(face value of the bond is $1,000)

CPT(press compute)

I/Y=2.762766%(semiannual yield)

annual yield=2.762766%*2

annual yield=5.53%

3. The weighted average cost of capital is the sum of equity and the after-tax cost of debt multiplied by their respective market value weights

WACC=(cost of equity*weight of equity)+(after-tax cost of debt*weight of debt)

cost of equity=9.80%

the market value of equity raised=shares issued*market price of the share

the market value of equity raised=80,000*$500

the market value of equity raised=$40 million

weight of equity=market value of equity/total amount raised

weight of equity=$40 million/$100 million

weight of equity=40.00%

weight of debt=1-weight of equity

weight of debt=1-40.00%

weight of debt=60.00%

after-tax cost of debt=bond yield*(1-tax rate)

the after-tax cost of debt=5.53%*(1-30% )

the after-tax cost of debt=3.87%

WACC=(9.80%*40.00%)+(3.87%*60.00%)

WACC= 6.2426% or 6.24%

Therefore the WACC is 6.2426% or 6.24% rounded off to 2decimal place

4. Determine the initial cash flow for the project =$100 million

The initial cash outlay is the sum of the plant and machinery and net working capital investment required to commence the project

Plant and machinery= $80 million

Networking capital = $20 million

Total Initial Cash Flow= $100 million

5. Determine the earnings before taxes for years 1 through 5

Year

1 2 3 4 5

Revenue

120,000,000 120,000,000 120,000,000 120,000,000 120,000,000

Expenses

(80,000,000) (80,000,000) (80,000,000) (80,000,000) (80,000,000)

Depreciation (20,000,000) (15,000,000) (11,250,000) (8,437,500) (6,328,125)

EBT

20,000,000 25,000,000 28,750,000 31,562,500 33,671,875

Step-by-step explanation:

5. Depreciation schedule:

Year 1 = 80 × 25% = 20

Year 2 = (80-20) × 25% = 15

Year 3 = (80-20-15) × 25% = 11.25

Year 4 = (80-20-15-11.25) × 25% = 8.4375

Year 5 = (80-20-15-11.25-8.4375) × 25% = 6.328125

EBT = revenue - Expenses - depreciation

Year 1 = 120 - 80 - 20 = 20 Million

Year 2 = 120-80- 15 = 25 Million

Year 3 = 120-80- 11.25 = 28.75 Million

Year 4 = 120-80- 8.4375 = 31.5625 Million

Year 5 = 120-80- 6.328125 = 33.671875Million

The cost of equity of the project through the use of Gordan's formula will be 9.87%.

It should be noted that the price of stock is computed thus:

= Previous dividend + Growth / Cost of equity - Growth

Po = Do + g/Ke - g

500 = 4 + 9%/Ke - 9%

500 = 4 + (0.09 × 4) / Ke - 9%

500 = 4.36/Ke - 9%

500(Ke - 9%) = 4.36

500Ke = 4.36 + 45

500Ke = 49.36

Ke = 49.36/500

Ke = 9.87%

The cost of debt will be:

= Interest rate (1 - Tax rate)

= 9% × (1 - 30%)

= 9% × 0.7

= 6.30%

The amount of the cost of debt will be:

= $1000 × 6.30%

= $63.00

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Answer:

U are doing right but don't move ur compass when u are doing the line (i mean opposite line)otherwise ur line at not bisect

Answer:

the length of the latter would be 23 feet because we know one angle is 75 and the angle against the wall is 90 and the base is 6 feet answer is 23 feet

Step-by-step explanation:

Answer:

4032

Step-by-step explanation:

1 day is 1440 min

1440 divided by 10 = 144

144 times 4 = 576

576 times 7 (because there are 7 days in a week) = 4032

*I may be wrong if so im sorry*

Answer:

slope=4

Step-by-step explanation:

\(m=\frac{change(y)}{change(x)}\)

\(m=\frac{-8-(-4)}{-5-(-4)}\)

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

\(m=4\)

When distance is halved, force increases by 4 times.

What is gravitational force?

Each body in the universe attracts other bodies towards itself with a force known as Gravitational Force

According to Newton’s law of gravitation, “Every particle in universe attracts every other particle with a force whose magnitude is,

On combining these equations, we get

F = G × [M1M2]/r²

F ∝ M1M2/r²

Now , r' = r/2 ( given)

so, F' ∝ (m1m2) / (r/2)²

F' ∝(4 m1m2) / r²

Thus F' = 4×F

So, we can conclude that, when distance is halved, force increases by 4 times.

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Considering the definition of perpendicular line, the equation of the perpendicular line is y= -1/2x +5.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 2x-y=-4. Expressed in the form y = mx + b, you get:

-y= -4-2x

y= 4+2x

where:

If you multiply the slopes of two perpendicular lines, you get –1. So:

2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ 2

slope perpendicular line= -1/2

The line passes through the point (2, 4). Replacing in the expression y=mx +b:

4= -1/2× 2 + b

4= -1 + b

4+1 = b

5= b

Finally, the equation of the perpendicular line is y= -1/2x +5.

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Answer:

6y =y+25

6y-y=25

5y=25

y=25/5

y=5

hope that helps: )

Answer:

y = 5

Step-by-step explanation:

\(6y=y+25\)

Subtract y from both sides ;

\(6y-y=y+25-y\)

Simplify ;

6y - y = 5y

y -y =0

\(5y=25\)

Divide both sides by 5

\(\frac{5y}{5}=\frac{25}{5}\)

Simplify

\(y =5\)

Answer:

8

Step-by-step explanation:

If we write this as an expression it looks like \(16^{\frac{3}{4} }\)

Multiply the top number of the fraction by itself to find its square. Write the result and place the fraction line below it.

The points A(-4,3) ; B(-3,4) ; C(4,3) ; D(4,-3) are plotted on the graph.

What is meant by a coordinate plane?

Two number lines combine to generate the two-dimensional surface known as the coordinate plane. The x-axis is a single horizontal number line. The y-axis is the name of the vertical number line which is the other number line. The origin is where the two axes come together. The coordinate plane can be used to graph points, lines, and other things.

The given points are

A is 4 units to the left and 3 units up which means  A is (-4,3).

B is 3 units to the left and 4 units up which means B is (-3,4).

C is 4 units to the right and 3 units up which means C is (4,3).

D is 4 units to the right and 3 units down which means D is (4,-3).

All these 4 points are plotted on the coordinate plane and the graph is attached below.

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Answer:3

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

Step-by-step explanation:

The turning point of the parabola is (64, -43)

Turning point is that point on a parabolic curve in which the gradient of the curve changes value.

It is also the point on the curve in which the curve starts rising or falling.

Analysis:

\(27(x-64)^{2}\) + 43

27(x-64)(x-64) + 43

27(\(x^{2}\) -64x -64x +4096) + 43

27\(x^{2}\) -3456x +110592 +43

27\(x^{2}\) -3456x +110635

at turning point dy/dx = 0

dy/dx = 54x - 3456

54x - 3456 = 0

54x = 3456

x = 3456/54 = 64

To find the value of y at x = 64

27\((64)^{2}\) -3456(64) +110635

110592 - 221184 +110635 = -43

Therefore the turning point of the parabola is (64, -43)

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Answer:

1/3

Step-by-step explanation:

you have to subtract 1/3 from 2/3.

It would have been different if the question asked for taking away 1/3 of how much the cup was filled, though.

Hope this helps.

Good Luck

Answer:

1/3 is your answer

Step-by-step explanation:

2/3-1/3=1/3

The minimum volume of the tank which is required for combined lengths of the fish is equal to 15-gallon tank.

The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

By critically observing the graph of the capacity of the tank against the combined length of the fishes present in the tank, we can logically deduce that the y-intercept is 1, the point starts from (0, 1) and then passes through points (3, 4).

Substituting the given parameters into the slope formula, we have;

Slope, m = (4 - 1)/(3 - 0)

Slope, m = 3/3

Slope, m = 1.

Mathematically, the standard form of the equation of a straight line is given by;

y = mx + c

Where:

Also, we would find the total length of all the fishes in the tank:

Total length, x = (4 × 2) + (3 × 1) + (1 × 3)

Total length, x = 14 inches.

Next, we would write an expression for the equation of line of this graph:

y = 1(x) + 1

y = x + 1.

When x = 24, we have:

y = 14 + 1

y = 15-gallon tank.

In conclusion, the minimum volume of the tank which is required for combined lengths of the fish is equal to 15 inches.

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Complete Question:

You want to set up an aquarium and need to determine what size tank to buy. The graph shows tank sizes using a rule that relates the capacity of the tank to the combined lengths of the fish it can hold.

If you want four 2-inch platys, three 1-inch guppies, and a 3-inch loach, what is the smallest capacity tank you can buy?

17-gallon tank

13-gallon tank

15-gallon tank

14-gallon tank

Answer:

Joe is going with a speed of 7200

cm per minute. Bob is going with a speed of 8000

cm per minute. The distance between them change with 800

cm per minute. The distance will become 9000

cm in 10 minutes

Answer:

7200 8000 800 and 9000

Step-by-step explanation:

L

Answer:

3.5 and 3½

Step-by-step explanation:

Half of 7 is positive 3.5 aka 3½. It can't be -7/2 or -3.5 because they result in a negative number. It also can't be 7.2 because that's too big of a number.

The selling price is $36.25 and the markup amount is $11.25.

Given, Original cost of the bracelet, C = $25

Markup is 45% on the selling price

We need to calculate the selling price and the amount of the markup.

a) Selling price

We can find the selling price using the following formula:

Selling price = (1 + Markup%) × CostPrice = C × (1 + Markup%)

Putting the given values in the formula, we get:

Selling price = $25 × (1 + 45/100) = $25 × 1.45 = $36.25

Selling price of the bracelet is $36.25

b) Markup amount

The markup amount can be found using the following formula: Markup amount = Selling price - Cost price

Markup amount = $36.25 - $25 = $11.25

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The amount of money Rashon would need to invest is equal to $8,300.46.

Mathematically, the compound interest on an investment can be calculated by using this mathematical expression:

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

Where:

In this scenario, Rashon's investment is compounded quarterly at an interest rate of 6.9% as follows:

Quarterly interest rate = 0.069/4

Quarterly interest rate = 0.01725%

20,200 = P(1 + 0.01725)^{4 × 13}

20,200 = P(1.01725)^52

20,200 = 2.4336P

Principal, P = 20,200/2.4336

Principal, P = $8,300.46.

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Answer:

In this scenario, Rashon's investment is compounded quarterly at an interest rate of 6.9% as follows:

Quarterly interest rate = 0.069/4

Quarterly interest rate = 0.01725%

20,200 = P(1 + 0.01725)^{4 × 13}

20,200 = P(1.01725)^52

20,200 = 2.4336P

Principal, P = 20,200/2.4336

Principal, P = $8,300.46.

A data warehouse is a centralized repository that stores structured, historical data from various sources within an organization. A data mart is a subset of a data warehouse that focuses on a specific subject area or department within an organization. A data lake is a storage system that stores vast amounts of raw and unstructured data in its original format. Three commonly used approaches to cloud computing are Infrastructure as a Service, Platform as a Service and Software as a Service.

Data Warehouse:

A data warehouse is a centralized repository that stores structured, historical data from various sources within an organization. It is designed for reporting, analysis, and business intelligence purposes. Data warehouses consolidate data from different systems, transform it into a consistent format, and provide a unified view of the organization's data. For example, a retail company may create a data warehouse to store sales data from different stores and regions for analysis and decision-making.

Data Mart:

A data mart is a subset of a data warehouse that focuses on a specific subject area or department within an organization. It contains a subset of data relevant to a particular business unit or user group. Data marts are designed to provide more specialized and targeted analysis compared to a data warehouse. For example, within a data warehouse for a healthcare organization, there may be separate data marts for patient records, financial data, and supply chain management.

Data Lake:

A data lake is a storage system that stores vast amounts of raw and unstructured data in its original format. It is a repository that can hold structured, semi-structured, and unstructured data from various sources without the need for predefined schemas or data transformations. Data lakes allow for flexible and scalable storage and enable data exploration, advanced analytics, and machine learning. For example, a company may create a data lake to store customer logs, social media feeds, and sensor data for future analysis and insights.

Question 2:

Three commonly used approaches to cloud computing are:

1. Infrastructure as a Service (IaaS):

- Characteristics: Provides virtualized computing resources such as virtual machines, storage, and networks.

- Main characteristics: Allows users to have full control over the infrastructure and is highly scalable. Users are responsible for managing the virtual machines and software installed on them.

2. Platform as a Service (PaaS):

- Characteristics: Offers a platform and environment for developing, testing, and deploying applications.

- Main characteristics: Provides ready-to-use development tools, middleware, and databases. Users focus on application development and deployment while the underlying infrastructure is managed by the cloud provider.

3. Software as a Service (SaaS):

- Characteristics: Delivers software applications over the internet on a subscription basis.

- Main characteristics: Users access and use software applications hosted on the cloud without the need for installation or maintenance. The cloud provider handles the infrastructure, maintenance, and updates.

These approaches provide varying levels of control and responsibility to users, depending on their specific requirements and preferences.

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The correct option is C

Containing both apples and oranges.

Two techniques for dividing a set of objects into smaller groups are combination and permutation. Combining the components of the subset allows for any configuration. A permutation with the components of the subset listed in a specific order.

The briefing states that the "apples and oranges" box needs to be opened. The fruit that is within the box is the only type of fruit there is, so to speak. Imagine you discovered one apple in the container that was labeled with the words "apples" and "oranges" as well. You conclude that since all the boxes have allegedly been improperly labeled, the box labelled "apples" must logically contain only apples, and the box marked "oranges" cannot contain only oranges. In contrast to the box marked "apples," which may only include apples, the box marked "oranges" must contain both apples and oranges.

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I understand that the question you are looking for is:

There are three boxes, one contains only apples, one contains only oranges, and one contains both apples and oranges. The boxes have been incorrectly labeled such that no label identifies the actual contents of the box it labels. Opening just one box, and without looking in the box, you take out one piece of fruit. By looking at the fruit, you can immediately label all of the boxes correctly. Which box did you open?

A. Containing apple

B. Containing oranges

C. Containing both apples and oranges

D. Cannot be determined