On a certain hot summer's day, 544 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $964.00. How
many children and how many adults swam at the public pool that day?

As per the concept of compounding interest, the amount he deposited on each year is $471.55

Compounding interest in math is the term defined as the interest on a deposit calculated based on both the initial principal and the accumulated interest from previous periods.

Here we know that the final amount is 12,400.00 and the time period is 13 years and interest rate is 6.05%.

Here we have identified that the compounding frequency is monthly basis.

Then the amount is calculated by using the compound interest formula

A = P(1 + r/n)ⁿˣ

Here we have to convert R as a percent to r as a decimal

r = R/100

r = 6.05/100

r = 0.0605 per year,

Now we have to solve the equation for P

P = A / (1 + r/n)ⁿˣ

P = 12,400.00 / (1 + 0.0605/12)⁽¹²ˣ¹³⁾

P = 12,400.00 / (1 + 0.0050416666666667)¹⁵⁶

P = $5,658.58

Here we know that the principal amount for one year for each month the amount is calculated as,

=> 5,658.58/12 = 471.55

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The thieves could take approximately 1555 bars of platinum.

Pt stands for platinum, an atomic number 78 chemical element. It is a thick, malleable, ductile, very inert, silvery-white-colored transition metal. Its name comes from the Spanish diminutive platina, meaning "silver"

One 1 lb bar of platinum has a volume of approximately 0.11 cubic feet. Assuming the density of platinum to be approximately 21 g/cm^3, the weight of 1 lb bar of platinum is approximately 0.45 kg. The maximum payload capacity of the small truck is approximately 317 kg. Hence, the thieves could take approximately 700 / 0.45 = 1555 bars of platinum.

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The transformation represented by the figure is (a) reflection

From the question, we have the following parameters that can be used in our computation:

The figure

On the figure, we can

An arc and its mirrored image

When a shape is mirrored to form another, then the transformation is a reflection

Hence, the transformation is reflection

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Answer:

graphing on a graph

Step-by-step explanation:

Answer: The number of elk that are likely to be infected can be estimated using the sample proportion of infected elk. The sample proportion is the ratio of the number of infected elk in the sample to the total number of elk in the sample.

In this case, the sample proportion is:

7/50 = 0.14

This proportion can be used to estimate the proportion of the entire population of elk that is infected. To do this, we can multiply the sample proportion by the total population of elk and round to the nearest whole number.

0.14 * 6,000 = 840

So, it's likely that 840 elk are infected.

Please note that this is an estimate and the actual number of infected elk could be different. Additionally, this estimation is based on a random sample, so it can have a margin of error.

Step-by-step explanation:

The symbolic representation is pUq

Symbolic representation is defined as the representation of a principal, a nation for example, through a symbol, such as a flag, that evokes particular meanings and emotions about the nation

Papa Smurf is green or the Snorks use clams as money

let's suppose p = Papa Smurf is green

or q = Snorks use clams as money

here and logic is used in between Papa Smurf being green or the Snorks using clams as money

Or logic is represented by "U".

pUq will be the correct answer.

NOTE- a symbolic representation of Or is  U.

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In a connection that is represented by an exponential function, the independent variable's proportional change is unchanged with a constant change in the independent variable.

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

When the input variable x appears as an exponent in the formula f(x) = axe, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x.

After x hours, you will have twice as much germs if you start with one and it doubles every hour. F(x) = 2x can be used to express this.

The fundamental exponential function generally has the shape,

y = nakx-------

(0,3) is the function's y intercept.

This location has to satisfy the equation (1). So let's substitute in order to get,

3 = na k(0)

⇒ 3 = n x a 0

⇒ 3 = n x 1

⇒ n = 3

Our equation 1 now changes.

y = nakx-------

Noting that the graph crosses through,(1 ,1) it must also satisfy its equation because it does so. Equation (2) can be solved by substituting this point, giving us

1 = 3ak (1)

⇒ 1/3 = ak

Now let's enter the value of ak = 1/3 into equation (3) to get,

y = 3(1/3)x

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The minimum weight of the middle 95% of the players are 151 pounds.

The question is asking for the lower bound of the 95% two tailed Confidence interval of the normally distributed population.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

95% of C.I. is given by 220 + or - 1.96(15)

       = 200 + or - 29 = (191)

Two standard deviations is =2×15=30 pounds

Minimum Weight =220−29 =  191 pounds

Therefore, the minimum weight of the middle 95% of players is 191 pounds.

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i think it is 326.7 but i really not sure

We can write the expression as →

{z} = n{x + y}

Given is that Bryce, Alejandro and Dominic went for hiking.

Assume that Bryce and Alejandro travelled {x} and {y} miles respectively.

Assume that Dominic hiked {z} miles and {n} times as far as Bryce and

Alejandro hiked.

We can write the expression as -

z = n{x + y}

Therefore, we can write the expression as →

{z} = n{x + y}

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The rate of the jet in still air is 741 mph, and the rate of the wind is 150 mph.

What is rate ?

A rate is a ratio of two quantities, typically a change in one quantity over a corresponding change in another quantity, often over a specific time period. For example, the interest rate on a loan is the ratio of the interest paid to the amount of the loan. A speed is a rate at which an object covers distance, velocity is a rate of change of position, etc.

To find the rate of the jet in still air:

Rate = Distance / Time

The distance is 2964 miles, and the time is 4 hours. So the rate of the jet in still air is:

Rate = 2964 / 4 = 741 mph

To find the rate of the wind, you can use the formula:

Wind Rate = (Distance with wind - Distance against wind) / Time

The distance with the wind is 3564 miles, the distance against the wind is 2964 miles, and the time is 4 hours. So the rate of the wind is:

Wind Rate = (3564 - 2964) / 4 = 600 / 4 = 150 mph

So the rate of the jet in still air is 741 mph, and the rate of the wind is 150 mph.

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I have been working 1004 days at the job as a student

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, and division among others.

To solve this problem we must perform the following algebraic operations with the given information

Calculate the days from 08/21/2019 to 08/21/2022, we get:

Days 1 = (08/21/2022 - 08/21/2019) * (365 days/1 year)

Days 1 = 3 years * (365 days/1 year)

Days 1 = 1095 days

Calculate the days from 05/21/2019 to 08/21/2019, we get:

Days 2 = (08/21/2019 - 05/21/2019) * (30 days / 1 month)

Days 2 = 3 months * (30 days / 1 month)

Days 2 = 90 days

Calculating the days from 05/20/2019 to 05/21/2019, we get:

Days 3 = 05/21/2019 - 05/20/2019

Days 3 = 1 day

Calculate the total days from 08/21/2019 to 05/20/2022, we get:

Total days = Days 1 - days 2 - days 3

Total days = 1095 days - 90 days - 1 day

Total days = 1004 days

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Answer:

$460

Step-by-step explanation:

Therefore the regular price of the sofa is $460

Answer: Image attached below

Simply draw a dashed line at 6 and shade below the line

Inequalities are relationships between numbers or expressions that show whether a value is greater, less, or equal to another value.

Graph of y = 6

The first step of graphing any inequality is to graph it as though it were an equation. So, first graph the line y = 6. This line is a horizontal line at the y-value 6.

Then, go back to the inequality. The inequality states that y is less than 6. Since there is no "or equal to" sign, the line should be dotted. If there were an "or equal to" sign, then the line should have been solid. This is because the solutions to the inequality do not include 6.

Shading

Whenever you graph an inequality, the portion of the graph that satisfies the inequality should be shaded. In this case, the inequality is looking for all y-values less than 6. So, the portion of the graph under the line should be shaded in.

Answer:

900

Step-by-step explanation:

90 x 10

A   Are they are limited to the amount of paint they have?      80g / 1 g/mile  = 80 miles       using all of the paint

         50 trucks /2 trucks/mile  = 25 miles     using all of the  trucks of asphalt

B    25 miles of bridge =  =    25 trucks   leaving 25 trucks of asphalt         25 trucks/2 trucks/mile = 12.5 miles of land highway  possible

      25 miles of bridge =       25 miles x 3 gal/mile = 75 gallons of paint    leaving only 5 gallons of paint for 5 add'l land miles

         25 miles of bridge + 5 land miles = 30 miles total highway .

The set of mobile gaming apps in which the number of monthly users was greater than 12 million is {A, B}

A set is a collection of distinct objects, called elements or members, that are brought together by a common property or rule.

Sets can be represented using set notation, which uses curly brackets {} to enclose the elements of the set. For example, the set of natural numbers less than 5 can be represented as {1, 2, 3, 4}.

The set of mobile gaming apps in which the number of monthly users was greater than 12 million can be determined by checking given the table for mobile gaming apps with value greater than 12 million.

You will notice that only A and B have values greater than 12 million. That is 23 million and 13 million for A and B respectively.

Thus, the set will be {A, B}

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The expression for the perimeter of the triangle will be 6x + 22.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The perimeter of the triangle is determined by adding together all of its sides.

A workmanship class is making a painting for their school which has a triangle attracted the center. The length of the lower part of the triangle is x. Another side is 11 a larger number of than 4 times the length of the lower part of the triangle. The last side is 11 a greater number of than the lower part of the triangle.

Then the dimension of the triangle will be x, 4x + 11, and x + 11. Then the perimeter isgiven as,

P = x + 4x + 11 + x + 11

P = 6x + 22

The expression for the perimeter of the triangle will be 6x + 22.

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Factor out x from the expression

answer : x×(x-2y)

To flush twice the volume of water contained in the system, you would need to flush 18.2 gallons x 2 = 36.4 gallons of water through the system.

To calculate the volume of water contained in the system, you would use the formula for the volume of a cylinder: V = πr^2h, where r is the radius of the pipe (half the diameter), h is the length of the pipe, and π is approximately 3.14.

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The All the expressions that are equivalent to "3.5 - (4.7)" are (b) -4.7 + 3.5 and (e) 3.5+ (-4.7)  .

to find the equivalent expressions , we solve the expressions :

the main expression is 3.5 - (4.7) = -1.2 ;

Simplifying the expressions :

(a) 4.7 - (3.5) = 1.2    False

(b) -4.7 + 3.5 = -1.2   True

(c) 3.5 + 4.7 =  8.2  False

(d) 3.5 - (-4.7) = 3.5 + 4.7 = 8.2   False

(e) 3.5 +(-4.7) = 3.5 - 4.7  = -1.2   True

So , the only value of the expressions that matches with the main expressions are (b) -4.7 + 3.5 and (e) 3.5+ (-4.7)  .

The given question is incomplete , the complete question is

Select ALL of the expressions that are equivalent to "3. 5 - (4. 7)"

(Select all that apply. )

(a) 4.7 - (3.5)

(b) -4.7 + 3.5

(c) 3.5 +4.7

(d) 3.5 - (-4.7)

(e) 3.5 + (-4.7)

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(a) The Total Surface Area of a pyramid = (1/2) × Base Perimeter × Slant Height + Base area

(b) The Lateral Surface Area of a pyramid = (1/2) × Base Perimeter × Slant Height

A pyramid's surface area is a measurement of the entire area occupied by all of its faces. Check out the pyramid shown below to view all of its faces as well as its peak, altitude, slant height, and base.

The whole area of a pyramid's faces makes up its surface area. There are two different types of surface areas in a pyramid: the total surface area(TSA) and the lateral surface area (LSA).

(a) The total surface area of the pyramid is measured as:

The Total Surface Area of a pyramid = lateral surface area of pyramid + Base area

The Total Surface Area of a pyramid = (1/2) × Base Perimeter × Slant Height + Base area

(b) The lateral surface area of the pyramid is measured as:

The Lateral Surface Area of a pyramid = The total area of the pyramid's side faces (triangles)

The Lateral Surface Area of a pyramid = (1/2) × Base Perimeter × Slant Height

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The solution to the first system of equations is given as follows:

(0, -0.6).

The solution to the second system of equations is given as follows:

(0.64, 1.18).

The first system of equations is given as follows:

Multiplying the first equation by -2, the system is given as follows:

Adding the two equations, the solution for y is given as follows:

15y = -9

y = -9/15

y = -0.6.

Hence the solution for x is of:

7x - 10(-0.6) = 6

7x + 6 = 6

x = 0.

The second system of equations is given as follows:

Multiplying the first equation by 3 and the second by 2, we have that:

Adding them, the solution for y is obtained as follows:

22y = 26

y = 26/22

y = 1.18.

The solution for x is of:

6x + 12(1.18) = 18

x = (18 - 12 x 1.18)/6

x = 0.64.

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Answer: its -81

hope this helps

The x-coordinates of the endpoints are the same.

What are the coordinates?

Coordinates are a set of numbers that are used to specify the position of a point on a graph or a coordinate plane. The most common type of coordinate system is the Cartesian coordinate system, which uses two perpendicular number lines called the x-axis and the y-axis to define the position of a point.

When talking about coordinates, there are two types of coordinates: x-coordinates and y-coordinates. The x-coordinate refers to the horizontal position of a point on a graph or a coordinate plane, while the y-coordinate refers to the vertical position of the point.

In the statement "The x-coordinates of the endpoints are the same," it means that the horizontal position of the two endpoints is the same. These endpoints could be the two points that define a line segment, a geometric figure, or a graph. The x-coordinates of both of these points are the same, while the y-coordinates could be different.

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The solution of the given inequalities is given below:

a. x < 5 or x < -3

b. x ≥ 4

The solution of an inequality is the value that will make the inequality true.

The solution of the given inequalities is determined as follows:

a. x² - 2x - 15 < 0

x² - 5x + 3x - 15 < 0

x(x - 5) + 3(x - 5) < 0

x - 5 < 0

x < 5

or

x + 3 < 0

x < -3

b. |3x-2| ≥ 10

3x - 2 ≥ 10

3x ≥ 10 + 2

3x ≥ 12

x ≥ 4

The solutions are shown in the number lines attached.

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This data will be considered as Qualitative sample.

Qualitative data is the data that is not represented by numbers, On the other hand, the quantitative data is represented by numbers and it is classified as discrete and continuous.

Qualitative sample

In qualitative research, only a sample  of a population is selected for any given study. The study's research objectives and the characteristics of the study population determine which and how many people to select.

Quantitative sample

The quantitative research sampling method is the process of selecting representable units from a large population. Quantitative research refers to the analysis wherein mathematical, statistical, or computational method is used for studying the measurable or quantifiable dataset.

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The equations of the lines are

The parallel lines

We have the points to be

(3, 6) and (0, 2)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 2

Using the points, we have

6 = 3m + 2

So, we have

3m = 4

Divide

m = 4/3

So, the equation is

y = 4/3x + 2

For the other parallel line, we have

y = 4/3x - 2

Perpendicular line

The slopes of parallel and perpendicular lines are opposite reciprocals

So, we have

m = -3/4

This gives

y = -3/4x + c

We have the point to be (0, 8.5)

So, we have

y = -3/4x + 8.5

y = -0.75x + 8.5

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Answer:

a) linear function

b) quadratic function

Step-by-step explanation:

a) j(n) is a linear function since 5 is added everyday.

b) t(n) would be a quadratic function because the total amount of jumping jacks wouldn't have the same number that is beiung added.

day 1 = 5

day 2 = 15

day 3 = 30

day 4 = 50

day 5 = 75

This is showing that at first 10 jumping jacks are added but then for day 2 15 are added, for day 3 20 are added and so on.

The cruise ship will be 70 units (could be nautical miles, kilometers or any other unit) away from the iceberg.

What is the slope intercept?

The slope-intercept form of a linear equation is y = mx + b, where x and y are the coordinates of a point on the line, m is the slope of the line (the steepness of the line), and b is the y-intercept (the point where the line crosses the y-axis).

To determine how close the cruise ship will get to the iceberg, we need to find the point of intersection between the ship's path (y = x + 40) and the location of the iceberg (x = 40, y = 10).

Substituting x = 40 into y = x + 40, we get:

y = 40 + 40

y = 80

So the point of intersection is at (40, 80).

We can then use the distance formula to find the distance between the point of intersection and the location of the iceberg:

d = √((40 - 40)^2 + (80 - 10)^2)

d = √((0)^2 + (70)^2)

d = 70

So the cruise ship will be 70 units (could be nautical miles, kilometers or any other unit) away from the iceberg.

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