A trader received a commission of 12. 5 on sales made in a month. His commission was GHC 35,000. 0. Find his total sales for the month

Concurrent line segments are those that cross at least three other line segments at the same location.

Concurrent line segments are those that cross at least three other line segments at the same location. In geometry, if two lines intersect at a single point in a plane or higher-dimensional space, they are said to be concurrent. In contrast to parallel lines, they exist. Concurrent lines are those that cross more than one line at the same time through a single point in a plane. The point of concurrency is a location that each of those lines shares. Triangles provide another example where this concurrency characteristic can be observed.

Here,

Concurrent line segments are those where three or more line segments cross each other at the same location.

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We can repeat this calculation for other values of x and compare the total costs to find the minimum.

By evaluating the costs for different values of x, we can determine the least-cost number of crews the city should assign to collect recyclables.

To determine the least-cost number of crews the city should assign to collect recyclables, we need to consider the cost of operating the crews and the cost of using an outside contractor.

Let's denote the number of crews assigned to collect recyclables as "x."

The cost of operating the crews for one working day is given by:

Cost_internal = x * 1000

The cost of using the outside contractor to collect the remaining recyclables is:

Cost_contractor = (30 - 5x) * 750

The total cost is the sum of the two costs:

Total_cost = Cost_internal + Cost_contractor

To minimize the cost, we can differentiate the total cost with respect to "x" and set the derivative equal to zero:

d(Total_cost)/dx = 0

Let's calculate the derivative and solve for "x":

d(Total_cost)/dx = d(Cost_internal)/dx + d(Cost_contractor)/dx

Since d(Cost_internal)/dx = 1000 and d(Cost_contractor)/dx = -750, the equation becomes:

1000 - 750 = 0

250 = 0

This equation is not possible, as it implies 250 = 0, which is not true.

Since there is no solution to d(Total_cost)/dx = 0, we need to evaluate the cost at critical points. The critical points occur when the number of crews changes, which is at integer values of "x."

We can evaluate the cost for x = 1, 2, 3, and so on, and compare the costs to find the least-cost option. We calculate the total cost for each x value and select the value that results in the lowest cost.

For example, when x = 1:

Cost_internal = 1 * 1000 = 1000

Cost_contractor = (30 - 5 * 1) * 750 = 22500

Total_cost = 1000 + 22500 = 23500

We can repeat this calculation for other values of x and compare the total costs to find the minimum.

By evaluating the costs for different values of x, we can determine the least-cost number of crews the city should assign to collect recyclables.

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Answer:

A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.

Step-by-step explanation:

Answer:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Step-by-step explanation:

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10 sec as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.

Answer:

x = 3

Step-by-step explanation:

2(x+4) + 2 = 5x + 1

2x + 8 + 2 = 5x + 1

2x + 10 = 5x + 1

-3x + 10 = 1

-3x = -9

x = 3

To solve for x, we need to simplify the equation and isolate the variable. Let's proceed with the given equation:

2(x + 4) + 2 = 5x + 1

First, distribute the 2 to the terms inside the parentheses:

2x + 8 + 2 = 5x + 1

Combine like terms on the left side:

2x + 10 = 5x + 1

Next, let's move all terms containing x to one side of the equation and the constant terms to the other side. We can do this by subtracting 2x from both sides:

2x - 2x + 10 = 5x - 2x + 1

Simplifying further:

10 = 3x + 1

To isolate the x term, subtract 1 from both sides:

10 - 1 = 3x + 1 - 1

9 = 3x

Finally, divide both sides of the equation by 3 to solve for x:

9/3 = 3x/3

3 = ×

Therefore, the solution to the equation is x = 3.

Answer: Relative frequency and probability are similar terms and the answer to both of them are the same. What I mean is that, even if the question asks for probability or relative frequency, the answer will remain the same. The basic difference is that relative frequency is used when probability is being estimated using the outcomes of an experiment or trial, when theoretical probability cannot be used.
We can write the probability in the help of a normal formula,

P(A) is the probability of an event “A” n(B) is the number of favorable outcomes. n(S) is the total number of events in the sample space.

One more thing you might need to know is that, in probability, and means multiplication and or means addition.
And = multiplication
Or = addtion

So from the above equation, n(S) , the total number " 10 + 7 + 3" is 20.

i) 2/20 and in simplified terms, 1/10
ii) 7/20 * 3/20 = 21/400
iii) 1/20
iv) 13/20

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    hope it helped
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Answer:

How are you? 1

Step-by-step explanation:

Therefore, the principal is $654.50 when rate of interest is 10% and time period is 16 months.

Percent is a way of expressing a number as a fraction of 100. It is denoted by the symbol "%". Percentages are commonly used to express ratios, proportions, and rates. They are used in many areas of everyday life, such as in finance, business, and statistics.

Here,

The Interest Formula is:

I = P * R * T

where I is the interest earned, P is the principal (initial amount of money), R is the interest rate, and T is the time period.

We can rearrange the formula to solve for P:

P = I / (R * T)

Substituting the given values, we have:

P = 1047.20 / (0.10 * 16)

= $654.50

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a) If function is 4x^3 - 3kx^2 - 18x + 7, the value of k is 61/9.

b) The points on the curve y = x^4 where the normal has a slope of 16 are (2, 16) and (-2, 16).

a) To find the value of k, we can use the fact that the function has a minimum when x = 3. This means that g'(3) = 0 and g''(3) > 0. Taking the derivative of g(x), we get:

g'(x) = 4x^3 - 3kx^2 - 18x + 7

Setting x = 3 and g'(3) = 0, we have:

0 = 4(3)^3 - 3k(3)^2 - 18(3) + 7

0 = 108 - 9k - 54 + 7

9k = 61

k = 61/9

b) To find the point on the curve y = x^4 that has a normal with a slope of 16, we first need to find the equation of the normal at a generic point (x, y). The slope of the tangent line at that point is given by the derivative of y with respect to x:

y' = 4x^3

So the slope of the normal line at that point is the negative reciprocal of y':

m = -1/y' = -1/(4x^3)

Thus, the equation of the normal at (x, y) is:

y - x^4 = (-1/(4x^3))(x - x) = 0

Simplifying, we have:

y = x^4

So the point on the curve where the normal has a slope of 16 is where x^4 = 16. Solving for x, we get:

x = ±2

Plugging this value of x into the equation of the curve, we find the corresponding points:

(2, 16) and (-2, 16)

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Answer:

to do this you need to Multiply 14 by 6 to satisfy the fact she has 6 times the amount of milk for 14 teaspoons of rennet

The required arc length of sector VW is 8\(\pi\).

Given that, in a circle U, radius  UV = 9 and  central angle of sector m∠VUW = 160°.

To find the arc length of sector VW, we can use the formula:

Arc length = (central angle / 360) x circumference of the circle.

First,  find the circumference of the circle by the  formula for the circumference of a circle is given by:

Circumference = 2 x \(\pi\) x radius.

Circumference = 2 x \(\pi\) x 9 = 18π.

Now, let's find the arc length of sector VW using the central angle of 160 degrees:

Arc length = (160/360) x 18π

Arc length = (4/9) * 18\(\pi\) = 8\(\pi\).

Therefore, the arc length of sector VW is 8\(\pi\).

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Answer:

8.5 repeating

Step-by-step explanation:

−8(−2x+4)+2x=122

(−8)(−2x)+(−8)(4)+2x=122

16x+−32+2x=122

(16x+2x)+(−32)=122

18x+−32=122

18x−32=122

18x−32+32=122+32

18x=154

154/18=8.5 repeating

The perimeter of the regular polygon is approximately 43.5 m, and the area is approximately 110.4 m².

We have,

To find the perimeter and area of a regular polygon with 8 sides and a radius of 7 m, we can use the following formulas:

Perimeter of a regular polygon: P = 2 x n x r x sin(π/n)

Area of a regular polygon: A = (n x r² x sin(2π/n)) / 2

Where:

n is the number of sides of the polygon

r is the radius of the polygon

Substituting the given values:

n = 8 (number of sides)

r = 7 m (radius)

The perimeter of the polygon:

P = 2 x 8 x 7 x sin(π/8)

Area of the polygon:

A = (8 x 7² x sin(2π/8)) / 2

Now, let's calculate the values:

P = 2 x 8 x 7 x sin(π/8) ≈ 43.5 m (rounded to the nearest tenth)

A = (8 x 7² x sin(2π/8)) / 2 ≈ 110.4 m² (rounded to the nearest tenth)

Therefore,

The perimeter of the regular polygon is approximately 43.5 m, and the area is approximately 110.4 m².

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Answer:

#1  4) D

#2 4) D

#3 1) A

Step-by-step explanation:

#1 The opposite of -4 is 4, which represents point D.

#2 Rewrite each choice. || means absolute value, the number inside must be converted to positive.

A. -42, 15, 21, 34, 28

B. -42, 34, 15, 21, 28

C. 34, 28, 21, 15, -42

D. -42, 15, 21, 28, 34

Only choice D was in order from least to greatest.

#3 (3,-2) means that x is 3, y is -2.

Option(2) 4 / sqrt(41)  is the value of cos(θ) when point P(4,5) lies on the terminal side of angle C.

To find the value of cos(θ), we need to determine the coordinates of the point P(4,5) on the unit circle.

Let's assume that angle C is in standard position, which means its vertex is at the origin (0,0) and its initial side lies along the positive x-axis. Since point P(4,5) lies on the terminal side of angle C, we can find the length of the hypotenuse and use it to calculate the value of cos(θ).

Using the Pythagorean theorem, we can determine the length of the hypotenuse (r) as follows:

r = sqrt(x^2 + y^2)

= sqrt(4^2 + 5^2)

= sqrt(16 + 25)

= sqrt(41)

Now that we have the length of the hypotenuse, we can calculate the value of cos(θ) using the formula:

cos(θ) = x / r

In this case, x = 4 and r = sqrt(41), so we have:

cos(θ) = 4 / sqrt(41)

This is the value of cos(θ) when point P(4,5) lies on the terminal side of angle C.

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Answer:

67

Step-by-step explanation:

The parameter to be tested is the mean GPA of all university honors students

What is GPA ?

The technique of using uniform metrics for various levels of performance in a course is known as grading in education. Grades can be given as letters, a range, a percentage, or a number as a percentage of the total possible. A grade point average is calculated by averaging grades in several nations.

Your grade point average (GPA) is calculated by dividing the total number of credits you have earned in high school by the sum of all of your course grades. The majority of colleges and secondary schools use a 4.0 scale to report grades. A perfect score, or an A, is a 4.0. Here is a straightforward graphic that demonstrates how to translate your letter grades into a 4.0 scale.

The parameter to be tested is the mean GPA of all university honors student

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y=2x-1

or

y=2x+(-1)

hope this helps:)

The required perimeter of the flower garden is 52 meters.

A closed route that encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's diameter is referred to as its perimeter. There are numerous uses in real life for circle calculations.

The length of the garden is given as 5a meters, and the width is 3b meters. We know that a = 4 and b = a/2.

Substituting the values of a and b in the given expression, we get:

Length of the garden = 5a = 5(4) = 20 meters

Width of the garden = 3b = 3(a/2) = 3(2) = 6 meters

The perimeter of a rectangle is given by the formula:

Perimeter = 2 (length + width)

Substituting the values of length and width in the above formula, we get:

Perimeter = 2 (20 + 6) = 2 (26) = 52 meters

Therefore, the perimeter of the flower garden is 52 meters.

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The x is a specific value that the variable can take on.

A random variable is a variable that has a numerical value, which is determined by the result of a random experiment. The numerical value is determined by a set of probabilities, which are associated with each possible outcome of the experiment. Random variables can be classified as discrete or continuous, depending on the type of outcomes that they can have. Examples of random variables include the number of heads in a series of coin tosses, the time until a traffic light changes from red to green, and the height of a randomly selected person.The randomness of a random variable comes from the fact that the outcome of the experiment that it represents is uncertain. The uncertainty arises because the experiment is subject to the effects of chance, rather than being completely determined by fixed physical laws or other deterministic factors. Because of this, it is not possible to predict with certainty what the value of a random variable will be, even if we know the probabilities associated with each possible outcome.There are many different notations that can be used to represent random variables, depending on the context and the preferences of the person using the notation. Some of the most common notations include X, Y, and Z, as well as Greek letters such as µ, σ, and ρ. When a random variable is discrete, it is often represented using a probability mass function, which is denoted by P(X=x), where x is a specific value that the variable can take on. When a random variable is continuous, it is often represented using a probability density function, which is denoted by f(x), where x is a specific value that the variable can take on.

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Answer:

40 squared cm

Step-by-step explanation:

The formula for this shape would be

A=bh

This is the same as a rectangle because it is technically a rectangle, don't get confused by the triangle.

Imagine that you can cut this shape, so cut where the dotted line is, put it on the opposite side, and you get a rectangle.

------

So:

10 × 4 = 40

-----

Have a good day :)

T is the linear transformation described by T(w,z) in L(C2). This indicates that the linear transformation T changes two-dimensional vectors of the type (w,z) to (-z,w).

To get T's eigenvalues, solve the equation T(v) = v, where is the eigenvalue and v is the eigenvector. By solving this equation, we discover that T's eigenvalues are λ1 = -1 and λ2 = 1.

For each eigenvalue, the associated eigenspaces are the subspaces of C2 that are spanned by the eigenvectors of T. The eigenspace is the subspace covered by the eigenvector λ1= -1 is (1,0). The eigenspace is the subspace spanned by the eigenvector λ2= 1 is (0,1).

As a result, the subspaces covered by (1,0) and (1,1) are the generalized eigenspaces corresponding to the different eigenvalues of T. (0,1).

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(a) Probability that next year rainfall will exceed 40 inches is 0.3156.

(b) Probability that in exactly 3 of next 6-years will exceed 40 inches is 0.2015.

Part (a) : To find the probability that next year's rainfall will exceed 40 inches, we calculate the probability of normal random-variable being greater than 40.

First, we standardize the variable by converting it into standard normal distribution with mean of 36 and

The standard-deviation is √70 inches ≈ 8.37 inches,

The standardized variable Z is : (X - μ)/σ,

where X = value we want to standardize, μ = mean, and σ = standard deviation,

Substituting the values,

We get,

Z = (40 - 36)/8.37 ≈ 0.48,

The probability can be calculated as P(Z > 0.48) = 1 - P(Z < 0.48),

= 1 - 0.6844

= 0.3156,

So, probability of next year's rainfall exceeding 40 inches is 0.3156.

Part (b) : The sample-size "n" is = 6,

The probability of exactly in 3 years "rain-fall" exceeds 40 inches is represented as : P(X = 3),

So, P(X = 3) = ⁶C₃× (0.3156)³ × (1 - 0.3156)⁶⁻³,

= 0.2015,

Therefore, the required probability is 0.2015.

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The time complexity of the given code is O(n^3) or cubic complexity. This is because there are three nested loops that iterate over the range from 1 to n, resulting in a cubic relationship between the input size and the number of operations.

The code contains three nested loops. The outermost loop iterates from 1 to n, resulting in n iterations. The second loop is nested inside the outermost loop and also iterates from i to n, resulting in an average of n/2 iterations. The innermost loop is nested inside both the outermost and second loops and iterates from j+1 to n, resulting in an average of (n-j) iterations.

Considering all three loops together, the total number of iterations can be calculated as the product of the number of iterations in each loop. Thus, the time complexity is given by:

n * (n/2) * (n-j)

Simplifying this expression, we get:

(n^3)/2 - (n^2)/2

However, when analyzing time complexity, we focus on the dominant term, which is the term with the highest power of n. In this case, it is (n^3). Therefore, we can conclude that the time complexity of the code is O(n^3), or cubic complexity.

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Answer:

his total bill would be 698.75

Step-by-step explanation

you only did half of the problem lol.

48.75 is just the sales tax. to get the total bill, you need to add 650 to 48.75 because 650 is the actual price of the TV

hope this helps :)

Answer:

This is an percentage change question to calculate this, simply:

7.5% * 650 is 48.75 (You are correct here)

But the question

asks for) "Jackson' total bill) therefore its 48.75 + 650 = 698.75

Cheers! :)

Seth must attend the move 17 times

The difference in price of matinee is

= price of matinee normally - price of matinee with movie pass

=  3.50 - 1

= 2.5

We divide to find the number of times

= 40 / 2.5

= 16

In other that Seth's father benefits Seth must attend at least 17 times

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An equation that represents the total cost of adopting and caring for the puppy for x months is: y = 32x + 250

Algebraic word problems are defined as problems that require you to convert a sentence into an equation and solve that equation. The equations that need to be written contain only basic arithmetic. and a single variable. In a real-life scenario, variables usually represent unknown quantities.

We are given the parameters as:

Total amount paid for adopting puppy = $250

Monthly amount for feeding and caring for the puppy = $32.

The formula for the equation of a line in slope intercept form is:

y = mx + c

Thus:

An equation that represents the total cost of adopting and caring for the puppy for x months is:

y = 32x + 250

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Answer:

The values of x that make the triangles congruent.

x = 6 and x = 3

Step-by-step explanation:

Given

Given that the triangles are congruent.

According to the SAS (Side-Side-Side)

AC = DC

AB = DB

so

AC = DC

substituting AC = 5x-2 and DC = 3x+10

5x-2 = 3x+10

5x-3x = 10+2

2x = 12

divide both sides by 2

2x/2 = 12/2

x = 6

and

AB = DB

substituting AB = 5x and DB = 4x+3

5x = 4x+3

5x-4x = 3

x = 3

Therefore, the values of x that make the triangles congruent.

x = 6 and x = 3

The term that describes jellyfish skeletons formed by fluid-filled compartments is hydrostatic skeletons.

Hydrostatic skeletons are a type of skeletal system found in certain invertebrates, including jellyfish. These skeletons rely on the pressure of fluid within the body to provide support and maintain the body structure. In jellyfish, the fluid-filled compartments act as a hydrostatic skeleton, resisting compression and preventing the body from collapsing or deforming. This enables jellyfish to maintain their shape and move through the water with flexibility. By adjusting the internal pressure of the fluid-filled compartments, jellyfish can control their buoyancy and movement. Hydrostatic skeletons are advantageous for organisms that live in aquatic environments, allowing for efficient locomotion and adaptation to varying water conditions.

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The probability that a student will get exactly 13 questions right is 0.003.

Let E be an event that student gives 13 right answers.

According to the given question.

An exam contain total number of questions is 15.

Now,

The probability that a student gives a right answer, p = 1/2 = 0.5

And, the probability that a student gives a wrong answer, q = 1 - 1/2 = 1/2 = 0.5

Therefore,

The probability that a student will get exactly 13 questions right is given by

⇒ P(E) = C(15, 13) p^(13)q^(15 - 13)

⇒ P(E) = (15!/13!2!)(0.5)^13(0.5)^2

⇒ P(E) = (15(14)/2 ) ×  ( 0.00012) × 0.25

⇒ P(E) = 105 × 0.00012 × 0.25

⇒ P(E) = 0.00315

Hence, the probability that a student will get exactly 13 questions right is 0.003.

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We will have a Deficit balance of $30 at the end of the month.

"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Therefore, We will have a Deficit balance of $30 at the end of the month.

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