calculate the effective rate (APY) of interest for 1
year. (round your final answer to the neareast hundreth
percent)
principal = 18,000
interest rate : 20%
compound quarterly

Answer:

The slope of a vertical line is undefined. The slope of a horizontal line is 0

Step-by-step explanation:

Slope is rise/run

and the rise of a horizontal line is zero since it neither increases nor decreases; therefore, the slope is zero. while a vertical line has undefined slope since it does not run horizontally because division by zero is an undefined operation.

Answer:

c = 240

Step-by-step explanation:

Using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\)

Then

\((a^{40}) ^{6}\)

= \(a^{40(6)}\) = \(a^{240}\)

Answer:

f(5) = -3

Step-by-step explanation:

f(x) = -2x + 7

f(5) = -2(5) + 7

f(5) = -10 + 7

f(5) = -3

The value of the function at x  = 5 will be equal to f(5) = -3

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given that the function is f(x) = -2x + 7. The value of the function at x=5 will be calculated as,

f(x) = -2x + 7

f(5) = -2(5) + 7

f(5) = -10 + 7

f(5) = -3

Therefore, the value of the function at x  = 5 will be equal to f(5) = -3.

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Answer:

The answer should be about 114.

Step-by-step explanation:

Of you look at the shape of the other angles. B and D seem to be about 90 and the shape of A is just a little bit bigger than ninety. I started by adding 78, 90, and 90 together which gave me 246. Then I subtracted 246 from 360 which gave me 114. I had estimated the answer to be around 110.

For the probability of any particular event occurring is 7 /10 then odds of favoring the event which is not occurring in the form of a: b is equal to

7 : 3.

As given in the question,

Probability of any particular event occurring is equal to 7 /10

Probability of any particular event not occurring is = 1- (7/10)

                                                                                    = (10 -7) /10

                                                                                    = 3/10

Probability of the odds favoring the events which are not occurring

= (7 /10) / (3/10)

= ( 7 × 10) / (3 × 10)

= 7 /3

Odds favoring the events which are not occurring in the form a: b

= 7 : 3

Therefore, for the probability of any particular event occurring is 7 /10 then odds of favoring the event which is not occurring in the form of a: b is equal to 7 : 3.

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Answer:

2.25USD$ Per Student

Step-by-step explanation:

Please mark me brainliest :) I need it to rank up :)

Answer:

is there a picture

Step-by-step explanation:

Answer:b

Step-by-step explanation:did it

The probability that at least one out of 8 randomly selected students earned a B- or better in the course is 1 - (1 - x)^8.

I understand that you want to find the probability that at least one out of 8 randomly selected students earned a B- or better in a course. To answer this question, we will use the complementary probability principle.
Find the probability of a single student earning a B- or better (P(B- or better)).
To do this, we need to know the percentage of students who earn a B- or better. Assuming this information is given or available, let's say the probability is x.
Find the probability of a single student not earning a B- or better (P(not B- or better)).
Since there are only two possible outcomes for each student (earning a B- or better, or not), we can find this probability by subtracting the probability of earning a B- or better from 1:
P(not B- or better) = 1 - P(B- or better) = 1 - x.
Find the probability that all 8 students do not earn a B- or better.
We can do this by multiplying the probabilities of each student not earning a B- or better:
P(all not B- or better) = (1 - x)^8.
Find the probability that at least one student earns a B- or better.
This is the complement of the probability that all 8 students do not earn a B- or better:
P(at least one B- or better) = 1 - P(all not B- or better) = 1 - (1 - x)^8.
So, the probability that at least one out of 8 randomly selected students earned a B- or better in the course is 1 - (1 - x)^8.

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Answer:

Step-by-step explanation:

Remark:

It looks to me like the transversal is drawn so that it bisects < L -- the part of L that is part of the red stop sign.

So the first job is find out how big is <L

The total of all angles of the stop sign can be found using

(#sides - 2) * 180

Sides = 8

(8 - 2)*180

6* 180 = 1080

Now the angle between two consecutive sides is 1080/8 = 135

Bisected the bisected angle becomes 135/2 = 67.5

I + L = 180                  The two angles rest on the same straight line.

L=67.5

I + 67.5 = 180             Subtract 67.5 from both sides.

Answer: 180 - 67.5 = 112.5

Answer:

e) What is the measure of ∠I? Explain. (1 point)

measure of angle l =same of angle e

because same side of the transversalare equal

Step-by-step explanation:

Answer:

Step-by-step explanation:

9

To find the area of an oblique triangle there are different formulae. The first formula to calculate the area of a triangle is area A = (1/2) * a * b * Sin(C), where a and b are the lengths of the two sides of the triangle and C is the value of the angle of the triangle that lies in between the two sides a, b.

It is the triangle that does not consider the right triangle. The formula for the area of an oblique triangle should be considered as the \(A = (1/2) \times a \times b \times Sin(C)\).

It is the triangle that does not consider as the right triangle. It could be treated as the acute triangle where all three angles should be lower than the right angles or at the same time.  

It should be an obtuse triangle where one of the three angles should be more than the right angle.

The above formula defines that

a and b are the two sides lengths of the triangle

and C is the value of the angle of the triangle.

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Answer: 6.78%

Step-by-step explanation:

You just add the 1.50% to the 5.28% to get 6.78%.

The value of  x of chord = 5

By definition of circle,

The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.

The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.

⇒ 6 (6 + x) = 7 (7 + 11)

Solve for x;

⇒ 36 + 6x = 7 × 18

⇒ 36 + 6x = 126

⇒ 6x = 126 - 36

⇒ 6x = 90

⇒ x = 15

Thus, The value of x = 5

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Complete question:

Kono divides The numerator and the denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step by what number does he divide

Answer:

2/3

Step-by-step explanation:

Given the number : 48 / 72

Obtain the greatest common factor of 48 and 72

- - - - 48 - - - - 72

- 2-- 24 - - - - 36

- 2 - 12 - - - - - 18

- 2 - 6 - - - - - - 9

- 3 - 2 - - - - - - 3

The greatest common factor of 48 and 72 is hence (2 * 2 * 2 * 3) = 24

Hence, divide both the numerator and denominator by 24 ;

Numerator = 48/24 = 2

Denominator = 72 / 24 = 3

= 2/3

To develop a three-sigma X Chart with a known mean of the means as 20 and an average range of 5, based on samples of size 10, the Lower Control Limit (LCL) can be calculated as 14.5.

The X Chart, also known as the individual or subgroup chart, is used to monitor the central tendency or average of a process. The control limits on an X Chart are typically set at three standard deviations above and below the mean.

To calculate the LCL of the X Chart, we need to subtract three times the standard deviation from the mean of the means. Since the average range (R-bar) is given as 5, we can estimate the standard deviation (sigma) using the formula sigma = R-bar / d2, where d2 is a constant value based on the sample size. For a sample size of 10, the value of d2 is approximately 2.704.

Now, we can calculate the standard deviation (sigma) as 5 / 2.704 ≈ 1.848. The LCL can be determined by subtracting three times the standard deviation from the mean of the means: LCL = 20 - (3 * 1.848) ≈ 14.5.

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Answer:

I'm not sure yet...but this is half of it

Step-by-step explanation:

7+2=9 360÷9=40

40×7=280

40×2=80

40×3=120-80=60

sorry...but hope that helps

The number of cards that Alvin buys from Jim will be 70 cards.

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

Jim and Alvin have a total of 360 pokemon cards. The ratio of the number of Jim's cards to the number of Alvin's cards is 7:2 Alvin buys some cards for Jim.

Let 'x' be the number of cards that Jim has and 'y' be the number of cards that Alvin has. Then the equations are given as,

x + y = 360          ...1

x / y = 7 / 2          ...2

From equations 1 and 2, then we have

x + [(2/7)x] = 360

(9/7)x = 360

x = 280

Then the number of cards that Alvin has will be given as,

y = 360 - 280

y = 80

The ratio of the number of Jim's cards to the number of Alvin's cards is now 7:5.

Let n be the number of cards given. Then the equation is given as,

(280 - n)(80 + n) = 7/5

560 + 7n = 1400 - 5n

12n = 840

n = 70

The number of cards that Alvin buys from Jim will be 70 cards.

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Option a. calculate a correlation coefficient is the right response because a correlation coefficient measures the strength and direction of the relationship between two interval level variables.

This is because a correlation coefficient measures the strength and direction of the relationship between two interval level variables. It provides a numerical value that ranges from -1 to 1, where -1 indicates a strong negative correlation, 0 indicates no correlation, and 1 indicates a strong positive correlation.

A scatter plot is also useful in visualizing the relationship between two variables, but it does not provide a numerical value like the correlation coefficient. A test of significance and variance calculation are not typically used as first steps in assessing the relationship between two variables.

Hence, option a. calculate a correlation coefficient is the correct answer.

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The vertex is the lowest/highest point, depending on if the parabola opens upwards or downwards.

So because the vertex opens upwards, we are looking for the lowest point which is at (2,-3).

Twice a number decreased by four is less than 8 is x< 6.

2x - 4 < 8

2x < 8 + 4

2x < 12

x < 12 / 2

x < 6

Inequality refers to the unequal distribution of resources, opportunities, and outcomes among individuals or groups in a society. It can manifest in various forms, including economic inequality, social inequality, gender inequality, and racial inequality. Economic inequality refers to the unequal distribution of wealth and income, where some individuals or groups have access to more resources and opportunities than others.

Social inequality refers to the unequal distribution of social status and power, which can lead to marginalized groups being excluded from certain societal benefits. Gender and racial inequality refer to the unequal treatment and opportunities that certain genders or races face in society. Inequality can have negative consequences on individuals and society, including lower levels of social trust, reduced economic growth, and increased social tensions.

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Complete Question: -

Twice a number decreased by four is less than 8 is equation or inequality

The light will travel 8 x\(10^{12}\) hm/month in a month.

To start with, we have to define the value of a hectometer. The question says that

a meter = 0.01 hectometer. This means that

a hectometer = 100 meter.

If the speed of light is 299,800,000 m/s, then converting to hectometer, we have the speed of light to be 2,998,000 hm/s

Going further, we are going to convert seconds to month.

1 minute = 60s

1hr = 60 min = 60 * 60 s = 3,600s

1 day = 24hrs = 3,600s * 24 = 86,400s

1 month = 31 days = 86,400 * 31 = 2,678,400s

this gotten value of  2,678,400 seconds is then multiplied by the hm/s we have earlier

2,998,000 * 2,678,400 = 8,029,843,200,00 hm/m or in standard form as

8 x\(10^{12}\) hm/m

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To solve a piecewise defined function, you should follow these steps:

1. Understand the definition of the function. A piecewise defined function is a function that is defined differently on different intervals of its domain.

2. Identify the different intervals on which the function is defined. These intervals are usually separated by vertical asymptotes, which are points where the function is undefined.

3. Determine the formula for the function on each interval. This is usually given in the problem statement, but if not, you will need to figure it out from the context.

4. Find the domain and range of each formula. The domain of a function is the set of all input values for which the function is defined, and the range is the set of all output values.

5. Determine any discontinuities in the function. These are points at which the function is defined differently on different intervals, and they will be vertical asymptotes.

6. Sketch the graph of the function by plotting points and connecting them with line segments.

7. If the function is a piecewise continuous function, Analyze it further by finding its limits, derivatives, integrals, or other properties of interest as you would with any other function.

8. Evaluate the function for a given input value, you need to determine which interval the input value belongs to and then use the appropriate formula for that interval to find the output value.

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The answer to the equation 6- x/3x = 3x/4 + 1/2 is

x= \(\frac{-5+ \sqrt{241} }{9}\) or x= \(\frac{-5 -\sqrt{241} }{9}\)

Quadratic equations are a type of polynomial equation because they consist of two or more algebraic terms

6- x/3x = 3x/4 + 1/2

Find the LCM (Lowest common Multiple) of the right hand side of the equation

6 - x/3x=  \(\frac{3x +2}{4}\)

cross multiply to find the value of x

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

Open the bracket

24 - 4x = \(9x^{2}\) + 6x

rearrange the equation

\(9x^{2}\)+6x +4x -24 =0

simplify the equation

\(9x^{2}\) + 10x -24 =0

then, solve the equation using quadratic formula

x= \(\frac{-b + or - \sqrt{b^{2} -4ac } }{2a}\)

Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

where a= 9, b= 10, c= -24

substitute the value of the variable into the the quadradic equation

x= \(\frac{-10 + or - \sqrt{10^{2 }-4(9)(-24)} }{2.9}\)

x= \(\frac{-10 + or - 2\sqrt{241} }{18}\)

solve for the unknown x by separating the equations: one with a plus and the other with a minus,

x= \(\frac{-10 + 2\sqrt{241} }{18}\)

x= \(\frac{-10 - 2\sqrt{241} }{18}\)

Therefore the value of x in the equation is ;x= \(\frac{-5+ \sqrt{241} }{9}\) or x= \(\frac{-5 -\sqrt{241} }{9}\)

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Answer:

b=1

Step-by-step explanation:

9 (b + 7)= 72

9b + 63= 72

9b=9

b=1

unless you want the value when you plug the b back in with out solving then its 9

Answer:

95 and 16/17

Step-by-step explanation:

Answer:

\(\frac{1631}{17}\)

Step-by-step explanation:

\(\frac{3262}{34}=\frac{1631*2}{17*2} =\frac{1631}{17}\)

1631 and 17 are the pair of prime numbers so that \(\frac{1631}{17}\) is the final solution.

Hope this helps!

Electric flux through the x = 0 face: E1, Electric flux through the x = L face: E2, Electric flux through the y = 0 face: E1 and Electric flux through the y = L face: E2.

To calculate the electric flux through the cube face in the plane x = 0, we need to determine the dot product of the electric field vector and the normal vector of the face.

For the face in the plane x = 0, the normal vector points in the positive x-direction, which is given by the unit vector i. Therefore, the dot product can be calculated as:

Electric flux through the x = 0 face = E1 * i · i = E1 * 1 = E1

Similarly, to calculate the electric flux through the cube face in the plane x = L, we need to calculate the dot product of the electric field vector and the normal vector of the face.

For the face in the plane x = L, the normal vector also points in the positive x-direction (i^). Therefore, the dot product can be calculated as:

Electric flux through the x = L face = E2 * i · i = E2 * 1 = E2

So the electric flux through the cube face in the plane x = 0 is E1, and the electric flux through the cube face in the plane x = L is E2.

Moving on to Part B, to calculate the electric flux through the cube face in the plane y = 0, we need to determine the dot product of the electric field vector and the normal vector of the face.

For the face in the plane y = 0, the normal vector points in the positive y-direction, which is given by the unit vector j. Therefore, the dot product can be calculated as:

Electric flux through the y = 0 face = E1 * j · j = E1 * 1 = E1

Similarly, to calculate the electric flux through the cube face in the plane y = L, we need to calculate the dot product of the electric field vector and the normal vector of the face.

For the face in the plane y = L, the normal vector also points in the positive y-direction (j). Therefore, the dot product can be calculated as:

Electric flux through the y = L face = E2 * j · j = E2 * 1 = E2

So the electric flux through the cube face in the plane y = 0 is E1, and the electric flux through the cube face in the plane y = L is E2.

In summary:

Electric flux through the x = 0 face: E1

Electric flux through the x = L face: E2

Electric flux through the y = 0 face: E1

Electric flux through the y = L face: E2

The expressions for the electric flux in terms of E1, E2, and L are E1, E2, E1, E2 respectively.

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Based on the given dimensions of the panel, the area of the panel is 39.6 square cm.

The panel is in the shape of a parallelogram.

A parallelogram is a convex quadrilateral in which each pair of opposite edges are parallel and of equal length.

Area of the parallelogram panel is the measure of the extent of a surface usually measured in square units.

Area of the parallelogram panel = base × height

Base = 5.5 cm

Height = 7.2 cm

Area of the parallelogram panel = base × height

= 5.5 cm × 7.2 cm

= 39.6 square cm

Therefore, the area of the parallelogram panel is 39.6 square cm

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Answer:

Step-by-step explanation:

(x-2)(2x+3)(x+1)

=x(2x+3)-2(2x+3)(x+1)

=(2x^2+3x-4x-6)(x-1)

=(2x^2-x-6)(x-1)

=2x^2(x-1)-x(x-1)-6(x-1)

=2x^3-2x^2-x^2+x-6x+6

=2x^3-3x^2-5x+6

( x - 2 )( x + 1 )( 2x + 3 ) =

( x^2 - x - 2 )( 2x + 3 ) =

2x^3 - 2x^2 - 4x + 3x^2 - 3x - 6 =

2x^3 + ( -2 + 3 )x^2 + ( - 4 - 3 )x - 6 =

2x^3 + x^2 - 7x - 6

To find the number of strands needed divide the total weight by the force.

680 / 50 = 13.6

Because the answer is not a whole number you would round up to the next whole number.

13.6 rounds up to 14

The number of strands needed would be 14.