what is the area of this circle?

Therefore, Paxton will need to invest her money for approximately 21.62 years to increase her investment from $4850 to $8000 at a simple interest rate of 7.6% per year.

To determine how long Paxton needs to invest her money in order for it to increase to $8000, we can use the formula for simple interest:

I = P * r * t

Where:

I = Interest earned

P = Principal (initial investment)

r = Interest rate per year (expressed as a decimal)

t = Time (in years)

Given that Paxton invests $4850 at an interest rate of 7.6% per year, we have:

4850 * 0.076 * t = 8000

Simplifying the equation:

369.8t = 8000

To find t, we divide both sides of the equation by 369.8:

t ≈ 8000 / 369.8 ≈ 21.62 years

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Answer:

7/20

Step-by-step explanation:

Answer:

The answer is 10

Step-by-step explanation:

I just know

Answer:

IT'S 10

Step-by-step explanation:

HAHAHAH HE HAD IT RIGHT LOL...

Have a good day =D

Answer:

\((a)\ y = 26 + 0.44x\)

\((b)\ 114\ copies\)

Step-by-step explanation:

Given

\(Base\ Charge = \$26\)

\(Rate = 44c\) per copy

Solving (a): Linear Equation

The total charges (y) is: the base charge + the rate * number of copies (x).

So, we have:

\(y = 26 + 0.44 * x\)

The 0.44 is 44 cents converted to dollars

\(y = 26 + 0.44x\)

Solving (b): Purchase if he budgets $76.16

This implies that y = 76.16

So, we have:

\(y = 26 + 0.44x\)

\(76.16 = 26 + 0.44x\)

Collect like terms

\(0.44x = 76.16 - 26\)

\(0.44x = 50.16\)

Solve for x

\(x = \frac{50.16}{0.44}\)

\(x = 114\)

A function assigns the values. The company's profit, if they manufacture 250 bowls, is 70425.

A function assigns the value of each element of one set to the other specific element of another set.

Given that the price-demand is given by the function,

p(x) = 600 - x

Therefore, the price demand in the market if the company produces 250 bowls will be,

P(250) = 600 - 250 = 350

The total revenue that will be generated by selling 250 bowls will be,

Total revenue = Number of bowls produced × Price-demand of a bowl

                       = 250 × 350

                       = 87500

Now, the cost that the company will invest in producing 250 bowls will be,

Cost of production = Fixed cost + Variable cost

                                = 5075 + (48×250)

                                = 5075 + 12000

                                = 17075

Further, the profit that the company will make is,

Profit company make = Total revenue - Cost of production

                                    = 87500 - 17075

                                    = 70425

Hence, the company's profit, if they manufacture 250 bowls, is 70425.

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Answer:

1 liter = 1000 mL

8.7 x 10^2 mL = 870 mL

870 mL / 1000 mL = 0.87 liter

hope this helps!!

The total cost of a repair is a linear function of the number of hours spent fixing a leak is y = $20 + ($40/hour)x.

Linear equations can be used to represent relationships between two variables that are directly proportional, such as distance and time or cost and quantity. They are also useful in graphing straight lines and making predictions based on patterns and trends.

Let "t" be the travel fee charged by the repair.

Let "h" be the hourly fee charged by the repair.

Based on the information given, we know that:

When x = 2, y = $100.

When x = 6, y = $260.

We can use these two points to find the values of "t" and "h" and write an equation to represent the total cost of a repair as a function of the amount of time required to remedy a leak.

First, we can find the value of "h" by using the slope formula:

(h) = (change in y) / (change in x) = ($260 - $100) / (6 - 2) = $40/hour

Next, we can use one of the points (2, $100) to find the value of "t":

$100 = (2 hours)($40/hour) + t

t = $20

Therefore, the equation that represents the total cost of a repair as a function of the number of hours spent fixing a leak is:

y = th + hx

Substituting the values of "t" and "h" that we found, the equation becomes:

y = $20 + ($40/hour)x

So, the total cost of a repair is a linear function of the number of hours spent fixing a leak.

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The complete question is A repair charges a travel free to vist a home and an hourly fee for the time spent fixing a leak. A repair that takes 2 h costs a $100. A repair that takes 6 h costs $260

Write an equation to represent the total cost of a repair, y, as a function of the number of hours spent fixing a leak, x.

Answer:

312sq. cm

Step-by-step explanation:

Area of a rectangle=length×breadth=

13×24=312sq. cm

Answer:

0.1585, or 15.85%

Step-by-step explanation:

On a standard bell curve, the area from 77 to 100 falls within the 95.45 to 99.73 range.

99.73 - 68.27 = 31.46

31.46 / 2 =15.73

99.7 - 68 = 31.7

31.7 / 2 = 15.85

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

Answer:

False

Step-by-step explanation:

A variable is not a like term with a constant because the constant lacks a varible.

Help Center to Water Slide #1: Level line, y = 3. Toddler area to Concessions: Negative incline, y = (-1/3)x - 7. Gift Shop to Restrooms: Level line, y = -9. Security desk to Water Slide #2: Even line, y = 4. Lazy river to large Whirlpool: Positive incline, y = (2/5)x + 61/5.

To calculate the slope between attractions and discover the midpoints, we'll utilize the given requested sets for each fascination. Here are the calculations:

Help Center to Water Slide #1:

Slope = ((y2 - y1) / (x2 - x1)) = ((3 - 3) / (-6 - 2)) = / -8 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((2 + (-6)) / 2), ((3 + 3) / 2)) = (-2, 3)

Toddler area to Concessions:

Slope = ((y2 - y1) / (x2 - x1)) = ((-6 - (-3)) / (6 - (-3)) = (-3 / 9) = -1/3

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((-3 + 6) / 2), ((-9 + (-6)) / 2)) = (1.5, -7.5)

Gift Shop to Restrooms:

Slope = ((y2 - y1) / (x2 - x1)) = ((-9 - (-9)) / (8 - 2)) = / 6 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((8 + 2) / 2), ((-9 + (-9)) / 2) = (5, -9)

Security desk to Water Slide #2:

Slope = ((y2 - y1) / (x2 - x1)) = ((4 - 4) / (16 - 5)) = / 11 =

Midpoint = ((x1 + x2) / 2), ((y1 + y2) / 2)) = ((5 + 16) / 2), ((4 + 4) / 2) = (10.5, 4)

Lazy River to Large Whirlpool:

Slope = ((y2 - y1) / (x2 - x1)) = ((10 - 14) / (-7 - 3)) = (-4 / -10) = 2/5

Midpoint = ((x1 + x2) / 2)), ((y1 + y2) / 2)) = ((-7 + 3) / 2), ((10 + 14) / 2)) = (-2, 12)

Presently, let's calculate the linear equations for each case:

Help Center to Water Slide #1:

The Slope is 0, and the y-coordinate is consistent, so the equation is y = 3.

Toddler area to Concessions:

The Slope is -1/3, and the y-intercept can be calculated utilizing the midpoint facilitates:

-7.5 = (-1/3)(1.5) + b

-7.5 = -0.5 + b

b = -7

Gift Shop to Restrooms:

The Slope is 0, and the y-coordinate is steady, so the equation is y = -9.

Security desk to Water Slide #2:

The Slope is 0, and the y-coordinate is steady, so the equation is y = 4.

Lazy River to Large Whirlpool:

The Slope is 2/5, and the y-intercept can be calculated utilizing the midpoint arranges:

12 = (2/5)(-2) + b

12 = -4/5 + b

b = 61/5

The Linear equations for each case are as follows:

Help Center to Water Slide #1: y = 3

Toddler area to Concessions: y = (-1/3)x - 7

Gift Shop to Restrooms: y = -9

Security desk to Water Slide #2: y = 4

Lazy River to Large Whirlpool: y = (2/5)x + 61/5

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The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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On performing the given row-operation on the given augmented-matrix:

(a) multiplying row1 by -2 and adding to row2, we have \(\left[\begin{array}{ccc}5&-2&6\\-10&10&-15\end{array}\right]\),

(b) interchanging row1 and row2, we have \(\left[\begin{array}{ccc}0&6&-3\\5&-2&6\end{array}\right]\),

(c) Multiplying row1 by 2, the matrix becomes \(\left[\begin{array}{ccc}10&-4&12\\0&6&-3\end{array}\right]\).

The augmented matrix on which we have to perform the row operation is

⇒ \(\left[\begin{array}{ccc}5&-2&6\\0&6&-3\end{array}\right]\),

Part(a) : We have to multiply row1 by -2 and and add to row2,

The row-operation is performed as : \(\left[\begin{array}{ccc}5&-2&6\\(5\times-2)+0&(-2\times-2)+6&(6\times-2)-3\end{array}\right]\);

Simplifying further ,

We get,

\(\left[\begin{array}{ccc}5&-2&6\\-10&10&-15\end{array}\right]\).

Part(b) : We have to interchange the "row1" and "row2",

On interchanging,

We get,

\(\left[\begin{array}{ccc}0&6&-3\\5&-2&6\end{array}\right]\).

Part(c) : We have to multiply the elements of "row1" by 2,

So, On multiplying the "row1" by 2,

We get,

⇒ \(\left[\begin{array}{ccc}5\times 2&-2\times 2&6\times 2\\0&6&-3\end{array}\right]\)

⇒ \(\left[\begin{array}{ccc}10&-4&12\\0&6&-3\end{array}\right]\).

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Answer:

The coordinates of a point are a pair of numbers that define its exact location on a two-dimensional plane. Recall that the coordinate plane has two axes at right angles to each other, called the x and y axis. The coordinates of a given point represent how far along each axis the point is located.

Step-by-step explanation:

Mrs. Wu initially had $1062.40.

Let's break down the given information step by step:

1. Mrs. Wu spent 1/6 of her money on a dress and 2 blouses.

  Let's assume Mrs. Wu's total money is represented by the variable M. She spent 1/6 of M on the dress, which means she spent (1/6)M on the dress and the same amount on two blouses.

2. The dress cost 3 times as much as each blouse.

  Let's assume the cost of each blouse is represented by the variable B. Therefore, the cost of the dress would be 3B.

3. Mrs. Wu spent 3/4 of her remaining money on a watch.

  After spending on the dress and blouses, Mrs. Wu has (M - (1/6)M) = (5/6)M remaining. She spent 3/4 of this remaining money on a watch, which is (3/4) * (5/6)M = (15/24)M.

4. She spent $220.50 more on the watch than on the dress.

  The amount spent on the watch is (15/24)M, and the amount spent on the dress is (1/6)M. The difference between these amounts is $220.50.

To find the value of M, we can set up an equation:

(15/24)M - (1/6)M = $220.50

Simplifying the equation:

(15/24 - 1/6)M = $220.50

(5/24)M = $220.50

Multiplying both sides by (24/5):

M = $220.50 * (24/5)

M = $1062.40

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Answer:

x=3. y=6

Step-by-step explanation:

So, to solve x and y, we need to take the equivelent sides of the two triangles, take their equations, and solve them.

So to find what x equals, we can take the 13, and make it equal to the 4x+1:

13=4x+1

Subtract the one from both sides:

12=4x

Divide both sides by 4:

3=x

Or

x=3

So we know the x value is 3.

Now lets solve for y using the bottom equations:

2x+y=8x-2y

Subtract 1y from both sides:

2x=8x-3y

Subtract 8x from both sides:

-6x=-3y

Divide both sides by -6:

x=1/2y

So we already know that x=3, lets plug that in for x, and solve for y:

3=1/2y

Or

1/2y=3

Multiply both sides by 2 to get 1y:

y=6

So we know that y is equal to 6.

Hope this helps!

The length of each Plan A workout will be 1.25 hours and the length of each Plan B workout will be 1.25 hours.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Let 'x' be the number of hours of plan A and 'y' be the number of hours of plan B. Then the equations are given as,

2x + 6y = 10

x + 3y = 5            ...1

5x + 3y = 10        ...2

Subtract equation 1 from equation 2, then we have

5x - x = 10 - 5

4x = 5

x = 1.25 hours

Then the value of 'y' is calculated as,

1.25 + 3y = 5

3y = 3.75

y = 1.25

The length of each Plan An exercise will be 1.25 hours and the length of each Plan B exercise will be 1.25 hours.

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Answer:

9 for 14 is slightly less expensive, but for convenience 3 for 5 is better

Step-by-step explanation:

5/3=1.(6)

14/9=1.(5)

To make a tree diagram, start by writing out the given information and drawing a box around it. Then draw two branches off of the box representing the two possible outcomes of selecting a student, male or female. Then draw two more branches off of each of the first two branches, representing the two possible outcomes of receiving aid.

Then draw two more branches off of each of the second two branches, representing the two possible outcomes of receiving federal aid. This will create a tree diagram that looks like this (see the image).

From the tree diagram, we can calculate the probability of selecting a student from the given information as follows:

P(selecting a student) = P(selecting a male) + P(selecting a female) = (of male students/total students) + (of female students/total students) = (of male students + of female students)/total students =

Therefore, the probability of selecting a student from the given information is .

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1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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The factored form is (5x+2)(x-4).

What is factorization?

A number, matrix, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number, matrix, etc. This process is known as factorization or factoring.

Here, we have

Given:  5 x squared minus 18 x minus 8

we have to find the factored form.

= 5x² - 18x - 8

= 5x² - 20x + 2x - 8

= 5x(x-4) + 2(x-4)

= (5x+2)(x-4)

Hence, the factored form is (5x+2)(x-4).

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Answer:

3/1

Step-by-step explanation:

Answer: X = 4/61

Step-by-step explanation

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious