help please it's for today
2. In this institute, 150 students are in 1st year of ESO; 148, 2nd of ESO; 73, 3rd of ESO; 60, 4th of ESO; 150, high school and 204, training cycles. What percentage of students do cycles?
3. A merchant gives a clearance discount of 20% on all items. Indicate what the prices of the following items will be:
a) Skirt: €40
b) Jacket: €55
c) Pants: €35
d) Sweater: €28
4. I want to buy a 60 horsepower Seat Ibiza that costs €12,400. If I get a 15% dealer discount, how much will I pay for the car?
5. The price of a television has risen by 25% compared to last year. What is the current price if last year it was €510.80?
6. The Netflix connection is €17.25, we get a 20% discount. How much will the connection cost us?
7. A family buys a refrigerator that costs €840. Pay 30% in cash and the rest in 6 monthly installments. What is the amount of each term?
8. I paid €48 for a video game that cost €60. What percentage have I been discounted?
9. A car cost €12,000 at the beginning of the year. The Central Government gives a subsidy to buyers of €3000 for the old car, if it is more than 10 years old. How much will the car cost with the bonus and what % will we save?
10. What interest does a capital of €3000 produce at 4.5% per annum over 5 years?
11. What is the capital that a bank will return to us after 6 months to deposit €3700 at 7.5% per annum?

Answer:

The nth term of an arithmetic sequence is given by an = a + (n – 1)d ... Step 1: First, calculate the difference between each pair of adjacent terms.

Step-by-step explanation:

Hope this help's you

In a parallelogram, opposite sides are equal. Therefore, AB = CD.

5x * 3 = 15 * x

15x = 15

x = 1

Therefore, the value of x is 1.

To find the area of parallelogram ABCD, we can use the formula A = base x height, where the base is the length of side AB and the height is the perpendicular distance between side AB and the opposite side CD. Since the height of parallelogram ABCD is given as 6, we need to find the length of side AB.

From the given information, we know that AB = 5x * 3, where x = 1. Therefore, AB = 15. Now we can calculate the area of parallelogram ABCD as:

A = base x height

A = 15 x 6

A = 90 square units

Therefore, the area of parallelogram ABCD is 90 square units.

To know more about Parallelogram visit:

https://brainly.com/question/1563728

#SPJ1

Answer:

A(t) = 9000(1 + 0.036/12)^12t

[Function formula for the compound interest]

A = 9000(1 + 0.036/12)^12t

[General formula for the compound interest]

A(1) ≈ 9329.40 $

[Compound interest over 1 year]

Step-by-step explanation:

Compound interest formula:

A = P(1 + r/n)^nt.

P is the principal or starting amount.

r is the interest rate.

n is the number of times compounded per year.

t is the period of time.

Given P is 9000, r is 3.6% or 0.036, n is 12 or monthly, and t is variable.

The following function represents the relationship over time:

A(t) = 9000(1 + 0.036/12)^12t

The total cost of haircuts for Michael's three children, including tip, would be $207.00.

If Michael gave a 20% tip and the haircuts cost $57.50, the tip would be:

Tip = 0.20 * $57.50 = $11.50

The total cost of the haircuts, including the tip, is as follows:

Total cost = haircut cost + tip

The total cost is $57.50 + $11.50.

The total cost is $69.00.

Since Michael took his three children to get haircuts, the total cost for all three children, including tip, would be:

Total cost for three children = three times the total cost

Total cost for three children = three times $69.00

The total cost for three children is $207.00.

As a result, the total cost of haircuts for Michael's three children, including tip, would be $207.00.

To learn more about cost.

https://brainly.com/question/19075809

#SPJ4

Answer: Change x to a number, and that number + 1 will be y

Step-by-step explanation: the reason for this is simple, change the independent variable, which is always in the problem, and you can figure out the dependent variable.

Answer:

X +1

Step-by-step explanation:

the graph is x +1.....

Answer:

The system of equation is y=12x+5

Step-by-step explanation:

The fourth term in the sequence is:

f(4) = -76

Here we have a sequence where we know the first term:

f(1) = 8

And the recursive formula is:

f(n) = -2*f(n - 1) - 4

Using the recursive formula we can get the next terms:

f(2)  = -2*f(2 - 1) - 4

      = -2*f(1) - 4 = -2*8 - 4 = -20

f(3) = -2*f(3 - 1) - 4

      = -2*-20 - 4 = 40 - 4 = 36

f(4) = -2*f(4 - 1) - 4

     = -2*36 - 4 = -76

That is the value of the fourth term.

Learn more about sequences at:

https://brainly.com/question/6561461

#SPJ1

The area of the shaded region is given as follows:

0.0475.

The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for the IQ scores are given as follows:

[tex]\mu = 100, \sigma = 15[/tex]

The shaded region is the area to the right of 125, hence it's area is one subtracted by the p-value of Z when X = 125, hence:

Z = (125 - 100)/15

Z = 1.67

Z = 1.67 has a p-value of 0.9525.

Hence:

1 - 0.9525 = 0.0475.

The shaded region is the area to the right of 125.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

A triangular fence having dimensions 2x + 3, y − 6, and 4x − 3, has a perimeter of Option D: 6x + y - 6 feet.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

A triangular fence has measurements -

a = (2x + 3) feet

b = (y - 6) feet

c = (4x - 3) feet

The formula for perimeter of a triangle is -

Perimeter = sum of all three sides

So the equation will be -

Perimeter = a + b + c

Substitute the values in the equation -

Perimeter = (2x + 3) + (y - 6) + (4x - 3)

Perimeter = 2x + 3 + y - 6 + 4x - 3

Perimeter = 6x + y - 6

Therefore, the value for perimeter is 6x + y - 6 feet.

To learn more about triangles from the given link

https://brainly.com/question/25215131

#SPJ1

The probability that a randomly selected US teenager has either read Harry Potter and the Half Blood Prince or seen the movie is 84%.

To create a Venn diagram for this situation, you would need two circles that overlap in the middle. One circle would represent the 48% of teenagers who read the book, and the other circle would represent the 58% of teenagers who saw the movie. The overlap between the two circles would represent the 22% of teenagers who both read the book and saw the movie.

            +-----------------------------------------+

            |                                                 |

            |                    Read                    |

            |                   48% (R)                 |

            |                                                 |

            +--------------------+-------------------+

            |                         |                       |

            |                         |                       |

            |                         |                       |

            |    Both (B∩R)   |   Movie (M)   |

            |     22% (B)        |   58% (M)      |

            |                          |                      |

            |                          |                      |

            |                          |                      |

            +---------------------+------------------+

                              Not Read

                            30% (N∩M)

Here, R represents the event of reading the book, M represents the event of watching the movie, and B represents the event of both reading the book and watching the movie. The numbers in parentheses represent the percentage of US teenagers in each event. The area of each circle represents the total number of US teenagers.

To find the probability that a randomly selected US teenager has either read the book or seen the movie, you need to find the total area of the two circles (the 48% who read the book plus the 58% who saw the movie) and subtract the overlap (the 22% who both read the book and saw the movie). This gives you:

P(read or saw) = 48% + 58% - 22% = 84%

So the probability that a randomly selected US teenager has either read Harry Potter and the Half Blood Prince or seen the movie is 84%.

Learn more about Venn diagram here: brainly.com/question/29301560

#SPJ4

Newington's budget in the "previous year" is $119.2 million

The term "budget" refers to a financial plan for a given period that outlines expected expenses and revenues. The previous year's budget for Newington is the financial plan that the town had for the previous fiscal year.

Assuming the previous year's budget refers to the fiscal year that ended just before the current fiscal year, we can find the amount by looking at the town's financial statements for that period. These statements will show the town's revenues and expenses for that fiscal year, and the difference between the two will be the budget.

If the town had $100 million in revenues and $95 million in expenses in the previous fiscal year, then the budget for that year would be $5 million. This means that the proposed $124.2 million budget for the upcoming year is a 4.7% increase from the $119.2 million budget of the previous year.

To know more about budget here.

https://brainly.com/question/15683430

#SPJ4

Answer:

Step-by-step explanation:

The formula to calculate the future value of an investment with compounded interest is:

Future value = Principal * (1 + rate/compoundings per year)^(number of years * compoundings per year)

In this case, the principal is $10,000, the interest rate is 2.5%, compounded annually, and the number of years is 20. So, the future value can be calculated as follows:

Future value = $10,000 * (1 + 2.5%/1)^(20 * 1)

Future value = $10,000 * (1.025)^20

Future value = $10,000 * 1.62897526

Future value = $16,289.75

Therefore, $10,000 deposited in an account earning 2.5% interest compounded annually would be worth $16,289.75 in 20 years.

The new position of minute hand if it starts from 1 and turns 210°  will be at the 40 minutes mark on the clock face.

The minute hand of a clock completes a full rotation every 60 minutes, or 360°. This means that each minute on the clock face corresponds to an angle of 6 degrees. (360 divided by 60 minutes). If the minute hand starts from the 1 and turns 210 degrees, we can calculate the number of minutes it has moved by dividing 210 by 6, which gives us 35. Therefore, the new position of the minute hand will be 35 minute mark on the clock face. However, since the minute hand started at the 1, we need to add 5 minutes in the final answer.

To learn more about minute hand click here

brainly.com/question/10710497

#SPJ4

Answer: 240 Grams.

Step-by-step explanation: First I need to find how many grams each bat eats, then multiply the 48 bats by each gram the bats eat. And you would get 240!

Answer:

The new price is $100.

Step-by-step explanation:

20% of $125 = 0.2 × 125 = $25

New price = Regular price - Discount

New Price = $125 - $25 = $100

The percent of sales tax that has been applied to the item is 5%.

A sales tax is a consumption tax imposed on the sale of items. It is often applied to the selling price of an item.

Here, the original cost is $90 and the final cost is $94.5.

Let, the sales tax rate is r%.

Calculate the percentage of sales tax.

Final price after sales tax = Selling Price×(1 + Rate of sales tax/100)

94.5 = 90(1+r/100)

94.5 = 90 + 0.9r

0.9r = 4.5

r = 5

Therefore, the obtained answer is 5%.

To learn more about the sales tax visit this link

https://brainly.com/question/29442509

#SPJ9

An equation of the line of best fit for the data is y = -0.9x + 13.6.

The correlation coefficient (r) for the data to the nearest thousandth is -0.964.

In order to determine a linear equation in slope-intercept form for the line of best fit that models the data points described above, we would use a scatter plot (graphing calculator).

On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the data set, a linear equation for the line of best fit is given by:

y = -0.895x + 13.600.

Rounding up as required, we have:

y = -0.9x + 13.6.

Read more on scatter plot here: brainly.com/question/28605735

#SPJ1

Complete Question:

Use a graphing calculator to find an equation of the line of best fit for the data in the table. Round the slope and y-intercept to the nearest tenth. Then Identify and interpret the correlation coefficient.

X- 10.1 9.8 9.7 9.4 8.9 8.7 8.4 8.1

Y- 4.3 4.8 5.3 5.2 5.6 5.8 6.1 6.3

The equation of the line of best fit is y=

To the nearest thousandth, the correlation coefficient is r=

The standard deviation of the sampling distribution of x bar (the mean of a sample) is always less than the standard deviation of the population from which it is sampled.

Central Limit Theorem states that as the sample size increases, the sampling distribution of x bar approaches a normal distribution with a mean equal to the population's mean and a standard deviation equal to the population's standard deviation divided by the square root of the sample size.

Standard deviation of the sampling distribution of x = σ / √N,

where:

σ  = standard deviation of the population

N = sample size

As a result, the standard deviation of the sampling distribution of x bar is also less variable than the standard deviation of the population.  

To learn more about sampling distribution, click here: https://brainly.com/question/29368683

#SPJ11

The perimeter of the given rectangle is option (b) 2x + 2y + 14.

Perimeter is a mathematical term used to describe the distance around the boundary of a two-dimensional shape.

In this case, we are given a rectangle with a length of x+8 and a width of y-1, and we are asked to find its perimeter, p.

To find the perimeter of a rectangle, we need to add up the lengths of all four sides. In a rectangle, opposite sides are equal in length, so we can simplify the calculation by multiplying the sum of the length and width by two. This gives us the formula:

perimeter = 2(length + width)

Substituting the given values for the length and width of our rectangle, we get:

p = 2(x+8 + y-1)

p = 2(x+y+7)

Simplifying further, we get the answer:

p = 2x + 2y + 14

Therefore, the correct option is (b).

To know more about perimeter here.

https://brainly.com/question/6465134

#SPJ4

Complete Question:

What is the perimeter, p, of a rectangle that has a length of x + 8 and a width of y − 1?

a) p = 2x + 2y + 18

b) p = 2x + 2y + 14

c) p = x + y − 9

d) p = x + y + 7

Work Shown:

24 min : 1 hour

24 min : 60 min

24 : 60

24/12 : 60/12

2 : 5

The ratio of 24 minutes to 1 hour is 2 : 5

A ratio compares values. A ratio says how much of one thing there is compared to another thing. even though there are more squares. The trick with ratios is to always multiply or divide the numbers by the same value. Example: A Recipe for pancakes uses 3 cups of flour and 2 cups of milk.

Solution:

Find the ratio of 24 to 1 hour = 60 minutes:

[tex]= > Ratio = \frac{24}{60} \\\\\\= > Ratio =\frac{2}{5} \\\\= > \boxed{Ratio =\bold{2:5}}[/tex]

Hence, the ratio of 24 minutes to 1 hour is 2 : 5.

Learn more about ratio here: https://brainly.com/question/13724112

#SPJ3

If they charges a one-time fee of $45, plus $25 per hour, then the the slope of this situation is $25 per hour.

The situation described can be represented by the linear equation

Cost = $45 + $25 × hours

where "Cost" is the total cost of the tour and "hours" is the number of hours for which the tour is taken.

The slope of this equation represents the rate of change in the cost of the tour with respect to the number of hours.

In other words, it tells us how much the cost increases for each additional hour of the tour.

The slope of this equation is simply the coefficient of the "hours" variable, which is $25.

Therefore, the slope of this situation is $25 per hour.

Learn more about linear equation here

brainly.com/question/29739212

#SPJ4

Answer:

$25 per hour.

Step-by-step explanation:

We can simplify the expression to get:

[tex]\sqrt[4]{x^3}[/tex]

Here we want to simplify the following expression:

[tex]\sqrt[]{x} *\sqrt[4]{x}[/tex]

Remember that a square root is equivalent to a power of 1/2, and the fourth root is equivalent to a power of 1/4.

Then we can write:

[tex]\sqrt[]{x} *\sqrt[4]{x} = x^{1/2}*x^{1/4}[/tex]

Now in the product we just add the exponents:

[tex]\sqrt[]{x} *\sqrt[4]{x} = x^{1/2}*x^{1/4} = x^{1/2 + 1/4} = x^{3/4} = \sqrt[4]{x^3}[/tex]

That is the expression si,plified.

Learn more about square roots at:

https://brainly.com/question/98314

#SPJ1

Two expressions p/12 and 12/p gives different values, and thus they are not equivalent so Darla is correct and Matt is incorrect.

A fraction represents a part of a whole.

To Check if Matt or Darla is correct, we need to check if the expressions 12 ÷ p and p ÷ 12 are equivalent.

To see whether the two fractions equivalent or not,  we can choose a specific value of p

Compare the two expressions.

let p = 6, then:

12 ÷ p

12 ÷ 6 = 2

p ÷ 12

6 ÷ 12 = 1/2

The two expressions give different values, and thus they are not equivalent.

Hence, Two expressions p/12 and 12/p gives different values, and thus they are not equivalent so Darla is correct and Matt is incorrect.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ9

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

[tex]2y+3x=1\implies 2y=-3x+1\implies y=\cfrac{-3x+1}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{2}}x+\cfrac{1}{2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ \cfrac{-3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-3} \implies \cfrac{2}{ 3 }}}[/tex]

so we're really looking for an equation whose slope is 2/3

[tex]{\Large \begin{array}{llll} y=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+\cfrac{5}{2} \end{array}} \qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

the probability of randomly selecting a jack or 4 from a standard deck of 52 cards is 2/13.

In a standard deck of 52 cards, there are four jacks and four 4s, for a total of 8 cards that are either a jack or a 4. The probability of selecting a jack or 4 can be found by dividing the number of favorable outcomes (8) by the total number of possible outcomes (52): P(jack or 4) = 8/52. This fraction can be reduced by dividing both the numerator and denominator by 4: P(jack or 4) = 2/13. Therefore, the probability of randomly selecting a jack or 4 from a standard deck of 52 cards is 2/13. Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. Probability is used in a wide range of fields, from gambling and sports to scientific research and data analysis. Understanding probability is important for making informed decisions, predicting outcomes, and assessing risks.

To learn more about probability click here

brainly.com/question/30034780

#SPJ4

There would be 30 trapezoids to create 5 hexagons.

An hexagon is a six-sided polygon. It is made up of six equilateral triangles and six trapezoids. To create an hexagon using pattern blocks, you need 10 equilateral triangles and 20 trapezoids. Therefore, to create 5 hexagons

The exact number of trapezoids needed to create three hexagons depends on the size and shape of the hexagons. However, in general, you would need at least 18 trapezoids.

learn more about hexagon here

https://brainly.com/question/10153419

#SPJ4

To create 5 hexagons using pattern block trapezoids, you would need 15 trapezoids. This is because 3 trapezoids form one hexagon.

In geometry, a hexagon can be divided into 6 equilateral triangles. In the context of pattern blocks, these triangles are often used to construct other shapes. Now, considering that a trapezoid in pattern blocks is usually made up of 2 of these triangles, it takes 3 trapezoids to create one hexagon. Hence, to create 5 hexagons, you would need 5 x 3 trapezoids, which equals 15 trapezoids.

https://brainly.com/question/32980693

Answer:

135

Step-by-step explanation:

The max value is where the far right point of the "whisker" is.

Answer:

5125

Step-by-step explanation:

I was have it in my practice today

The answers include the following:

This is referred to as the ratio of distance to the time in which the distance was covered and it is a scalar quantity.

Sport article or research or record a sports new cast will be able to predict the outcome of this race due to the data being gathered which will provide more information about the race.

Read more about Speed here https://brainly.com/question/13262646

#SPJ1