The manager at gabrielas furniture store is trying to figure out how much to charge for a book shelf that just arrived.The book shelf was bought at a wholesale price of $147.00 and gabrielas furniture store marks up all furniture by 60%

The interest earned at the end of the month? round to the nearest cent answer is $6.62

What is the monthly interest that Laura earns per month:

The monthly interest that she earns on the deposit can be determined as the annual interest rate divided by 12

monthly interest rate=3.97%/12

monthly interest rate=0.00330833333333333

The interest earned on the deposit at the end of the month is deposit value multiplied by the monthly interest

interest at the end of the month=$2000*0.00330833333333333

interest at the end of the month=$ 6.62

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The volume of a sphere with a radius of 7 cm (or diameter of 12 cm) is 904.32 cubic centimeters.

To find the volume of a sphere with a radius of 7 cm, we can use the formula:

V = (4/3) * π * r^3

where V represents the volume and r represents the radius. However, you mentioned that the diameter of the sphere is 12 cm, so we need to adjust the radius accordingly.

The diameter of a sphere is twice the radius, so the radius of this sphere is 12 cm / 2 = 6 cm. Now we can calculate the volume using the formula:

V = (4/3) * π * (6 cm)^3

V = (4/3) * 3.14 * (6 cm)^3

V = (4/3) * 3.14 * 216 cm^3

V = 904.32 cm^3

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The cylinder is a three-dimensional shape, and the base area of the cylinder is 12π square feet

The given parameters are:

The volume of a cylinder is calculated using:

Volume =  Base area * Height

So, we have:

216π = Base area * 18

Divide both sides by 18

Base area = 12π

Hence, the base area of the cylinder is 12π square feet

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Answer:

12

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

1/2 ×base ×height =40

1/2 × (x+4) × x=40

(x+4) + x =80(40×2)

x×x + 4x =80

x×x + x =80/4

x×x +x =20

x=4

hope it helps....plz mark me brainliest :)

The value of x in for the triangle having an area of 40 units is 71.6 units.

A triangle is a three-sided closed-plane figure form by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know area of a triangle is (1/2)×base×height.

Therefore, The area of the rectangle with a base of 'x+4' units and height of 'x' units is,

(1/2)×(x+4)×x.

Given, Area is 40.

Therefore,

(1/2)×(x+4)×x = 40.

x² + 4x = 80.

x² + 4x - 80 = 0.

Solving the quadratic we get, x = 7.16 units.

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To show that the given equations represent trigonometric identity statements, we will simplify each equation and demonstrate that both sides of the equation are equal.

Starting with sec²θ(1 - cos²θ):

Using the Pythagorean identity sin²θ + cos²θ = 1, we can rewrite sec²θ as 1 + tan²θ. Substituting this into the equation, we get:

(1 + tan²θ)(1 - cos²θ)

= 1 - cos²θ + tan²θ - cos²θtan²θ

= 1 - cos²θ(1 - tan²θ)

= sin²θ

Thus, the equation simplifies to sin²θ, which is a trigonometric identity.

For cosx(secx - cosx) = sin²x:

Using the reciprocal identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the equation as:

cosx(1/cosx - cosx)

= cosx/cosx - cos²x

= 1 - cos²x

= sin²x

Hence, the equation simplifies to sin²x, which is a trigonometric identity.

Considering cosθ + sinθtanθ = secθ:

Dividing both sides of the equation by cosθ, we obtain:

1 + sinθ/cosθ = 1/cosθ

Using the identity tanθ = sinθ/cosθ, the equation becomes:

1 + tanθ = secθ

This is a well-known trigonometric identity, where the left side is equal to the reciprocal of the right side.

Simplifying (1 - cos∝)(cosec∝ + cot∝):

Expanding the expression, we have:

cosec∝ - cos∝cosec∝ + cot∝ - cos∝cot∝

= cot∝ - cos∝cot∝ + cosec∝ - cos∝cosec∝

= cot∝(1 - cos∝) + cosec∝(1 - cos∝)

= cot∝tan∝ + cosec∝sec∝

= 1 + 1

= 2

Thus, the equation simplifies to 2, which is a constant value.

In summary, we have analytically shown that the given equations represent trigonometric identity statements by simplifying each equation and demonstrating that both sides are equal.

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The work done by a force can be calculated by taking the dot product of the force vector with the displacement vector whether the force and displacement vectors are consecutive or anti-congruent.

The formula of the dot product is-

A ⋅ B = |A| |B| cos(θ)

Here A and B are the vectors  |A| and |B| which represent their magnitudes, and θ is the angle between them.

The angle between the force and displacement vectors is either 0 degrees (cos(0) = 1) or 180 degrees (cos(180) = -1) depending on whether they are parallel or antiparallel. The dot product becomes: in these circumstances.

A ⋅ B = |A| |B| (1) = |A| |B| (cos(0)) = |A| |B|

When the vectors are parallel or antiparallel, the angle is 0 or 180 degrees, respectively, and the cosine term is 1 or -1. This occurs since work done is defined as the dot product of the force and displacement vectors multiplied by the cosine of the angle between them.

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Answer:

The answer to your question is 2555

Step-by-step explanation:

365 x 56 = 20440

20440 ÷ 8 = 2555

I hope this helps and have a wonderful day!

Answer:

5 Motorcycles are used

30÷6= 5

5×5= 25

30-24=5

so the answer is 5

Answer:

5 out of the 30 motorcycles are used

Step-by-step explanation:

First, we should look at what we know. We know that there are 30 motorcycles in total. As a fraction, that'd be 30/30. We also know that of that 30, the equivalent of 5/6 are brand new.

Our next step is to figure out how much 5/6 is out of 30. Since we know that in total there 30/30 motorcycles, we need to convert 5/6 to have a denominator of 30. So what times 6 equals 30.

30 ÷ 6 = ?    opposite of 6 x ? = 30

5                   divide

So now we now that 6 times 5 equals 30. What we do to the denominator we must do to the numerator.

\(\frac{5}{6}\) × \(\frac{5}{5}\)    

\(\frac{25}{30}\)

Now we know that 25 of the 30 motorcycles are new and all we need to do is subtract that 25 from the total 30 to get 5. This tells us that 5 of the total motorcycles are used.

I hope this helped :)

The correct options are C and B:

Domain: {x| -5 ≤ x ≤ 4}

Range: {x| -3 ≤ y ≤ 3}

Remember that for a function f(x) = y the domain is the set of the inputs (set of the possible values of x) and the range is the set of the outputs (possible values of y).

To identify the domain we need to look at the horizontal axis. The leftmost value is x = -5, so that is the minimum of the domain.

The rightmost value is x = 4, so that is the maximum of the domain.

Also notice that we have two closed circles, meaning that these values belong to the domain, then:

D: {x| -5 ≤ x ≤ 4}

For the range, we look at the vertical axis.

The lowest value is y = -3, the largest one is y = 3, then the range is:

R: {x| -3 ≤ y ≤ 3}

Then the correct options are C and B

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Answer:

Step-by-step explanation:

(x+7)/2=6

x + 7 = 12

x = 5

(y + 10)/2 = 5

y + 10 = 10

y = 0

(5, 0)

answer is B

Answer:

whatever they said :D

Step-by-step explanation:

Answer:

I'm sorry I know nothing about this but I hope this helps

Answer:

y = -1/2 x + 6

Step-by-step explanation:

2x + 4y = 24

4y = -2x + 24

divide each expression by 4

y = - 1/2x + 6

Explanation:

The speed is:

If she swims 2 laps in one minute, then the time it takes her to swim 10 laps is:

Answer:

It took her 5 minutes to swim 10 laps

The number of rearrangements of 12345 in which 1, 2, and 3 are all out of their original positions is e40.

A permutation of a set of objects is an arrangement of those objects in a specific order. Consider the set {a, b, c}. The six permutations of this set are:{a, b, c} {a, c, b} {b, a, c} {b, c, a} {c, a, b} {c, b, a}Three objects, 1, 2, and 3, are out of position in e40 rearrangements of 12345. As a result, the number of arrangements is: 5 × 4 × 2 × 1 = 40 (1,2,3,4,5) is the original arrangement.

Consider swapping 1 and 2 to get (2,1,3,4,5), swapping 1 and 3 to get (3,2,1,4,5), or swapping 2 and 3 to get (1,3,2,4,5). The number of rearrangements of 12345 in which 1, 2, and 3 are all out of their original positions is 40. Therefore, the correct option is e40.

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Answer:

Step-by-step explanation:

P = \(\left[\begin{array}{ccc}2&7\\3&0\\5&4\\-1&-3\end{array}\right]\)

Q = \(\left[\begin{array}{ccc}-4\\-3\end{array}\right]\)

PQ = \(\left[\begin{array}{ccc}2(-4)+7(-3)\\3(-4)+0(-3)\\5(-4)+4(-3)\\-1(-4)+(-3)(-3)\end{array}\right]\) = \(\left[\begin{array}{ccc}-29\\-12\\-32\\13\end{array}\right]\)

Answer:

2.8 lollipops

Step-by-step explanation:

In 5 hours = 14 lollipops

In 1 hour = 14/5 lollipops = 2.8 lollipops

Answer:

The hourly rate is 2.8

Step-by-step explanation:

Sam eats 14 lollipops over 5 hours.

Now,

14/5 = 2.8

Thus, The hourly rate is 2.8

-TheUnknownScientist 72

Step-by-step explanation:

5t -(18x4)=-36

5t-72=-36

5t=-36+72

5t=36

t=36/5

India has one of the youngest populations in the world, and this demographic dividend has the potential to drive the country's economic growth in the coming years.

The BRICS (Brazil, Russia, India, China, and South Africa) are a group of five major emerging economies that are expected to play a significant role in the world economy in the coming years. Among these countries, India is known to have one of the youngest populations in the world, with an average age of 28.1 years.

India has a population of approximately 1.3 billion people, and it is projected to become the world's most populous country by 2027. The country has a large youth population, with about 50% of its population below the age of 25 and around 65% below the age of 35. This young population has the potential to be a significant asset for the country's economic growth, provided that adequate employment opportunities are created.

The youth in India are increasingly educated and tech-savvy, and they are playing a vital role in the country's growth story. India has a growing middle class, and this group of young, educated, and skilled individuals is driving the country's consumption story. The government of India has also launched several initiatives to harness the potential of the youth, such as Skill India, Make in India, and Digital India, to name a few.

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Therefore, the saddle point is approximately (-0.2852, 0.9953), and the local minimum is approximately (0.9649, 2.0047).

To find the saddle point and local minimum of the function\(f(x) = x^3 + 7xy - 3y + y^2\), we need to calculate the partial derivatives with respect to x and y, and then find the critical points by setting these derivatives equal to zero.

The partial derivative with respect to x (f_x) is:

\(f_x = 3x^2 + 7y\)

The partial derivative with respect to y (f_y) is:

f_y = 7x - 3 + 2y

Setting f_x = 0 and f_y = 0, we can solve for the critical points:

From \(f_x = 3x^2 + 7y = 0:\)

\(3x^2 = -7y\\x^2 = -7/3 * y\)

From f_y = 7x - 3 + 2y = 0:

7x = 3 - 2y

x = (3 - 2y)/7

Substituting this value of x into\(x^2 = -7/3 * y\), we have:

\((3 - 2y)^2 / 49 = -7/3 * y\)

Expanding and simplifying the equation, we get:

\(9 - 12y + 4y^2 = -49y/3\)

Multiplying both sides by 3, we have:

\(27 - 36y + 12y^2 = -49y\)

Rearranging terms, we obtain:

\(12y^2 - 13y + 27 = 0\)

Solving this quadratic equation, we find two possible values for y: y ≈ 0.9953 and y ≈ 2.0047.

Substituting these values back into x = (3 - 2y)/7, we can determine the corresponding x-values.

For y ≈ 0.9953, x ≈ -0.2852.

For y ≈ 2.0047, x ≈ 0.9649.

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Answer:

$63.50

Step-by-step explanation:

63.5 that's the answer am good at maths

John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.

To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.

The present value of an annuity formula is given by:

P = A * [(1 - (1 + r)^(-n)) / r],

where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.

In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:

196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].

Simplifying the expression inside the brackets:

196,000 = A * (1 - 0.469091).

196,000 = A * 0.530909.

Dividing both sides by 0.530909:

A = 196,000 / 0.530909.

A ≈ 369,238.68.

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Answer:

IJKUKOKLIOLIOOOIOLI

Step-by-step explanation:

IOIUOIUOIOIOIOIOIOIOIOIOIOIOIOIOIOIOIOOIOIOIOIOIOIOIOIOIOIOIO

The optimal solution for this LP model is x = 2 and y = 2, with a maximum objective function value of 10

To graph the constraints, we can rewrite each inequality in slope-intercept form:

2x + 2y < 8

y < -x + 4

3x + 2y < 12

y < -1.5x + 6

x + 0.5y < 3

y < -2x + 6

Now we can plot these three lines on a coordinate plane and shade the regions that satisfy each inequality. The feasible region is the region that satisfies all three inequalities.

To find the optimal solution, we need to evaluate the objective function at each corner point of the feasible region and choose the point that maximizes the objective function.

The corner points of the feasible region are (0,0), (0,3), (1.5,3), and (2,2).

Objective function at (0,0): 3(0) + 2(0) = 0

Objective function at (0,3): 3(0) + 2(3) = 6

Objective function at (1.5,3): 3(1.5) + 2(3) = 9

Objective function at (2,2): 3(2) + 2(2) = 10

Therefore, the optimal solution is at (2,2), which gives a maximum value of 3(2) + 2(2) = 10.

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Answer:

#1 (4b + 6a) #2  150y

Step-by-step explanation:

#1 :area of right triangle: ab/2

4x2/2 = 4b

area of rectangle: length x width

2 x 3 = 6a

#2:

5y + 2.5y = 7.5y x 2 = 15y

so the top and bottom are both 15 y

the sides are each 5y so thats 10 y

15x10= 150y

Answer:

6 houses

Step-by-step explanation:

Answer:

KJ = 22

Step-by-step explanation:

(See attachment below)

Area of the region inside the circle r=4cos(theta) and outside the circle r=2 is 4π/3 + 2√3

A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance. Both well-known Cartesian shapes like ellipses and some less well-known shapes like cardioids and lemniscates can be described by polar curves.

r = 1 − cosθsin3θ

Polar curves are more useful for describing paths that are an absolute distance from a certain point than Cartesian curves, which are good for describing paths in terms of horizontal and vertical lengths. Polar curves can be used to explain directional microphone pickup patterns, which is a useful application. Depending on where the sound is coming from outside the microphone, a directional microphone will take up sounds with varied tonal characteristics. A cardioid microphone, for instance, has a pickup pattern like a cardioid.

The area between two polar curves can be found by subtracting the area inside the inner curve away from the area inside the outer curve.

The figure attached shows the bounded region of the two graphs. The red curve is  r=4cos⁡(θ) and the blue curve is r=2.

The points of intersection of the two curves are

θ = π/3 and 5π/3

The area is calculated as follows:

Since the bounded region is symmetric about the horizontal axis, we will find the area of the top region, and then multiply by 2, so as to get the total area.

A = 2 \(\(\int_{0}^{\pi /3}\) ½ (4 cos (θ)² − ½ (2)² dθ

  =  \(\(\int_{0}^{\pi /3}\) 16 cos2 (θ) − 4dθ

  = \(\(\int_{0}^{\pi /3}\) 8 (1+cos(2θ)) − 4dθ

  =\(\(\int_{0}^{\pi /3}\) 4 + 8 cos (2θ) dθ

  = [4θ + 4sin (2θ)] \(\(\int_{0}^{\pi /3}\)

  = 4π/3 + 2√3

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Answer:

The new figure is not congruent with the old figure. They are similar

Step-by-step explanation:

Transformations

We are given the vertices of rectangle ABCD and the vertices of rectangle A'B'C'D'.

It can be clearly noted all the coordinates of the second rectangle are half the value of the coordinates of the first rectangle.

This type of transformation corresponds to a dilation across the origin with a scale factor of 1/2.

Since the transformed rectangle is smaller than the first one, it cannot be congruent with it.

But since all the dimensions of this smaller rectangle are proportional to those of the bigger rectangle, they are similar.

Answer:

3

Step-by-step explanation:

the answer is 3 if you check very well

Answer: 3

Step-by-step explanation: The Answer is 3 if you check very well

1. The value of x and y are 3 and 12 3/7 respectively

2. The value of x and y are 5 and 12 1/2 respectively

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.

5x-7y = -72 equation 1

3x+7y = 96 equation 2

add equation 1 and 2

8x = 24

x = 24/8

x = 3

substitute 3 for x in equation 1

5(3) -7y = -72

-7y = -72-15

y = 87/7

y = 12 3/7

2. -2x+10y = 25 equation 1

2x -3y = 10 equation 2

add equation 1 and 2

7y = 35

y = 35/7

y = 5

substitute 5 for y in equation 1

-2x + 50 = 25

-2x = -25

x = 25/2

x = 12 1/2

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