WILL VOTE BRAINLIEST FOR THE FIRST RIGHT ANSWER

The money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

The formula for compound interest is given as;

[tex]A = P ( 1 + \frac{r}{n} )^n^t[/tex]

P = principal interest = $25, 000

r = rate = 4. 5%

n = 2 months

t = 6 years

A = [tex]25, 000 ( 1 + \frac{4. 5}{2} )^2 ^*^6[/tex]

A = [tex]25, 000(1 + 0. 75)^1^2[/tex]

A = [tex]25, 000( 825. 00)[/tex]

A = $20, 625, 000

Thus, the money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

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Answer:

n = 100

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

given A = 40π , then

πr² × [tex]\frac{n}{360}[/tex] = 40π

π × 12² × [tex]\frac{n}{360}[/tex] = 40π

144π × [tex]\frac{n}{360}[/tex] = 40π ( divide both sides by π )

144 × [tex]\frac{n}{360}[/tex] = 40 ( multiply both sides by 360 to clear the fraction )

144n = 14400 ( divide both sides by 144 )

n = 100

a. The median is 70, the mode is 60, and the mean is 70.8.

b. Mean best captures the data.

c. When there are outliers, the mean might be a deceptive center measure.

Calculating the Mean, Median, and Mode

Mean: Total number of sunglasses / total quantity of pries

Mean = (20 + 20 + 50 + 50 + 50 + 60 + 60 + 60 + 60 + 60 + 60 + 70 + 70 + 70 + 80 + 80 + 80 + 80 + 90 + 90 + 90 + 90 + 100 + 100 + 130) / 25

Mean = 70.8

Median is equal to the (n/2 + 1)th term.

The number of sunglasses in this case is n.

(25/2 + 1)th term as the median

Median = 13th term

Median is 70

Mode is  the most frequent data

Therefore, mode = 70

Why is mean the most appropriate central measure ?

The mean is often the ideal measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data are normally distributed. So, mean here denotes the typical cost of the sunglasses.

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Answer:

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

The correct standard form of the equation of the parabola is:

[tex](x+3)^{2}[/tex]= 4(y - 3).

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix). An essential curve of the coordinate geometry's conic sections is the parabola.

For the given question,

Vertex of parabola is (-3,3)

Thus, the equation of the parabola is:

[tex](x-h)^{2}=4(y-k)[/tex]

[tex](x+3)^{2}[/tex]= 4(y-3)

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Answer:

there are 6 people that need to sit down so let's see how we can fill those seeds we will start while finding seats for Alice and bob they can't sit next to each other so will remove one of the seeds them both in the remaining 5 then at a seat between them to ensure that they are not next to each other they are 5 ways to choose seat and 4 ways from those that we make giving 20 ways to seats

Step-by-step explanation:

once a lies and verb are ct we can arrange the remaining people in 4 is equal to 24 west in each other four seats for the total of 20 into 24 4 80 ways to seat everyone

Answer:

1. y = 0

2. f(x) has a horizontal asymptote at y=3/2

I hope this helps and that you can give a brainliest!

Step-by-step explanation:

There is a horizontal asymptote at y = 0 because the degree of the x value in the denominator is greater than the degree of the numerator (since it doesn't exist in the numerator, it counts as 0).

The second question does not have a slant asymptote.

The degree of both numerator and denominator are equal, so the horizontal asymptote is the quotient of the leading coefficients. So, it's 3 divided by 2.

An angle will always be formed when two or more lines intersect. These can form a series of complementary or supplementary angles. Complementary angles add upt o a right angle, while supplementary angles are two or more angles formed that add up to [tex]180^{o}[/tex]. Thus two supplementary angles can be referred to as a linear pair.

Therefore the required statements and reasons for the question are stated below:

          STATEMENT                                 REASONS

1. Line l and line m intersect                  Given

2. <1 is supplementary to <2,                        

   <3 is supplementary to <4                 Linear pair theorem

3. m<2 + m<3 = [tex]180^{o}[/tex],      

   m<3 + m<4 = [tex]180^{o}[/tex]                               Definition of Supplementary angles

4. m<1 + m<2  = m<3 + m<4 = [tex]180^{o}[/tex]        Congruent Supplement Theorem

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Answer:

Step-by-step explanation:

  <3 is supplementary to <4                 Linear pair theorem

I took the plato test and got it right

The slope-intercept equation for the given line is y = 2x + 3

From the question, we are to determine the equation for the line

The slope-intercept form of the equation of a straight line is

y = mx + b

Where m is the slope

and b is the y-intercept

First, we will determine the slope

Slope of the line = (3 - 0) / (1.5 - 0)

Slope of the line = 3/1.5

Slope of the line = 2

∴ m = 2

On the graph, we can observe that the y-intercept is 3

∴ b = 3

Thus,

The equation becomes

y = 2x + 3

Hence, the slope-intercept equation for the given line is y = 2x + 3

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Answer:

to find domain just take the first values of each ordered pairs.

to find range take the second values of the ordered pairs.

Answer:

7

Step-by-step explanation:

5x+3=38 subtract the 3 from the 38 leaving you with 35/5 getting you 7

The value of x in the given parallelogram is 7.

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

So 5x+3=38

We need to find the value of x

Subtract 3 from both sides

5x=38-3

5x=35

Five times of x equal to thirty five

Divide both sides by 5

x=7

Hence, the value of x in the given parallelogram is 7.

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The value of the expression [tex]2 \div 6.3[/tex] is 0.32

The expression is given as:

[tex]2 \div 6.3[/tex]

Rewrite as:

[tex]2 \div 6.3= \frac{2}{6.3}[/tex]

Multiply the expression by 10/10

[tex]2 \div 6.3= \frac{20}{63}[/tex]

Divide 20 by 63

[tex]2 \div 6.3= 0.31746031746[/tex]

Approximate to the nearest hundredth

[tex]2 \div 6.3= 0.32[/tex]

Hence, the value of the expression [tex]2 \div 6.3[/tex] is 0.32

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Answer:

d; y - 1 = 4/5(x + 2)

Step-by-step explanation:

the equation for a point-slope form line is y - y1 = m(x - x1)

plug in the points and you will get your answer

y - 1 = 4/5(x + 2)

that is your answer

The base is a square, so the area of the square is (10 cm)² = 100 cm²

To find the area of each triangle use the formula

base • height

10 cm • 9 cm = 90 cm²

now multiply by the number of triangles

90 cm • 4 = 360 cm²

Add the area of the square:

100 cm² + 360 cm² = 460 cm²

I hope it's correct

Answer:

SA = 280 cm²

Step-by-step explanation:

SA = area of base + area of 4 congruent triangles

     = 10² + (4 × [tex]\frac{1}{2}[/tex] × 10 × 9 )

     = 100 + (2 × 10 × 9)

     = 100 + 180

     = 280 cm²

Answer:

width = 32 ft

Step-by-step explanation:

Divide the base area (864 ft^2) by the length (27 ft).  We don't need to know the depth of the pool to solve this problem.

864 ft^2

------------- = width = 32 ft

  27 ft

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]

[tex]\huge\textbf{Solve:}[/tex]

[tex]\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]

[tex]\mathbf{\rightarrow \dfrac{1\times5+1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]

[tex]\mathbf{\rightarrow \dfrac{5 + 1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]

[tex]\mathbf{\rightarrow \dfrac{6}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{\rightarrow \dfrac{2}{5}x = \dfrac{9}{10}}[/tex]

[tex]\huge\textbf{Multiply \boxed{\bf \dfrac{5}{2}} to both sides:}[/tex]

[tex]\mathbf{\rightarrow \dfrac{5}{2}\times \dfrac{2}{5}x = \dfrac{5}{2}\times \dfrac{9}{10}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{\rightarrow x = \dfrac{5}{2}\times \dfrac{9}{10}}[/tex]

[tex]\mathbf{\rightarrow x = \dfrac{5\times9}{2\times10}}[/tex]

[tex]\mathbf{\rightarrow x = \dfrac{45}{20}}[/tex]

[tex]\mathbf{\rightarrow x = \dfrac{45\div5}{20\div5}}[/tex]

[tex]\mathbf{\rightarrow x = \dfrac{9}{4}}[/tex]

[tex]\mathbf{x \approx 2 \dfrac{1}{4}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{x = }\frak{2 \dfrac{1}{4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Question :

Solution :

>> (5 × 1 + 1 / 5) × (x / 3) = 9 / 10

>> (5 + 1 / 5) × (x / 3) = 9 / 10

>> (6 / 5) × (x / 3) = 9 / 10

>> 6 × x / 5 × 3 = 9 / 10

>> 6x / 15 = 9 / 10

>> 2x / 5 = 9 / 10

>> 2x × 10 = 5 × 9

>> 20x = 45

>> x = 45 / 20

>> x = 9 / 4

Therefore,

The volume of the cone of  radius 5 units and height 3 units is 78 cubic units.

Given radius of cone 5 units and height of cone be 3 units.

We are required to find the volume of cone.

Volume is the amount of substance that a container can hold in its capacity.

Formula of cone is 1/3 *π[tex]r^{2} h[/tex] in which  r is radius and h is height of cone.

We have to just put the values in formula.

Volume=1/3 *π[tex]5^{2} 3[/tex]

=25*3π/3

=75π/3

=25π

Put π=3.14 as said in the question.

=25*3.14

=78.5 cubic units.

After rounding we will get 78.

Hence the volume of cone whose radius is 5 units and height is 3 units is to be 78 cubic units.

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Question is incomplete as it should include the figure.

Answer:

Step-by-step explanation:

From the right triangle with cot theta = 4/7  = (adjacent side / opposite side), Fatima can find the length of the hypotenuse using Pythagoras. This gives  a value of 8.0823. So cos theta = 4 / 8.0823 = 0,49614,

Then she could find the values of sin theta  using

sine squared theta + cos squared theta = 1.

Answer: its D or 1 + cotangent squared theta = cosecant squared theta

Step-by-step explanation:

The x-coordinate of the point is -2

The points are given as:

J = (-6, -2)

K = (8, -9)

m : n = 2 : 5

The x-coordinates of the point is calculated as:

[tex]jk = \frac{m}{m+n} *(x_2 -x_1) +x_1[/tex]

So, we have:

[tex]jk = \frac{2}{2+5} *(8+6) -6[/tex]

This gives

[tex]jk = \frac{2}{7} *14 -6[/tex]

So, we have:

jk = 4 - 6

Evaluate

jk = -2

Hence, the x-coordinate of the point is -2

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The expression that represents the volume of the composite figure is: 1/3(8)(6)(6) + (8)(6)(4).

The volume for the given composite figure = volume of the rectangular pyramid + volume of rectangular prism.

= 1/3(l)(w)(h) + (l)(w)(h)

Thus, with the given dimensions, plug in the values to get the expression represents the volume of the composite figure:

Volume = 1/3(8)(6)(6) + (8)(6)(4)

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Answer:

54

Step-by-step explanation:

6 bars of soap = $1

x bars of soap = $9

We need to multiply both sides of the equation by the same amount so that $9 is on the right.

$1 x 9 = $9

6 x 9 = 54

So, you can buy 54 soaps with $9.

Hope this makes sense. Feel free to ask further if need be.

Considering the linear functions on the graph, the inequality that matches the situation is:

B.

A linear function is modeled by:

y = mx + b

In which:

The lower bound of the interval is a linear function with y-intercept of b = 2, that also passes through (2,3), hence the slope is:

m = (3 - 2)/(2 - 0) = 1/2.

Hence the inequality is:

[tex]y \geq \frac{1}{2}x + 2[/tex]

The upper bound of the interval is a linear function with y-intercept of b = 1, that also passes through (2,5), hence the slope is:

m = (5 - 1)/(2 - 0) = 2.

Hence the inequality is:

[tex]y \leq 2x + 1[/tex]

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Answer:

(A) 36°

Step-by-step explanation:

Find intercepted arc (RT):

360° - 288° = 72

*A circle is 360°*

Find angle RST:

An inscribed angle = 1/2 intercepted arc

angle RST = 1/2(72)

Angle RST = 36°

Answer: 72 square units

Step-by-step explanation:

[tex]A=Bh=6(12)=72[/tex]

Answer:

72 SQUARE UNITS

Step-by-step explanation:

The equations which gave the same solution as; 2.3p – 10.1 = 6.5p – 4 – 0.01p are;

It follows from the answer choices that the equation; 2.3p – 10.1 = 6.49p – 4 is equivalent to the given equation as the algebraic sum of p variables is evaluated on the right hand side.

The second equation; 230p – 1010 = 650p – 400 – p also is equivalent to the given equation, when multiplied through by 100.

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Answer:

B & C

Step-by-step explanation:

edge 2023

The reason the graph given is misleading is that there is an Inconsistent scale on the y-axis.

The y-axis is inconsistent because it went from 0 to 200 and instead of continuing to increase by 200, it begins to increase by 10.

This is misleading because the scale used has to be uniform or else it would be hard to read the data.

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Answer:

I may have misubderstood the question, so review carefully.

width = 380 m

length is 420 m

Step-by-step explanation:

Let w and l stand for the width and length of the stadium.

We are told that w = l - 40 m

We also learn that l = 420 m

w = l - 40 m

w = (420 m) - 40 m

width = 380 m

length is 420 m

The value of x is 7/2

The equation is given as:

x/3 - 3/4 = 5/12

Multiply through by 12

4x - 9 = 5

Add 9 to both sides

4x = 14

Divide by 4

x = 7/2

Hence, the value of x is 7/2

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