Your computer supply store sells two types of inkjet printers. The first, type A, costs $241 and you make a $25 profit on each one. The second, type B, costs $103 and you make an $11 profit on each one. You can order no more than 140 printers this month, and you need to make at least $2660 profit on them. If you must order at least one of each type of printer, how many of each type of printer should you order if you want to minimize your cost?

Answer:

B for first one.

75 for second.

Hope this helps !

Step-by-step explanation:

The 68% confidence interval for the proportion of high school students who took a Grab-and-Go lunch is between 0.14 and 0.24.

What is confidence interval ?

A confidence interval is a statistical range that provides an estimate of the likely range of values for a population parameter (such as a mean, proportion, or standard deviation) based on a sample of data. It is calculated using a specific level of confidence, which represents the probability that the true population parameter falls within the calculated range.

Confidence intervals are typically expressed as a range of values with a margin of error or standard error. The margin of error represents the amount of random variation that is expected due to sampling error, while the standard error reflects the variability of the sample data.

According to the question:
To calculate the 68% confidence interval for the proportion of high school students who took a Grab-and-Go lunch, we can use the following formula:

\(p \± z\sqrt{pq/n}\)

where:

p = proportion of students who took a Grab-and-Go lunch (p-hat)

q = proportion of students who did not take a Grab-and-Go lunch (1 - p-hat)

n = sample size (number of "Green Day" students)

z = z-score for the desired level of confidence (68%, in this case)

We can calculate the values as follows:

p-hat = 75/400 = 0.1875

q = 1 - 0.1875 = 0.8125

n = 400

z = 0.9945 (from standard normal distribution table or calculator)

Plugging these values into the formula, we get:

0.1875 ± 0.049

Rounding to the second decimal place in "0.00" format, we get:

0.19 ± 0.05

Therefore, the 68% confidence interval for the proportion of high school students who took a Grab-and-Go lunch is between 0.14 and 0.24.

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During the morning rush hour, there are 6,400 junior and high school students, 3,400 adults, and 5,800 senior citizens riding the subway.

Let's assume the number of junior and high school students riding the subway during the morning rush hour is J, the number of adults is A, and the number of senior citizens is S.

From the given information, we can set up a system of equations based on the number of riders and the revenue generated.

Equation 1: J + A + S = 15,600 (total number of riders)

Equation 2: 1.04J + 2.20A + 1.04S = 32,464 (revenue equation with original ticket prices)

Equation 3: 1.24J + 2.60A + 1.04S = 38,264 (revenue equation with new ticket prices)

We can start by subtracting Equation 2 from Equation 3 to eliminate the J and S terms:

0.2J + 0.4A = 3,800

Next, we can multiply Equation 1 by 0.2 and subtract it from the above equation to eliminate the J term:

0.4A - 0.2J - 0.2A = 3,800 - 3,120

0.2A = 680

A = 680 / 0.2 = 3,400

Now, we can substitute the value of A back into Equation 1 to find the values of J and S:

J + 3,400 + S = 15,600

J + S = 15,600 - 3,400

J + S = 12,200

We have two equations with two variables (J + S = 12,200 and 1.04J + 1.04S = 12,264). By solving these equations simultaneously, we find J = 6,400 and S = 5,800.

Therefore, during the morning rush hour, there are 6,400 junior and high school students, 3,400 adults, and 5,800 senior citizens riding the subway.

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To find the number of subway riders in each category, we set up a system of equations based on the total number of passengers and the total revenue. Solving this system will give us the number of junior and high school students, adults, and senior citizens. The number of riders doesn't change with the increase of ticket prices.

To solve this problem, we set up a system of equations based on the information given in the question.

Let's denote the number of junior and high school students as J, adults as A, and senior citizens as S. We know that there's total of 15,600 passengers, so:

J + A + S = 15,600

We also know that the total revenue was $32,464. Given the ticket prices for each group, we can write:

$1.04J + $2.20A + $1.04S = $32,464

Solving this system of equations (possibly with the help of a calculator or computer software), we can find the number of riders in each category.

The number of riders for each category would only change if the number of riders changes, not the price of the tickets, so when the prices increase, the number of riders remains the same.

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The present value is $804.84.

The term "present value" refers to the current value of an amount that will be charged with compound interest in the future. With the information provided, the present value can be estimated as follows:

PV= FV x 1/ \((1+r)^n\)

Given:

FV= $400

T= 12 years

r= 6

Now,

PV = 400 x 1/ \((1+0.06)^{12\)

PV = 400 x \(1.06^{12\)

PV = 400 x 2.0121

PV= 804.84

Hence, the present value is $804.84.

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Answer:

18.7

Step-by-step explanation:

110 % = 1.1

17 x 1.1 = 18.7

ALSO:

percentages are reversible which means that you can also do 17% of 110 which makes it seem more normal.

17% of 110 is also 18.7

Answer: Heyaa! ^

18.7 is 110% of 17 ~ Making your answer be 18.7

Step-by-step explanation:

Evaulte the problem..

Hopefully this helps you! ~

since each ounce of whole mi contains twice as many calories as an ounce of skim milk, we have that W=2S where W repreents the number of calories in an ounce of whole milk and S represents the number of calories in an ounce of skim milk.

we can write the statement in the following inequality}

Then

and since W=2S

And

The final inequaities are:

and

The volume of the solid whose base is a triangle with vertices (0,0), (0,3), and (5,0) is 25π/12 cubic units.

What is a triangle?

A triangle is a closed geometric shape that is formed by connecting three line segments. These line segments are called sides, and the points where they meet are called vertices. A triangle has three sides, three angles, and three vertices.

To start, let's graph the triangle to get a better understanding of the problem:

(0,3)   *

       |\

       | \

       |  \

       |   \

       |    \

(0,0)   *-----*-----> x

        (5,0)

The height of this slice is given by the line from the point (x,0) to the point (0,3), which has equation y = 3/5 * x + 0. The radius of the semicircle is half the height of the slice, which is given by the equation r = 3/10 * x.

The area of a semicircle is πr²/2, so the volume of this slice is:

V(x) = π * (3/10 * x)² / 2 * dx

To find the total volume of the solid, we need to integrate this expression over the range of x values that covers the entire base of the solid, which is from x=0 to x=5:

V = ∫₀₅ π * (3/10 * x)² / 2 dx

V = π/20 * ∫₀₅ x² dx

V = π/20 * [x³/3] from 0 to 5

V = π/20 * (5³/3)

V = π/4 * (25/3)

V = 25π/12

Therefore, the volume of the solid is 25π/12 cubic units.

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Answer:

BC < AB < AC

Step-by-step explanation:

To evaluate the side lengths we first need to find the angle measures:

the sum of interior angle in a triangle is equal to 180

5x + 50 + 7x + 8 + 10x = 180 add like terms

22x + 48 = 180 subtract 48 from both sides

22x = 132 divide both sides by 22

x = 6

now the angle measure are

A = 50

B = 70

C = 60

The longest side is the one that sees the biggest angle so AC is the longest and BC is the shortest side length therefore we can list them from shortest to longest as follows :

BC < AB < AC

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

Answer:

A=13.47 in.

P=14.68 in.

Step-by-step explanation:

First, we have to figure out the sides of square ABCD. The diagonal forms the hypotenuse of a right equilateral triangle.

a²+a²=6²

2a²=36

a²=18

a=√18

a=4.24

Half of 4.24 would be the distance From each corner of ABCD to the neighboring midpoints.  (2.12)

2.12²+2.12²=c²

4.49+4.49=c²

13.48=c²

√13.48=c

3.67=c

Now that we know each side of the shaded square, we can get the area and perimeter.

A=3.67x3.67=13.47

P=3.67x4=14.68

An arithmetic progression is a set of numbers with a fixed difference between any two succeeding numbers (A.P.). Examples of A.P. include 3, 6, 9, 12, 15, 18, and 21.

A.P. and G.P. application: A series of terms known as an arithmetic progression (AP) have identical differences. In a geometric progression (GP), the common ratio is multiplied by the previous term to produce each succeeding term.

Given,

a₁ = x

a₂ = 2x + 1

a₃ = 11

a₂ - a₁ = a₃- a₂

(2x + 1) - (x) = 11 - (2x + 1)

2x - x + 1 = 11 - 2x - 1

x + 1 = -2x + 10

2x + x = 10 - 1

3x/3 = 9/3

x = 3  

The arithmetic sequence:  3, 7, 11

Common difference: 4

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Answer:

The correct answer is the last option (d.)

Step-by-step explanation

Answer:

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

Step-by-step explanation:

The null hypothesis is:

\(H_{0} = 28\)

The alternate hypotesis is:

\(H_{1} < 28\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to find another position.

This means that \(n = 50, X = 26\)

Assume the population standard deviation is 6.2 weeks.

This means that \(\sigma = 6.2\)

Does the data provide sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

We have to find the pvalue of Z, looking at the z-table, when \(\mu = 28\). It if is lower than 0.05, it provides evidence.

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{26 - 28}{\frac{6.2}{\sqrt{50}}}\)

\(z = -2.28\)

\(z = -2.28\) has a pvalue of 0.0113 < 0.05.

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

Here u go the answer is 35 b

The x-intercepts of the given equation 4x^2-12x+4 is -3/2

What is Quadratic equation ?

Quadratic equation can be defined as the equation in which it is in the form of ax^2+bx+c = 0

where c is a constant.

Given equation ,

y = 4x^2+12x+4

so we have to find the x-intercept , make y = 0

and we have to solve for the given quadratic equation

so,

we get

4x^2+12x+4 = 0

(2x)^2 + 9 + 12x = 0

(2x+3)^2 = 0

x = -3/2

There is double root unique intercept or tangent at  x  = -3/2

Therefore, The x-intercepts of the given equation 4x^2-12x+4 is -3/2

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Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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Answer:

0.7283  written

in scientific is: 7.283×10^-1

Step-by-step explanation:

thats what i think but i'm not sure, hope you got it right sweetie!

Answer:

in scientific notation is 7.283×10^-1

Answer:

see explanation

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a hexagon has 6 sides , then

sum = 180° × (6 - 2) = 180° × 4 = 720°

12

the polygon has 5 sides , so

sum = 180° × (5 - 2) = 180° × 3 = 540°

sum the interior angles and equate to 540

y + 90 + 120 + 90 + 110 = 540

y + 410 = 540 ( subtract 410 from both sides )

y = 130

13

the polygon has 7 sides , so

sum = 180° × (7 - 2) = 180° × 5 = 900°

sum the interior angles and equate to 900

p + 90 + 141 + 130 + 136 + 123 + 140 = 900

p + 760 = 900 ( subtract 760 from both sides )

p = 140

Answer:

  (c)

Step-by-step explanation:

You want the graph that has a domain of x ≥ 5.

The domain of a function is the set of x-values for which the function is defined. A domain of x ≥ 5 means the function is defined for x-values at least 5. The graph of the function will extend from x=5 indefinitely to the right.

Graph C is like that.

Answer:

17

Step-by-step explanation:

h(17) is falling under the top condition of:

So the answer is:

Answer:

0-27

Step-by-step explanation:

The range of a function is representative of the values on the y-axis. In this case, the graph will contain distance on the y-axis at is the dependent variable, while the independent variable is time.

We know that the minimum value of the distance will be 0, given that there can be no negative distance. Moreover, the maximum value is 26.2 miles, since the marathon will then be over. Therefore, a good range for the situation will be 0-27 miles.

I hope this helps. I am sorry if you get this wrong.

Answer:

D. \(10^{\circ}\)

Step-by-step explanation:

Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).

Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).

By the inscribed angle theorem, \(\alpha=84^{\circ}\).

Thus, \(\beta=20^{\circ}\).

By the inscribed angle theorem, \(x=10^{\circ}\).

Answer:

I can't please the question is sooo hard but can you give steps

The distance between point T (-5, 1) and point I (-1, 1) is 4 units.

To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:

Distance = √((x2 - x1)² + (y2 - y1)²)

Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):

x1 = -5, y1 = 1 (coordinates of point T)

x2 = -1, y2 = 1 (coordinates of point I)

Plugging these values into the formula, we have:

Distance = √((-1 - (-5))² + (1 - 1)²)

        = √(4² + 0²)

        = √(16 + 0)

        = √16

        = 4

Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.

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Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.

Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.

There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.

I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.

According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.

~~~Harsha~~~

hope that helps !

Answer:

0.04411764705

Step-by-step explanation:

Answer:

0.04411764705 is the correct answer ┌(・。・)┘♪

Factions

We are given the following operation:

It's required to express the result as a mixed fraction in the form a b/c

Operating:

This result can be written as:

Thus a=1, b=3, and c=4

The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:

Write the dividend and divisor in polynomial long division format:

_________________________

x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...

Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).

Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).

Subtract the result obtained in step 3 from the original dividend:

x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...

Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.

Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.

-3x^(2n-2) + 0x^(2n-3) + ... = -80

Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.

This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:

2n-2 = 0

2n = 2

n = 1

Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.

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