The school is having a fundraiser where each rose sold makes $1.25 in profit.
The school has to pay a flat shipping
cost of 50. How many roses must be
sold to earn a profit of $1000?

Answer: It will take about 8.5 years for the balance of the savings account to reach $3827.25.

Step-by-step explanation:

To find the number of years it will take for the balance of the savings account to reach $3827.25, we can set up the following equation:

$3500 * (1 + 0.011 * t) = 3827.25$

We can then solve for t, the number of years, by dividing both sides of the equation by 3500 and then rearranging the terms to get t by itself:

$t = \frac{3827.25 - 3500}{3500 * 0.011}$

Next, we can plug in the given values and solve for t to find the number of years it will take for the balance of the account to reach $3827.25:

$t = \frac{3827.25 - 3500}{3500 * 0.011} = \frac{327.25}{38.5} = 8.5$

Therefore, it will take about 8.5 years for the balance of the savings account to reach $3827.25.

The best answer would be that 2x greater then zero which satisfy the condition.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0, and has vertex at (0,0). The range is from the y-coordinate of the vertex to positive infinity.

If x ≥ 0, then we need to determine the value of x+|x|

Since {x | x < 0} and {x | x > 0} which is no number less than zero and greater than zero at the same time.

Here we need to add that is;

x+|x|  = 2x

Therefore, in conclusion we get that 2x is greater then zero which satisfy the condition.

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Answer:

Below

Step-by-step explanation:

This is your posted line:

4 3/4 = 19 / 4

2 1/3 = 7/3

19/4  * 7/3  =  (19*7) /(4*3) = 133/12  = 11  1/12

BUT the question in the picture shows

2 4/7 * 2/3 =

18/7   * 2/3 =  (18*2) / ( 7*3) = 36/21 = 1  15/21   =    1 5/7

The proportion of all adults go to a health club at least twice a week is 4%.

What is percent?

A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.

Given:

At the gym suppose that 10% of adults belong to health clubs, and 40% of these health club members go to the club at least twice a week.

The proportion of adults who belong to health clubs is 10% that is 0.10.

The proportion of these adults (health club members) go to the club at least twice a week is 40%, that is 0.40.

Hence, the proportion of all adults go to a health club at least twice a week is

0.10 × 0.40 = 0.04, that is 4%

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The required solution to the given inequality is x < 7/4.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Given that,
To determine the simplified solution of the inequality 1/2x−1/4 < 5/8.
1/2x−1/4<5/8 .

Adding 1/4 on both sides of the equality,

1/2x < 5 / 8 + 1 / 4
Multiply by 2 on both sides of equality,
1 / 2x < 7 / 8
x < 7 / 4

So, the solution of inequality lies x greater than 7/4, as of the given conditions.

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The required length of the hypotenuse of the right angle triangle is 23.6 √2.

A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angle is a right angle.

Given that,

The legs of the right and triangle are congruent,

And equal to 23.6 yards.

Implies that,

Base = height = 23.6 yards

To find hypotenuse of the triangle, use Pythagoreans theorem,

(Hypotenuse)² = (Base)² + (Height)²

(Hypotenuse)² = (23.6)² + (23.6)²

(Hypotenuse)² = 2 (23.6)²

Hypotenuse = 23.6 √2

The length of the hypotenuse of the right angle triangle is 23.6 √2.

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The answer can be stated as, " Account X will be worth $ 248 more than account Y after 20 years."

Simple interest can be defined as a form of interest in which the percent rate is applied on the same principal for a given period of time.

The simple interest for account X and account Y can be calculated as follows,

For account X substitute the corresponding values in the expression as,

(P × r × t)/100

= (1800 × 1.8 × 20)/100

= 36 × 18

= 648

Similarly for account Y, interest can be calculated as,

 (P × r × t)/100

= (10000 × 0.2 × 20)/100

= 40000/100

= 400

Thus, the difference between the interests is given as 648 - 400 = 248.

Hence, the account X will be $248 more than account Y.

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The required true statement for [tex]2x^4 -5x^3+10x^2-9=0[/tex] is rational root factor of 9 divided by a factor of 2.

Rational root theorem states that if the equation has rational roots they will be the factors of constant term divided by factors of highest power coefficient.

The Rational Root Theorem states that any rational root of f(x) is a factor of the trailing constant divided by a factor of the leading coefficient.

In this case, a factor of 9 divided by a factor of the number 2.

[tex]2x^4 -5x^3+10x^2-9=0[/tex]

If there are any rational roots, it would be a factor of constant term of 9 divided by a factor of the high-order coefficient of 2.

Hence, The true statement is rational root factor of 9 divided by a factor of 2.

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4 ounces to pounds

1 ounce = 0.0625 pounds

4 ounces * 0.625 pounds = [tex]\fbox{2.5 pounds}[/tex]

Answer:

-13 11/20 = -271/20

Step-by-step explanation:

-4 3/4 - 8 4/5 =

= -4 15/20 - 8 16/20

= -12 31/20

= -13 11/20 = -271/20

The fraction of the area of the octagon that is shaded is [tex]\dfrac{7}{16}[/tex]

A fraction is expressed as a quotient consisting of a numerator, divided by a denominator, and it is used to show the relative amount a part of an item is with regards to the whole item.

An regular octagon can be taken as comprising of eight triangles, that have a base length equal to the length of one of the sides of the octagon, and a height equivalent to the length of the apothem of the octagon, therefore;

The area of the octagon can be obtained from the sum of the area of the eight triangles in the octagon as follows;

The area of the shaded region, comprises of three and a half triangles of the 8 triangles that make up the octagon, such that, we get;

Area of the shaded region = Three and a half of the eight triangles that form the octagon

The fraction of the area of the octagon, represented by the area of the shaded region is therefore;

Fraction of the octagon shaded = [tex]\dfrac{3.5 \times Area \, of \, triangle \ \Delta BOC}{8 \times Area \, of\, triangle \, \Delta BOC} = \dfrac{3.5}{8}[/tex]

[tex]\dfrac{3.5}{8} =\dfrac{7}{16}[/tex]

A possible part of the question obtained from a similar online question includes to find the fraction of the octagon represented by the shaded region

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The row of Pascal's triangle required for the binomial expansion is: 1 7 21 35 35 21 7 1

Pascal's triangle is a principle that can be used to expand a given bracket to any given power by the process termed binomial expansion. It can be used to expand brackets to a power starting from zero; but majorly applied when the power is greater than 3.

Now considering the given question, for the binomial expansion of (2x^3+3y^2)^7, the required terms of expansion using Pascal's triangle is:

1 7 21 35 35 21 7 1.

So that the binomial expansion would give;

128x^21 + 1344x^18y^2 + 6048 x^15y^4 + 15120x^12y^6 + 22680x^9y^8 + 20412x^6y^10 + 10206x^3y^12 + 2187y^14

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The r value for the linear model is closest to 1.

We have two columns in this question, one for you to enter the time and the other for the distance. We must determine whether the relationship is exponential or linear.

I'll start by explaining the differences between linear and exponential relationships, after which we'll observe the data and find the answer, which is as follows:

linear, as the linear model's r value, is the closest to 1.

exponential and linear data

It is linear if close numbers are assumed for the absolute value of the change.

If so, the rate is exponential.

Data:

t = 1 -> d = 530

t = 2 -> d = 1050

t = 3 -> d = 1600

t = 4 -> d = 2110

t = 5 -> d = 2650

Subtractions:

2650 - 2110 = 540

2110 - 1600 = 510

1600 - 1050 = 550

1050 - 530 = 520

Divisions(rates):

2650/2110 = 1.25

2110/1600 = 1.32

1600/1050 = 1.52

1050/530 = 1.98

The rates change considerably more than the subtractions, so it is a linear relationship, and the correct option is: linear because the r value for the linear model is closest to 1.

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Answer:

11z

Step-by-step explanation:

7z+(-6z)= 1z or z

1z + 10z = 11z

The length of DE from the given triangle ABC is 9. Therefore, option C is the correct answer.

The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the length of the third side.

In the given triangle ABC, AD=DB

Here, D is the midpoint on AB so AD:DB=1:1

Now, DE=BC/2

=18/2

=9

Therefore, the length of DE is 9.

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Margarite must deposit $3174 as the principal in her account.

The addition of interest to the principal of a loan or deposit is known as compound interest, sometimes known as interest on principal and interest. It occurs when interest is reinvested, added to the lent capital instead of being paid out, or the borrower is required to pay it, resulting in the next period's interest being generated on the principal amount plus any accumulated interest. Finance and economics both use compound interest frequently.

In contrast to simple interest, which does not compound since past interest is not added to the current period's principal, compound interest allows for the accumulation of interest from prior periods.

As given:

42000 dollars are required for the journey to Japan.

Let P be the account's principal deposit.

Interest rates are 3.5% each day, compounded.

The duration is 8 years.

4200=P(1+(3.5/365×100))³⁶⁵⁽⁸⁾

4200=P(1.00009589)²⁹²⁰

4200=P×1.323110

P=4200/1.323110

P=3174.33

≈P=$3174

Therefore, Margarite must deposit $3174 as the principal in her account.

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It is true that statistical sampling uses Monte Carlo simulation, where a greater number of trials are employed to obtain a precise answer.

A mathematical method or statistical sampling called Monte Carlo simulation is used to forecast all potential outcomes of any unknown event.

As it relies on historical data to forecast future results, the accuracy increases with the number of trials.

You can review more old data to anticipate the first month's sales of any newly launched product, for instance.

It aids in more precise probability calculations.

As a result, more trials are necessary for an accurate result in Monte Carlo simulation statistical sampling.

Therefore, it is true that statistical sampling uses Monte Carlo simulation, where a greater number of trials are employed to obtain a precise answer.

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All the individuals who have recently broken up with a significant other is the population in this study answer to this question.

The study of statistics includes the collection, examination, analysis, and interpretation of data as well as methods for doing so. Statistics can be divided into two main categories: descriptive statistics and inferential statistics.

given,

Yael examined the texts, emails, and social media posts of 32 people who had recently split up with their partners. Her results are published in the Almanac of Doubtful Statistics.

People who just broke up with a significant other who have pledged to return to that in a moment on social media, cell phone, or internet service providers.

Keep in mind that this is about the users, not the providers, and is being done for social and behavioral science study.

All the individuals who have recently broken up with a significant other is the answer to this question.

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Answer:

-------------------------

1 and 2 are less than 3 and it is out of possible 5.

The probability of less than 3 is:

It has two equal sides and the probability of any is:

Total outcome of both events is:

The matching choice is D.

The number of bananas are 6 and the number of peaches are 4.

What is system of equations?

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.

Given:

Hua and her children went into a grocery store and she bought $9

worth of bananas and peaches.

Each banana costs $0.50 and each

peach costs $1.50. She bought a total of 10 bananas and peaches altogether.

Let

B = number of bananas

P = number of peaches

0.5 * B = cost of number of bananas purchased

1.5 * P = cost of number of peaches purchased

So,

B + P = 10                 ..(1)

0.5B + 1.5P = 9         ..(2)

From equation (1),

B = 10 - P        ..(3)

Plug value of B in equation (2),

0.5(10 - P) + 1.5P = 9

5 - 0.5P + 1.5P = 9

5 + P = 9

P = 4

Plug P = 4 in equation (3)

B = 10 - 4

B = 6

Hence, the number of bananas are 6 and the number of peaches are 4.

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By using the formula for time period of a pendulum, it can be calculated that

Length of the pendulum is 72.324 feet

What is time period of a pendulum?

The time taken by a pendulum to complete one oscillation is called the time period of a pendulum.

If l is the length of the pendulum, g is the acceleration due to gravity, then time period of the pendulum is calculated by the formula

[tex]T = 2\pi \sqrt{\frac{l}{g}}}[/tex]

Here,

Time period = 9.42 seconds

g = 9.8 [tex]m/s^2[/tex]

[tex]T = 2\pi \sqrt{\frac{l}{g}}}[/tex]

[tex]9.42 = 2 \times 3.14 \sqrt{\frac{l}{9.8}}\\\\\frac{9.42}{2 \times 3.14} = \sqrt{\frac{l}{9.8}}\\\\\sqrt{\frac{l}{9.8}} = 1.5\\\\\frac{l}{9.8} = 1.5^2\\\\l = 2.25 \times 9.8\\\\[/tex]

l = 22.05 m

l = 22.05 [tex]\times[/tex] 3.28 feet

l = 72.324 feet

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A data display showing the number of children per household in the US is strongly skewed right. The mean. number of children per household is 3. the possible value for the median are

Data that produces an uneven, skewed curve on a graph is referred to as skewed data. In statistics, a data set with a normal distribution has a bell-shaped, symmetrical graph. The "tail" of skewed data, however, is on either side of the graph.

Outliers that do not affect the median but have an impact on the mean. As a result,

The problem has it that the data is skewed to the right hence the mean is  higher than the median. if the mean is 3 the median should be numbers less than the mean which are 0, 1, 2

0 is not included in the answer as 0 is not a possible value in this case.

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Answer:

The answer is 0,1,2

Step-by-step explanation:

A data display showing the number of children per household in the US is strongly skewed right. The mean. number of children per household is 3. What is a possible value for the

median?

Answer:

there are 22 boys and 40 girls

Answer:  this triangle is isosceles

Step-by-step explanation:

A(2,3)    B(6,3)    C(2,7)

[tex]AB=\sqrt{(6-2)^2+(3-3)^2} \\\\AB=\sqrt{4^2+0^2}\\\\ AB=\sqrt{4^2} \\\\AB=4\ units[/tex]

[tex]BC=\sqrt{(2-6)^2+(7-3)^2} \\\\BC=\sqrt{(-4 )^2+(7-3)^2}\\\\BC=\sqrt{16+4^2}\\\\BC=\sqrt{16+16} \\\\BC=\sqrt{32} \\\\BC=4\sqrt{2} \ units\\\\[/tex]

[tex]AC=\sqrt{(2-2)^2+(7-3)^2} \\\\AC=\sqrt{0^2+4^2} \\\\AC=\sqrt{4^2} \\\\AC=4\ units[/tex]

Hence, AB=AC

Thus, this triangle is isosceles

Answer:

Step-by-step explanation:

it is 75 and a half

Slope and a point that is not an intercept is the information about the graph of the relationship is given.

The Painting rate = 8 m²/h

Room area left to paint after 3 hours = 28 square meters . Let y be the area left to paint after x hours in square meters. To describe a point on a graph, we need a corresponding (x,y) pair. In our case , we need information about the rate of change of the relationship between the area left to paint and after the hours. Painting speed of Hiro is 8 square meters per hour. So, the corresponding slope is 8 or equation , Y = 8x --(1)

Y = 28 square meters, substituting this value into the above formula 28 = 8X

=> X = 7/2

which is the point (7/2, 28 ) and not an intercept.

In other words, the point that is not the intersection with the slope.

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Complete question:

Hiro painted his room. After 3 hours of painting at a rate of 8 square meters per hour, he had 28 square meters left to paint. Let y represent the area (in square meters) left to paint after x hours.

Which of the following information about the graph of the relationship is given?

a)Slope and x-intercept

b) Slope and y-intercept

c)X-intercept and y-intercept

d) Y-intercept and a point that is not an intercept

e)Two points that are not intercepts

f)Slope and a point that is not an intercept

To find the mean of 15 numbers, add up all of the numbers and then divide by 15. The result will be the mean of the 15 numbers.

1. Add up all the numbers

2. Divide the sum by 15

3. The result will be the mean of the 15 numbers

To calculate the mean of 15 numbers, begin by collecting all the values in the group. Sum up the values in the group by adding each number together. Once the sum is calculated, divide the sum by 15. This number will be the average of the 15 numbers. To check the accuracy of the answer, add up the 15 numbers again and divide the result by 15.

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Please find attached the graph of the linear equation for the total cost of transportation of sugar created with MS Excel is attached.

A graph is a pictorial representation of the relationship between the variables in an equation.

The amount it costs to rent the truck =  $5000

The amount it cost to transport a ton  of sugar = $200

The amount of sugar transported in tons = S

The equation for the total cost C is; C = 5000 + 200·s

The graph of the equation for the cost of transportation  can be created with a spreadsheet application such as MS Excel, by entering the formula, = 5000 + 200*RefCell, in a cell and the value of S in an adjacent cell, the values for S are then populated and the values of C are generated using the formula in the cell

The two columns are then selected

Then the insert, Chart menu is then used to create the graph.

Please find attached the required graph created with MS Excel

The  graph for the total cost for the transportation is therefore a straight line graph with a slope of 200 and a y-intercept of 5,000,

The

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kylie noticed that her golden retriever puppy has gained 30% more weight than her Labrador puppy. when she first got the dogs, they both weighed 20 lbs , but the retriever now weighs 46 lbs. Now, the Labrador weigh is between 35 - 45 lbs.

We know that at 8 months the weight of golden retriever is 45 - 55 lbs and the weight of Labrador is 35 - 45 lbs.

Despite being cousins ​​of Retrievers, Labs and Goldens come from different parts of the world. Labrador Retrievers originate from the island of Newfoundland in the easternmost province of Labrador in Canada. Interestingly, he actually exists three different types of Golden He Retriever, each from England, America and Canada.

Seeing these dogs, especially yellow or golden labs and golden retrievers cuddled up, there is a slight sporting resemblance to the canine family, but there are also important points that help distinguish them. I have.

One of the differences between Golden Retrievers and Labrador Retrievers is the shape of the muzzle. The nose is still bookable on both!

Both retrievers are double coated breeds, so blow dry them at least twice a year. But if there were any discarded medals, Myers says there is a clear winner. 's smoother coat helps them glide through the water more easily.

But if you've read this far, you already know. However, there is a mixed breed known as the Gladder that has both Golden and Labrador Retriever parents, so the pretty yellow color can come from either.

That's why Myers says the good guys in the lab keep the coffee table bare. Its paddle-like tail is strong because it provides the driving force for swimming! Golden retrievers usually have fan-shaped tails.

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