14. Jackie borrows $1,500 at 5.75% compound
interest for five years. If she makes monthly
payments, how much is her loan amount after
five years? Round answer to the nearest dollar.
[A] $1,536
[D] $1,725
[B] $2,073
[E] $1,998
[C] $2,050
16 Robert

WHAT IS DISTANCE?

Distance is a numerical or occasionally qualitative measurement of how far apart objects or points are. In physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria

You need to write complete questions in order to get good and exact answers. Here you haven't provided any graph so I could help you giving you my own graph. The relationship between speed, time and distance is as follows:

Where:

[tex]d=v t[/tex]

[tex]Where :[/tex]

[tex]d: Distance[/tex]

[tex]v:speed[/tex]

[tex]t : time[/tex]

So [tex]v[/tex] represents slope of a line that passes through the origin. In this case:

d matches the y-axis

t matches the x-axis.

So:

[tex]y=m x \rightarrow d=v t[/tex]

[tex]Where:[/tex]

[tex]\begin{aligned}& y \rightarrow d \\& m v \rightarrow v\end{aligned}[/tex]

[tex]x \rightarrow t[/tex]

The graph below (Car A) comes from the following equation:

[tex]y=\frac{5}{3} x[/tex]

And the equation for car B is:

[tex]y=\frac{5}{6} x[/tex]

By comparing them, car A moves faster than car B because:

[tex]\frac{5}{3} > \frac{5}{6}[/tex]

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Answer:

Step-by-step explanation:

y = -5 (x² + 1 - 2x) + 5

y = -5x² + 10x - 5 + 5

y = -5x² + 10x

maximum height = y coordinate of the vertex of the parabola

x = -10/-10

x = 1

y = -5 (1)² + 10 (1)

y = -5 + 10

y = 5

5 meters

b) the x coordinate of the vertex is 1

1 meter

c) since the term without x is 0, the ball was kicked from the ground

0 meters

d) we have to find the x-intercept

-5x² + 10x = 0

-5/-5 x² + 10/-5 x = 0/-5

x² - 2x = 0

x(x-2) = 0

x = 0

x = 2

2 meters

The percentage score for a 71 on the test is 27, and the winning score is 71.

The science of statistics focuses on creating and researching strategies for gathering, evaluating, interpreting, and reporting empirical data.

As per the given information in the question,

The given scores are:

5, 4, 66, 70, 71, 75, 77, 80, 84, 85, 87, 90, 93, 95, and 96.

A percentage is a number in a range of one to 100 that represents the percentage of a range that falls inside or above it.

Formula for calculating percentile rank on a test score of 71,

R₁₀₀ = [100(N <) + 1/2]/N

=100 × 4 + 1/2(1)/15

=400 + 0.5/15

=400.5/15

=26.7=27th

Now we need to find the score of victor who has 60th percentile.

60 = Score/15

Score = 71

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d) [tex]\frac{48y^{10} }{x^{9} }[/tex] is the answer to your question

Exponents:

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The coordinates of the recycle bin will be = ( -1, 2.5 )

According to the information given in the question,

The coordinates of the vertices of the park are,

( 1, 1 ), ( 1, 4 ), and ( -3, 4 )

We have to find the coordinates of the recycle bin.

Let us consider the equation of the circle,

[tex]x^{2} +y^{2}+Dx + Ey+ F =0[/tex]

So putting the values of the coordinates into the equation,

First Equation,

[tex]1^{2}+1^{2} + D + E + F = 0[/tex]

Second Equation,

[tex]1^{2} +4^{2} +D + 4E + F=0[/tex]

Third Equation,

[tex](-3)^{2} + 4^{2} - 3D+4E+F=0[/tex]

Subtracting the first equation from the second,

[tex]1^{2} +4^{2} +D + 4E -E=0[/tex]

15 + 3E = 0

3E = -15

E = -5

Subtracting the third equation from the second,

1 + 16 - 9 - 16 + D + 3D = 0

4D = 8

D = 2

Putting the values of E and D in the first equation,

1 + 1 + D + E + F = 0

F = -2 - D - E

F = 1

So now the equation of the circle becomes,

[tex]x^{2} +y^{2}+2x - 5y+ 1 =0[/tex]

By expanding the above equation we can find the standard equation,

[tex]x+2x+1^{2} +y^{2} -5y+ 2.5^{2}- 1^{2} -2.5^{2} +1 =0[/tex]

[tex](x+1)^{2} + (y - 2.5)^{2} = 1^{2} + 2.5^{2} -1[/tex]

[tex](x+1)^{2} + (y - 2.5)^{2} = 2.5^{2}[/tex]

So the required circumcenter will be = ( -1, 2.5 )

Therefore, the coordinates of the recycle bin will be = ( -1, 2.5 )

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A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1,4), and (-3,4). The city planner wants to put recycling bins at the circumcenter of the park. What are the coordinates of the recycling bins?

There will be a total of 720 4- permutations of a set of six objects. And there will be a total of 72 2- permutations of a set of nine objects.

The calculation for 4-permutations of a set containing six objects

P(6,4)! = 6! / (6-4)1

P(6,4)! = 6×5×4×3x2

P(6,4)! = 720

Therefore, there will be a total of 720 permutations.

The calculation for 2- permutation of a set containing 9 objects

P(9,2)! = (9,7)! = (9-2) = 9! / 7!

P(9,2)! = 9×8x7! / 7!

P(9,2)! = 72

Therefore, there will be a total of 72 permutations.

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The distance between the library and the school using the coordinates plane is 7.28 miles.

A coordinate plane is a two-dimensional plane which is formed by the intersection of two number lines - a horizontal number line called the x-axis and is a vertical number line called the y-axis. It is a graphing and description system for points and lines. On the provided coordinate plane, the coordinate of the library is (-3,3) and the coordinate of the school is (4, 1).

The distance formula between two coordinates is given by:

d =√((x2 – x1)^2 + (y2 - y1)^2)

Using the distance formula, the distance between the library and the school are:

d =√((-3 – 4)^2 + (3 - 1)^2)

d =√((-7)^2 + (2)^2)

d =√((-7)^2 + (2)^2)

d =√(49 + 4)

d =√53

d = 7.28 miles

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As per the impact of reducing the tolerable rate of deviation from 7% to 5% on the sample size is 93.

The term deviation is defined as a measure that is used to find the difference between the observed value and the expected value of a variable.

Here we have given that the audit team is planning to examine a sample of control policies and procedures. assume that, based on the intended degree of reliance on internal control, the audit team wishes to control the risk of overreliance to 5%.

And we need to find sample size.

While we looking into the given question, we know that the tolerable rate of deviation from 7% to 5% on the sample size.

Let us consider that 100 be the sample size, then the reduction in 7% to 5%, tell that there is an 2% decrement in the sample size.

Therefore, it can be calculated as,

=> 100 x 2/100

=> 2

Here we already know that the risk of overreliance to 5%.

Then the total value is

=> 5 + 2 = 7.

Then the sample size is

=> 100 - 7

=> 93.

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Answer:

125°

Step-by-step explanation:

the given problem is related to co-interior angle

so.

Answer:

–27

Step-by-step explanation:

f(x) = 2x² + 9x

f(–3) = 2(–3)² + 9(–3)

= 2(9) + –27

= 18 – 27

= –9

since p= f(–3) = –9

3p = 3 × – 9 = –27

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The term that represents the situation shown in the graphic below is B. a reflection

A glide reflection or transflection is a symmetry operation in two-dimensional geometry that combines a reflection over a line with a translation along that line into a single operation.

An exchange of points from one side of a line with points on the other side of the mirror at the same distance from the mirror occurs when a mirror line is fixed in the plane. There is a mirror line in every reflection. A mirror reflection is followed by a translation that is parallel to the mirror to create a glide reflection.

Here, the shape is mirrored in the reflection. A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to reflect the other figure when they are all equally spaced apart from one another.

In conclusion, based on the information given, it should be noted that the correct option is B.

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2x - 3 > 1

x represents an integer and 3 is less than twice an integer which is 2x. So it's 2x - 3.

2x - 3 is greater than 1.

So therefore, the answer is 2x - 3 > 1

Answer:

2x-3>1

Step-by-step explanation:

lets say x is the interger

so twice an interger would be 2*x or 2x

and three less than that would be 2x-3

and 2x-3 is greater than one

so, 2x-3>1

Answer:

Below

Step-by-step explanation:

1 2 and 3 do not pass the vertical line test because you can draw a vertical line that will cross the graph two times

Answer:

The number of downloads of the standard version is 230.

Step-by-step explanation:

Let x be the number of downloads of the standard version.

The number of downloads of the high-quality version is 4x.

The total size downloaded for the standard version is 2.8x MB.

The total size downloaded for the high-quality version is 4.3(4x) = 17.2x MB.

The total size downloaded for both versions is 2.8x + 17.2x = 4600 MB.

Combining like terms, we have 20x = 4600 MB.

Dividing both sides by 20, we have x = 230 downloads of the standard version

Answer:

The answer is below; I have put the equation and graphed it!

Step-by-step explanation:

Answer:

a=6/15

Step-by-step explanation:

19a-6=4a

(19-4)a=6

a=6/15

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Answer:

a= 2/5 =0.4

Step-by-step explanation:

19a−6=4a

Subtract 4a from both sides.

19a−6−4a=0

Combine 19a and −4a to get 15a.

15a−6=0

Add 6 to both sides. Anything plus zero gives itself.

15a=6

Divide both sides by 15.

a= 6/15

​

Reduce the fraction  6/15 to lowest terms by extracting and canceling out 3.

a=2/5

The largest number is 20 .

What is largest ?

There is a big number—a googolplex—that exists. It consists of 1 and 10100 zeros (googol). A googolduplex, which is an even larger number, is also present. It is 1 and over a googol zeros after that.

Let 'n' be any number, odd or even.

2n will always be even number. This is because, 2n has 2 as common factor. So, 2n is always even.

Eg: 2= 2×1, n=1 ; 4=2×2, n=2 etc

Numbers are even, consecutive.

Consecutive even numbers are 2n-2, 2n, 2n+2,

Eg : For consecutive even numbers, put n=2

2n-2=4-2=2

2n=4

2n+2 =4+2=6,

we get 2,4,6 which are consecutive even nos.

So, numbers are 2n-2, 2n and 2n+2

Their sum= 2n+2+2n+2n-2=6n

Sum=54

6n=54

n=54/6=9

So, n=9

Consecutive numbers are

2n-2= (2×9)-2=16

2n=2×9=18

2n+2=18+2=20.

So, numbers are 16, 18, 20. Their sum is 54.

The largest number is 20

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Answer: Y=-2x-5

Step-by-step explanation:

Points: (-4, 3) & (-3, 1)

To find the slope, we use m= (y₂-y₁)/(x₂-x₁)

With these points, m= (1-3)/(-3--4)

This gives us m= -2/1, or -2

Slope-intercept form is y=mx+b

We can plug in the slope now, so y=-2x+b

B is the y-intercept, which is -5, in this case

This gives us y=-2x-5

Answer:

p = 19

x = 64

y = 100

Step-by-step explanation:

114 = 6p

Divide by 6 into both sides

p = 19

x/4 = 16

Times 4 into both sides

x = 64

75 = y - 25

Add 25 to both sides

y = 100

Step-by-step explanation:

Let the larger angle be x.

Smaller angle = x - 8

As both angles are supplementary,

x + (x - 8) = 180°

2x - 8 = 180°

2x = 188°

x = 94°

Therefore, larger angle = 94°

Smaller angle = 94° - 8° = 86°

Some of the coordinates on the graph are (0, -15), (1, -13), (2, -11).

The graph of the equation is given below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of the equation y + 7 = 2 (x - 4).

y + 7 = 2 (x - 4)

y = 2(x - 4) - 7

y = 2x - 8 - 7

y = 2x - 15

For x = 0,

y = - 15

(0, -15)

For x = 1,

y = 2 - 15 = -13

(1, -13)

For x = 2,

y = 4 - 15 = -11

(2, -11)

And so on...

Thus,

The graph of the equation is given below.

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Answer:

48

Step-by-step explanation:

Let T be the number of texts sent on each plan.

The cost of Plan A can be represented as $9.25 + $0.06T.

The cost of Plan B can be represented as $2.50 + $0.20T.

We want to find the number of texts T at which the two plans cost the same amount. Therefore, we can set the two equations equal to each other and solve for T:

$9.25 + $0.06T = $2.50 + $0.20T

Subtracting $2.50 from both sides, we get:

$6.75 + $0.06T = $0.20T

Subtracting $0.06T from both sides, we get:

$6.75 = $0.14T

Dividing both sides by $0.14, we get:

T = 48.21

Therefore, the number of texts at which the two plans cost the same amount is approximately 48 texts. This means that if you send fewer than 48 texts per month, Plan A will be cheaper, and if you send more than 48 texts per month, Plan B will be cheaper.

The area of the square is bigger than the Area of the rectangle.

Suppose the sum of all the sides in a square is this: 4 x A and the same is true of a rectangle, too.

Then, first, the area of the square is A^2.

And next, assuming that we have this: 0 < X < A and that one side in the rectangle is this: (A - X)

we can say that the side next to (A - X) is this: (A + X) because the sum of all the four sides in the rectangle has to be this: (4 x A), which equals the sum of all the sides in the square.

So now, the area of the square is this: A^2, whereas the area of the rectangle is this: (A^2 - X^2), which equals this: (A + X)(A - X).

You know thus now, which of the two areas is bigger, and it’s the area of the square. And the difference between the two areas is this: X^2.

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The height of the 5th player would be 69 inches

To find the Height, first, we have to calculate the mean value.

No. of players=5

The height of 4 players is 60 inches, 67 inches, and 64 inches, 65 inches.

Mean =Sum of observations/No of observations

Mean of the  5th players=65

To find, Height of 5th player

As we know,

Assuming the height of the 5th player is x

Mean =Sum of observations/No of observations

65=(60+67+64+65+x)/5

65*5=60+67+64+65+x

325=256+x

x=69

Thus, the height of the 5th player is 69 inches.

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Answer:

110 degrees

Step-by-step explanation:

This is because they are alternate exterior angles

So they are the same angle

The data is A. periodic with period of 3 and amplitude of about 7.5

From the information, we are given the number of hours as well as the number of bikes. It should be noted that we can see that ty values are periodic as it repeats every third value.

Also, the amplitude will be the:

= Larger value - Smallest value / 3

For the first set it is 7.

For the second set it is 7.5

For the third set it is 8

For the fourth set it is:

= (20 - 5)/2

= 7.5

Therefore, the amplitude is 7.5

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Answer:100x * 65

Step-by-step explanation:

distribute the 50 into 20 and 1.3 then set it up

The function is actually (0,-3)(2,4)

Slope:

slope = y2-y1  = 4-(-3) = 7/2

            x2-x1      2-0

y intercept: (0,-3)

let x as the total sales

26 250 = 14 250 + 0.06x

26 250 - 14 250 = 14 250 - 14 250 + 0.06x  (subtract 14 250 both sides)

12 000 = 0.06x

x = 200 000

26 250 = 14 250 + 0.06(200 000)

26 250 = 14 250 + 12 000

26 250 = 26 250

Therefore, Peter have total sales of RS 200 000.

Step-by-step explanation: