A local talent is selling underground CD's to get his rap career off the ground. Each crate contains 40 blank CD's. Each crate cost $30. How much should he sell his CD's to make a profit of $110? (Hint: Profit = Income - Expense)

Answer:

a. 75.3% is the expected percentage and this value corresponds to 753 million dollars

b. 34.62% of items corresponds to 75% of this sales volume

Step-by-step explanation:

a. A =x(1-y)/(y-x)

X = 0.15, y = 0.50

A = 0.15(1-0.50)/(0.50-0.15)

= 0.15(0.5)/0.35

A = 0.2143

we have

x = 0.35

y = 0.35(1+0.2143)/(0.2143+0.35)

y = 0.425005/0.5643

y = 0.7531

y = 75.3%

75.3% is the expected percentage and this value corresponds to 753 million dollars

b. y = 0.75

find x

y = x(1+A)/(A+x)

x = yA/(1+A-y)

x = 0.75(0.2143)/1+0.2143-0.75)

x = 0.160725/0.4643

x = 0.3462

34.62% of items corresponds to 75% of this sales volume

We can note that the left term is quadratic in y and the right term is linear in x. This means the only possible curve is a parabola. Then, the answer is option B.

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

Lucio is 64 meters from the starting point.

The square has four sides of equal length, so Lucio has walked half the length of one side.

To return to the starting point, he needs to walk the other half of the side, which is 64 meters.

The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.

With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.

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The question in English:

In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?

Answer:

30 bowls

Step-by-step explanation:

 9 lb   /   (3/10 lb/bowl)   =   9 * 10/3  bowls = 30 bowls

After solving the quadratic equation, the roots are (x - 2) and (x + 7).

To determine values for various parameters, quadratic functions are employed in a variety of engineering and scientific disciplines. A parabola is used to graphically illustrate them.

The direction of the curve is determined by the highest degree coefficient. Quadratic is a derivative of the term quad, which signifies square.

As per the given equation in the question,

x² + 5x - 14 = 0

b² - 4ac

5² - 4(1)(-14)

25 + 56 = 81

Use the equation,

-b ± \(\sqrt{b^2-4ac}/2a\)

Substitute the values,

(-5 + 9)/2 = 2 and,

(-5 - 9)/2 = -7

Therefore, the root will be (x - 2) and (x + 7).

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If Gavin contributes towards a Pension fund (7,5% of his Basic Salary), then his net salary will be reduced by the amount he contributed towards pension fund i.e. R652.5.

1.1 Name of employee is Gavin Pillay. 1.2 UIF stands for Unemployment Insurance Fund. UIF is a benefit to provide short-term relief to workers who lose their jobs, or can't work due to illness, maternity or adoption leave. 1.3 The UIF paid by Gavin is calculated correctly.

Firstly, we need to calculate Gross Salary of Gavin, which is given as: Basic Salary + Overtime + M = R8700 + R1200 + R3201 = R13101Then, calculate total deductions from gross salary.

Total Deductions = PAYE + UIF = R1200 + 87 = R1287Hence, Gavin's net salary = Gross salary - Total Deductions = R13101 - R1287 = R11814Therefore, UIF paid by Gavin is calculated correctly as R87.1.4 This payslip is for the month of May i.e.

31/05/2023.1.5 Basic salary of Gavin = R8700. Deduct 7.5% of his basic salary to calculate his pension fund contribution. Pension Fund Contribution = 7.5/100 x R8700 = R652.5.1.6

Total deductions of Gavin includes PAYE, UIF and pension fund contribution.

Therefore, Total Deductions = PAYE + UIF + Pension Fund Contribution = R1200 + R87 + R652.5 = R1939.5.1.7

Gavin's age can not be determined as his date of birth is not provided.1.8 Address of Gavin's workplace is 21 Halsted Road, Pietermaritzburg?

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Answer:

y = 3x - 42

Step-by-step explanation:

Answer:

w= 3 feet

h= 5 feet

Step-by-step explanation:

H=height; W=width=2H-7ft

W=2H-7ft

2H+4W=22ft Substitute for W

2H+4(2H-7ft)=22ft

2H+8H-28ft=22ft Add 28 ft to each side.

10H=50ft

H=5 ft ANSWER 1: The bookshelf is 5 feet high.

W=2H-7ft=2(5ft)-7ft=10ft-7ft=3ft

ANSWER 2: the bookshelf is 3 feet wide.

CHECK:

2H+4W=22ft

2(5ft)+4(3ft)=22ft

10ft+12ft=22ft

22ft=22ft

Hope this helps!

The correct answer is: χ2 = 2.48, P-value is between 0.10 and 0.15.

First, let's calculate the expected frequencies for each political party affiliation in the sample:

Expected frequency for Democrats: 0.42 x 500 = 210

Expected frequency for Republicans: 0.34 x 500 = 170

Expected frequency for Independents: 0.24 x 500 = 120

Next, we can set up the chi-square test:

χ² = Σ((O - E)² / E)

Where:

O = observed frequency

E = expected frequency

Let's calculate the chi-square test statistic:

χ² = ((200-210)² / 210) + ((187-170)² / 170) + ((113-120)² / 120)

Calculating the above expression gives us:

χ² = (10² / 210) + (17² / 170) + (7² / 120)

χ^2 = 100/210 + 289/170 + 49/120

χ^2 ≈ 0.476 + 1.700 + 0.408

χ^2 ≈ 2.584

The calculated chi-square test statistic is 2.584.

Since we have 3 political party affiliations, the degrees of freedom would be 3 - 1 = 2.

Looking at the chi-square distribution table with 2 degrees of freedom, we find that the P-value for a chi-square test statistic of 2.584 is between 0.10 and 0.15.

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Answer:

91.................

The best approximation to the number of seedlings that are at least 2 inches high in the entire lawn is:

To identify the total number of seedling in the entire lawn, first you must add all the seedling counted by the researchers:

Now, you must divide 697 in the number of regions taken by the researchers ( in this case were 8), this to obtain the average:

Now, how we know, the entire lawn has a length of 8 feet and a width of 8 feet, it means 64 regions of one feet by one feet, by this reason, we multiply the average of seedlings by the whole regions in the lawn:

Taking into account the average of seedlings is 5576, the best approximates of seedlings that are at least 2 inches high in the entire lawn is 6400.

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By comparing the credit card and debit card we noticed that the uses of debit card are most preferable.

The card that allows a card holder to pay electronically while purchasing.

The debit card is directly connected to card holder's bank account.

The card that allows a card holder to borrow funds within a pre-approved credit limit.  It also helps a card holder to purchase by borrowing money.

The one of the most advantages of debit card compared to a credit card is a debit card has automatic overdraft protection.

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Answer:

1/20

Step-by-step explanation:

1/5 divided by four is 1/20

5x4=20

Answer:

1/20

Step-by-step explanation:

1/5 / 4

cross multiply but first write 4/1

4 * 5 IS 20

1* 1 = 1

1/20

Answer:

\( \huge A (n) = 5 ({2})^{n - 1} \\ \)

Step-by-step explanation:

The nth term of a geometric sequence is given by

\(A(n) = a _ 1( {r})^{n - 1} \)

a1 is the first term

r is the common ratio

From the question we have the final answer as

\(A (n) = 5 ({2})^{n - 1} \)

Hope this helps you

answer/explanation:

hope this helps

Answer:

Step-by-step explanation:

The sample proportion \(\hat p = \dfrac{50}{200}\)

\(\hat p = 0.25\)

The null hypothesis and the alternative hypothesis:

\(H_o: p = 0.20 \\ \\ H_1 : p > 0.20\)

Thus; the test statistics is:

\(Z = \dfrac{\hat p - p_o}{\dfrac{p_o(1-p_o)}{n} }\)

\(Z = \dfrac{0.25 -0.20}{\sqrt{\dfrac{0.20(1-0.20)}{200} }}\)

\(Z = \dfrac{0.05}{\sqrt{\dfrac{0.16}{200} }}\)

\(Z = \dfrac{0.05}{\sqrt{0.0008 }}\)

\(Z = 1.768\)

P-value = 2 × P(Z< - 1.768)

From the z tables

P-value = 2 × 0.03853

P-value = 0.07706

Thus, the p-value is 0.05 < P-value < 0.10

Answer:

5< r or r>5

Step-by-step explanation:

-25 > -6r+5

-5            -5

-30> -6r

-30/-6< -6r/-6   when dividing a negative number, the symbol switches

5< r or r>5

Hope this helps!

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer: (-4,0) and (4,0)

Step-by-step explanation:

Just look where the zeros are in the y (fx) column that corespont the the x.

Answer:

The table represents a nonlinear function because the rate is not constant.

Step-by-step explanation:

As shown in the picture below, the x side of the table has the same rate of change of +1. However, due to the fact that the y side does not have the same rate of change, +6 and +3, the table represents a non linear function. If the rate on the y side of the table were all the same, then this would be a Linear function.

Answer:

40000, 20000

Step-by-step explanation:

Let the amount a grandchild receives be \(x\). Then, the amount a child receives is \(2x\).

Thus, \(220000=2(2x)+7x=11x \implies x=20000\).

This means each grandchild gets $20,000 and each child gets $40,000.

The transformations for each function are given as follows:

1) Vertical compression by a factor of 5.

2) Vertical compression by a factor of 5 and a reflection over the x-axis.

The parent function for this problem is given as follows:

f(x) = 1/x.

For item 1, we have that x was multiplied by five, as the multiplication was in the domain, the transformation was a vertical compression by a factor of 5.

For item 1, along with the multiplication of x by 5, the function was also multiplied by -1, meaning that the function was reflected over the x-axis.

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Answer: 2.5 ft

Step-by-step explanation:

Ok, we know that the catcher is located in the y-axis.

As you know, the y-axis cuts the x-axis at x = 0, so the catcher is located at x = 0.

To see the heigth of the ball at x = 0 we can see the table, where we can see that when x = 0, f(x) = 2.5 ft

Then the correct option is the second one, 2.5 ft.

Answer:

The answer is  A. 2.5

The first option

Step-by-step explanation:

If we look at the question you'll see this phrase "X represents the horizontal distance the ball travels in feet" and "f(x) represents the height of the ball in feet."

The question is "The pitcher releases the ball at the highest point in the curve, and the catcher is located at the y-axis. According to the table, how high is the ball when it reaches the catcher?" the underlined words are your clue.

When the graph hit zero, its hit its mark "The catcher" it REACHES the catcher.

so, alas, the answer is 2.5 ft

Answer:

The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.

Step-by-step explanation:

hope this helped:)

brainliest for the brains........................

The Pair Factors of 54 are (1, 54), (2, 27), (3, 18), and (6, 9) and its Prime Factors are 1, 2, 3, 6, 9, 18, 27, 54.

Here, we have,

The factors of 54 are the numbers, that can divide 54 completely or evenly. When a pair of factors are multiplied together to produce the 54, then they are said to be pair factors. The factors divide the number completely. Hence, these factors cannot be a fraction.

Factors of 54: 1,2,3,6,9,18,27 and 54

Factor pairs of the number 54 are the whole numbers which are not a fraction or decimal number.

To find the factors of a number, 54, we will use the factorization method.

To find factors of 54, we have to divide 54 by all natural numbers from 1 to 54.

54 ÷ 1 = 54

54 ÷ 2 = 27

54 ÷ 3 = 18

54 ÷ 6 = 9

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Answer:

angles 2 and 3

Step-by-step explanation:

The question is asking for alternate interior angles, meaning the angles must be between the two parrall lines, but on diffrent sides of the transversal. this leaves only 2 and 3.

The pairs of angles are alternate interior angles ∠2 and ∠3.

The fundamental characteristics listed below make it simple to recognise parallel lines.

Given:

As, we know that one of the property of parallel lines is that the pair of Alternate Interior angle is equal.

Usually alternate interior angles form in 'Z' formation.

So, <6 and <7 and <2 and <3 forms pair of alternate interior angles.

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