Yolanda would like to attend a 12-month program that will certify her as a court reporter. The program costs $8,500 in tuition, fees, and books and will allow her to make
about $31,250 a year when she becomes certified. She will not have time to work during the year of training. Assuming she could make $18,000 a year without the
training, how many years will it take her to recoup her investment? years

Answer:

For a rectangle with length 3x+4 and perimeter of 10x+18, what is the width of the rectangle

The least-positive root of f(x) is approximately 0.74181.

The function f(x) = cos(0.5x²-2)+x-4 represents a graph that combines a cosine function with a quadratic term and a linear term. To find the least-positive root of f(x) using the bisection method, we start with an interval [a, b] such that |b-a| = 1. We evaluate f(a) and f(b) and check if their product is negative, indicating that a root lies within the interval.

We repeat the process by bisecting the interval and evaluating the function at the midpoint. We update the interval to [a, c] or [c, b] depending on the sign of f(c). We continue this process until the interval becomes sufficiently small, with |b-a| ≤ 0.001.

Performing the calculations iteratively, the least-positive root of f(x) is found to be approximately x = 0.74181.

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Hey there!

ax = 6

Divide both of your sides by “a”

ax/a = 6/a

Cancel out: a/a because that gives you 1 (or you can say)

Keep: 6/a because it is our value of x

Thus, your answer is mostly likely: x = 6/a

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

The answers are 20 years for myself and 10 years for your friend

Step-by-step explanation:

I need help on how to write the whole format out but those are definitely the right answers.

The statement "Linear programming can be used to find the optimal solution for profit, but cannot be used for nonprofit organizations" is False.

Linear programming can be used to find the optimal solution for profit as well as for non-profit organizations. Linear programming is a method of optimization that aids in determining the best outcome in a mathematical model where the model's requirements can be expressed as linear relationships. Linear programming can be used to solve optimization problems that require maximizing or minimizing a linear objective function, subject to a set of linear constraints.

Linear programming can be used in a variety of applications, including finance, engineering, manufacturing, transportation, and resource allocation. Linear programming is concerned with determining the values of decision variables that will maximize or minimize the objective function while meeting all of the constraints. It is used to find the optimal solution that maximizes profits for for-profit organizations or minimizes costs for non-profit organizations.

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Answer:

x = 5

Observe the parallelograms inside the shape. Their sides correspond to half the big triangle.

Step-by-step explanation:

2x + (3x + 2) + (4x + 1) = 48

9x + 3 = 48

x = 5

Answer:

I think rhombus.

Step-by-step explanation:

Because a rhombus has all sides equal but no right angles. Squares and Rectangle both have right angles. And trapezoids have all different sides.

Answer:

Rhombus

Step-by-step explanation:

Answer:

18.445

Step-by-step explanation:

Multiply

Answer:

wouldn't it be 81 cause the inner triangle is just a mini version of the bigger triangle?

360-81= 279

279÷3= 93 (shorter side)

93+93= 186 (longer side)

360-279= 81

Answer: p = 2

29 = P + 27

-27       -27

2 = p

your answer is p=2

Step-by-step explanation:

29=p+27

-27. -27

2 = p

Answer:

-10

Step-by-step explanation:

Answer:

160 + 3x = 195 - 2x

Step-by-step explanation:

x = the number of weeks until they weigh the same

The return predicted by CAPM for a portfolio with a beta of 0.8 is 10.8%, and the return predicted by CAPM for a portfolio with a beta of 1.5 is 15%.

The Capital Asset Pricing Model (CAPM) is a financial model that predicts what the return on an asset should be based on its expected risk and return. CAPM allows investors to calculate the expected return on a portfolio of stocks given its systematic risk.To answer this question, we need to know that the CAPM formula is:CAPM = Risk-free rate + (Beta x Market risk premium) where Beta = the systematic risk of the portfolio (measured by the beta coefficient), and the Market risk premium = (Market return - Risk-free rate).

Here are the characteristics of two portfolios, the market index, and the risk-free asset.Portfolio A:Expected Return = 11%Beta = 0.8Standard Deviation = 10%Portfolio B:Expected Return = 14%Beta = 1.5Standard Deviation = 31%Market index:Expected Return = 12%Beta = 1Standard Deviation = 20%T-bills:Expected Return = 6%Beta = 0Standard Deviation = 0%.

We can now calculate the return predicted by CAPM for a portfolio with a beta of 0.8 (Portfolio A). CAPM = Risk-free rate + (Beta x Market risk premium)Market risk premium = Market return - Risk-free rate = 12% - 6% = 6%CAPM = 6% + (0.8 x 6%) = 10.8%Therefore, the return predicted by CAPM for a portfolio with a beta of 0.8 is 10.8%.

We can also calculate the return predicted by CAPM for a portfolio with a beta of 1.5 (Portfolio B). CAPM = Risk-free rate + (Beta x Market risk premium)Market risk premium = Market return - Risk-free rate = 12% - 6% = 6%CAPM = 6% + (1.5 x 6%) = 15%Therefore, the return predicted by CAPM for a portfolio with a beta of 1.5 is 15%.In conclusion, the return predicted by CAPM for a portfolio with a beta of 0.8 is 10.8%, and the return predicted by CAPM for a portfolio with a beta of 1.5 is 15%.

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The radius of the hemisphere is approximately 5.7 inches.

The volume of a hemisphere is given by the formula:

V = (2/3)πr³

V is the volume of the hemisphere and r is the radius.

We are given the volume of the hemisphere as 885 in³.

Solving for r we get:

r = \([(3V)/(2\pi)]^{(1/3)\)

Substituting V = 885 in³, we get:

r = \([(3 \times 885)/(2\pi)]^{(1/3)\)

≈ 5.7 inches (rounded to the nearest tenth)

The radius of the hemisphere is approximately 5.7 inches.

The formula: gives the volume of a hemisphere.

V = (2/3)πr³

r is the radius and V is the hemisphere's volume.

The hemisphere's size is specified as 885 in3.

When we solve for r we get:

r = \([(3V)/(2\pi)]^{(1/3)\)

With V = 885 in3 we obtain:

r = [(3 x 885)/(2π)](Rounded to the nearest tenth) (1/3) 5.7 inches

As a result the hemisphere's radius is around 5.7 inches.

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The correlation coefficient between x and y is 0.61. The formula for the correlation coefficient (r) between two variables x and y is:

r = covariance(x, y) / (standard deviation(x) * standard deviation(y))

We are given that the covariance between x and y is 1225, the variance of x is 1600, and the variance of y is 2500. Since variance is the square of standard deviation, we can calculate the standard deviations of x and y as:

standard deviation(x) = sqrt(variance(x)) = √(1600) = 40

standard deviation(y) = sqrt(variance(y)) = √(2500) = 50

Plugging in these values into the formula for the correlation coefficient, we get:

r = 1225 / (40 * 50) = 0.61

r = 1225/(2000) = 0.61

Therefore, the correlation coefficient between x and y is 0.61.

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One strategy that may help Emilio write more fluently is practicing speed writing or shorthand techniques.

Practicing speed writing or shorthand techniques can help Emilio increase his writing speed without sacrificing legibility. Speed writing involves using abbreviations, symbols, and shortcuts to represent words or phrases, allowing for faster transcription of thoughts onto paper.

Shorthand systems, such as Gregg shorthand or Pitman shorthand, provide structured methods for condensing words and phrases into simplified symbols.

By learning and practicing speed writing or shorthand techniques, Emilio can improve his writing efficiency and reduce the time it takes to write a few sentences. This strategy allows him to maintain neatness while increasing his writing speed, enabling him to express his thoughts more fluently.

With regular practice and familiarity, Emilio will become more comfortable with the shorthand system and experience a significant improvement in his writing speed and fluency.

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Answer:

2x + 2

Step-by-step explanation:

f(x) = 2x- 4

f(x+3) = 2(x+3) - 4

         = 2x + 6 - 4

         = 2x + 2

The label for the soup can would need to be approximately 0.17 square meters in size to cover its dimensions of 9.5 cm height and 0.07 m width.

To calculate the size of the label needed for the soup can, we need to determine its surface area. The surface area of a cylinder can be found by calculating the sum of the areas of its curved surface and its two circular bases.

The curved surface area of the soup can is given by the formula:

Curved Surface Area = 2 * π * radius * height

The radius of the can is half of its width, so the radius would be 0.07 m / 2 = 0.035 m.

The curved surface area of the can would be:

Curved Surface Area = 2 * π * 0.035 m * 0.095 m = 0.021 m²

The label needs to cover the entire surface area of the can, including the curved surface and the two circular bases. Since the can has two circular bases, the total surface area would be twice the curved surface area.

Total Surface Area = 2 * Curved Surface Area = 2 * 0.021 m² = 0.042 m²

Therefore, the label for the soup can would need to be approximately 0.042 square meters or 0.17 square meters (rounded to two decimal places) in size to cover its dimensions of 9.5 cm height and 0.07 m width.

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This question is incomplete

Complete Question

The area of a sector of a circle is given by the equation A = πr²S/360 where r is the radius of the circle and S is the angle measure of the sector. If Mia solved this equation for S, which of the following equations did she write?

a) 360A+ πr²

b) 360A - πr²

c) 360 + A / πr²

d) 360A/ πr²

Answer:

d) 360A/ πr²

Step-by-step explanation:

In the above question,

Area of the sector (A) = πr²S/360

r = radius

We are also told that Mia solved for S = Angle measure of the sector.

In other to find the equation that Mia used to solve for S,

We would use the Subject of the formula method.

Area of the sector (A) = πr²S/360

We cross Multiply

360 × A = πr²S

Making S the subject of the formula, we divide both sides by πr²

360 × A / πr² = πr²S/ πr²

S = 360 × A/ πr²

S = 360A/ πr²

Therefore, the equation Mia wrote if she solve this equation ( A = πr²S/360) for S is :

S = 360A/ πr²

Option d is the correct option.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

diagram

Step 02:

angles (values x and y):

we must analyze the diagram to find the solution.

x = 81

5y - 39 = 180 - x

5y - 39 = 180 - 81

5y - 39 = 99

5y = 99 + 39

5y = 138

y = 138 / 5

The answer is:

x = 81

y = 138 / 5 = 27.6

A "probability sample" is a sample in which every element in the population has a known statistical likelihood of being selected.

Probability sampling is a methodology in which the researcher selects samples from a broader population using a probability theory-based method. A participant must be chosen at random in order to be used as a probability sample.

Some key features regarding probability sampling are-

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Answer:

64 cm²

Right corner rectangle:

Bottom rectangle:

Together:

Answer:

d.  64 cm²

Step-by-step explanation:

Separate the shape into two rectangles (see attached image).

Formula

Area of a rectangle = width × length

Rectangle 1

Area = 2 × 12

        = 24 cm²

Rectangle 2

Area = 5 × (10 - 2)

        = 5 × 8

        = 40 cm²

Total Area

Total area = Area of Rectangle 1 + Area of Rectangle 2

                  = 24 + 40

                  = 64 cm²

Answer:

$115

Step-by-step explanation:

The cost of the labor per hour is $115.

The total amount that the technician charged her is the sum of the cost for the total hours worked and the costs of the parts.

Total charge = cost of total hours worked + cost of parts

$749 = $59 +  cost of total hours worked

Cost of total hours worked = $749 - $59

Cost of total hours worked = $690.

Given:

Cost of an item with VAT = Rs 1,356

Cost of that item without VAT = Rs 1,200.

To find:

The VAT.

Solution:

We have,

Cost of an item with VAT = Rs 1,356

Cost of that item without VAT = Rs 1,200.

We know that,

VAT = Cost of an item with VAT - Cost of that item without VAT

       = 1356 - 1200

       = 156

Therefore, the value of VAT is $156.

Answer:

the answer is c

Step-by-step explanation:

Answer:

497150.4

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Answer:

How much will the handmade scarves and jewellery cost?

How much are they planning to spend on operating costs for their business every year?

Step-by-step explanation:

Answer:

(X2+5)(3x2-2)

Step-by-step explanation:

=(3x4-2x2)+(15x2-10)

X2(3x2-2)+5(3x2-2)

(X2+5)(3x2-2)