Which graph has an Euler Circuit?

The monthly payment for the 24-month installment plan to borrow $4,000 with an interest rate of 8% per year is approximately $176.65.

To calculate the monthly payment for the 24-month installment plan, we need to use the formula for calculating the monthly payment on a loan. The formula is:
M = P * (r * (1+r)ⁿ) / ((1+r)ⁿ⁻¹)
Where:
M is the monthly payment
P is the principal amount (in this case, $4,000)
r is the monthly interest rate (8% per year = 0.08/12 = 0.0067 per month)
n is the total number of payments (24)

Plugging in these values into the formula, we get:

M = 4000 * (0.0067 * (1+0.0067)²⁴) / ((1+0.0067)²⁴⁻¹)
Simplifying the equation, we find that the monthly payment will be approximately $176.65.

To know more about interest rate refer here

brainly.com/question/28236069

#SPJ11

Answer:

y=3x-1

Step-by-step explanation:

The vectors to be linearly independent, this equation must have only the trivial solution x1 = x2 = x3 = 0. This is true if and only if a is not equal to 2 or -2. Thus, the answer is (a) a = 1, -4.

To determine the values of a for which the given vectors are linearly independent, we need to set up the equation Ax = 0, where A is the matrix formed by taking the given vectors as its columns and x = (x1, x2, x3) is a vector of coefficients. If the only solution to this equation is the trivial solution x = (0, 0, 0), then the vectors are linearly independent.

Writing out the matrix and setting up the equation, we have:

| 0 a 4 | | x1 | | 1.a |

| 1 0 1 | | x2 | = | 4 |

| 3 2 2 | | x3 | | 0 |

To solve for x1, we eliminate the first column by subtracting 3 times the first row from the third row, and then subtracting the first row from the second row:

| 0 a 4 | | x1 | | 1.a |

| 1 0 1 | | x2 | = | 4 |

| 0 -3 -10| | x3 | | -3a |

We can now solve for x2 and x3 in terms of x1:

x2 = 4 - x1

x3 = (-3a + 3x1 - 10x2)/3

If the only solution to this equation is x1 = x2 = x3 = 0, then the vectors are linearly independent.

Substituting the values of x2 and x3 into the first equation, we get:

0x1 + ax2 + 4x3 = a(4 - x1) + 4((-3a + 3x1 - 10(4 - x1))/3) = -26a + 16x1 + 16.

For such more questions on Trivial solution:

https://brainly.com/question/13252722

#SPJ11

Step-by-step explanation:

breadth = 21 m

length = 63 m

w = 21 feet

l = 63 feet

l = 3w

P = 2(l + w)

168 = 2(l + w) : 2

84 = l  + w

replace l

84 = 3w + w

4w = 84

w = 84 : 4

w = 21 feet

l = 3w

l = 3×21 feet

l = 63 feet

Answer:

x < 25

Step-by-step explanation:

The correct option is option C: x<23

Inequality is the non-equal relation between two statements showing relations like greater than, greater than equals to, lesser than, lesser than equals to, etc

Here given that there is only $32 in hand to spend.

And the bowling game costs= $11

shoe rental costs =$3.75

each arcade game costs $0.75

let's assume no. of arcade games she can play =x

x arcade games will cost to play=$0.75*x=0.75x

so that the total cost should not exceed $32 i.e. total cost is less than $32.

The inequality expression will be

Total cost to play < $32

⇒the bowling game cost + shoe rental cost + arcade game playing cost< $32

⇒ $11+ $3.75+ $0.75x< $32

solving this inequality,

⇒ $14.75+ $0.75x< $32

⇒ $0.75x< $32- $14.75

⇒$0.75x< $17.25

⇒x<17.25/0.75

⇒x<23

Therefore she can play no. of arcade games which should be less than 23.

Therefore The correct option is option C: x<23

Learn more about inequality

here: https://brainly.com/question/11613554

#SPJ2

The width of rectangle Y is 8 units.

The width of rectangle Y is obtained applying the proportions in the context of the problem.

The dimensions of rectangle X are given as follows:

Height of 3 units.

Width of 2 units.

The dimensions of rectangle Y are given as follows:

Height of 12 units.

Width of x units.

The height was enlarged by a scale factor of 4, hence the width is given as follows:

2 * 4 = 8 units.

Learn more about rectangle on:

https://brainly.com/question/2607596

#SPJ1

Complete Question

Check attached image

Part (a)

The length is supposed to be 22.2 cm, but it could be 0.3 cm less

So 22.2 - 0.3 = 21.9 cm is the smallest value for the length. This is the lower bound of the length.

The upper bound is 22.2 + 0.3 = 22.5 cm as it is the largest the length can get.

-------------

Use this for the width as well

The width is supposed to be 12 cm, but it could be as small as 12-0.3 = 11.7 cm and as large as 12+0.3 = 12.3 cm

-------------

============================================

Part (b)

Use the smallest length and width to get the smallest possible area

smallest area = (smallest width)*(smallest length) = 11.7*21.9 = 256.23

-------------

Repeat the same idea but for the largest length and width to get the largest possible area

largest area = (largest width)*(largest length) = 12.3*22.5 = 276.75

-------------

Answer:

it is 23.

Step-by-step explanation:

The hypotenuse has to be each leg added together which is 44. And 44 - 21 is 23.

Pls mark brainliest.

Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

To learn more about the binomial expansion visit:

https://brainly.com/question/31363254.

#SPJ2

Answer: x=90 y=48 z=60

Step-by-step explanation: z=y+12 because they are parallel lines and must be equal alternate interior angles theorem. And y-18+z=90, because they are a right angle. x is 90 degrees because it is also a right angle

Answer:

7 and 23 or 11 and 19

Step-by-step explanation:

First, let's determine the prime numbers between 1 and 30.

2, 3, 5, 7, 11, 13, 17, 19, 23, and 29 are all the prime numbers between 1 and 30.

We can now see that 7 and 23 add up to 30.

But 11 and 19 also works.

Hope this helped!!

Answer:

4,375 people visited the book fair in the second week.

Step-by-step explanation:

1) 5,000 x 0.125 = 625

2) 5,000 - 625 = 4,375

Step-by-step explanation:

Let distance travelled by Nichol =x

\({:}\longrightarrow\)\(\sf {\dfrac {3}{5}}\times x={\dfrac {3}{8}}\)

\({:}\longrightarrow\)\(\sf {\dfrac {3x}{5}}={\dfrac {3}{8}}\)

\({:}\longrightarrow\)\(\sf 8 (3x)=5×3 \)

\({:}\longrightarrow\)\(\sf 24x=15\)

\({:}\longrightarrow\)\(\sf x={\dfrac{24}{15}}\)

\({:}\longrightarrow\)\(\sf x=1.6\)

\(\therefore\) Nichol runs 1.6miles .

If we compute the operations in each side, we can see that on the left side 0.14+0.14+0.14 is the same as 3 times 0.14, so 3 x 0.14

This means that the expressions are equal to each other:

The most precise name for ABCD with vertices A(−5, 2), B(−3, 6), C(6, 6), and D(4, 2) is quadrilateral.

The given quadrilateral ABCD can be classified as a trapezoid. By definition, a trapezoid is a quadrilateral with at least one pair of parallel sides. In this case, sides AB and CD are parallel, which satisfies the definition of a trapezoid.

Furthermore, based on the given coordinates of the vertices, we can see that sides AC and BD are equal in length. An isosceles trapezoid is a special case of a trapezoid in which the non-parallel sides are congruent. Therefore, quadrilateral ABCD can also be classified as an isosceles trapezoid.

To summarize, the most precise name for quadrilateral ABCD is a trapezoid, and more specifically, an isosceles trapezoid.

Learn more about quadrilaterals here:

brainly.com/question/29934440

#SPJ1

Answer:

parallelogram

Step-by-step explanation:

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

To learn more about solar flux density,

https://brainly.com/question/14891737

#SPJ4

Answer:

9. 8

10. 28

11. 55

12. 42

Step-by-step explanation:

Answer:

9. 8

10. 28

11. 55

12. 42

The recurrence relation for the total amount of money in the savings account at the end of n months can be expressed using a recursive formula that takes into account the monthly deposits and the compounded interest. Let A_n be the total amount of money in the account at the end of the nth month. Then, we have:

A_n = A_{n-1} + 100 + (0.06/12)*A_{n-1}

Here, A_{n-1} represents the total amount of money in the account at the end of the (n-1)th month, which includes the deposits made in the previous months and the accumulated interest. The term 100 represents the deposit made at the beginning of the nth month.

The term (0.06/12)*A_{n-1} represents the interest earned on the balance in the account at the end of the (n-1)th month, assuming a monthly interest rate of 0.06/12.

Using this recursive formula, we can calculate the total amount of money in the account at the end of each month, starting from the initial balance of $0. For example, we can calculate A_1 = 100 + (0.06/12)*0 = $100, which represents the balance at the end of the first month.

Similarly, we can calculate A_2 = A_1 + 100 + (0.06/12)*A_1 = $206, which represents the balance at the end of the second month. We can continue this process to calculate the balances at the end of each month up to the nth month.

To learn more about Recurrence relation, visit:

https://brainly.com/question/29499649

#SPJ11

Answer:32.5

Step-by-step explanation:

In light of this, Cylinder radius = r = 3.3 metres, Cylinder height = h = 6 metres. We need to calculate the cylinder's estimated volume in cubic feet. So, the approximate volume of the cylinder in cubic feet is 7237.775 ft³.

We now know that the formula for cylinder volume is V = πr²h , where V is the volume, r is the radius, h is the height, and π is a constant equal to 3.14.

Now, we can substitute the given values in the formula and solve for the volume of the cylinder. V = πr²h = 3.14 × (3.3 meters)² × (6 meters) ...[Substitute r = 3.3 meters, h = 6 meters and π = 3.14 in the above formula]V = 204.828 m³ ...[Solve using calculator]Now, we need to convert cubic meters into cubic feet.

We know that, 1 meter = 3.28084 feetSo, 1 meter³ = (3.28084 feet)³ = 35.3147 cubic feet. Therefore, 1 m³ = 35.3147 ft³.

Now, we can use this conversion factor to convert the volume of cylinder from cubic meters to cubic feet.V = 204.828 m³ × (35.3147 ft³/m³) = 7237.775 ft³ (approx).

Therefore, the approximate volume of the cylinder in cubic feet is 7237.775 ft³.

For more questions on: radius

https://brainly.com/question/27696929

#SPJ8

Answer:

C=7

Step-by-step explanation:

Because it's a right angle in total we know the 2 expressions combined will equal 90.

(8c-5)+(6c-3)=90

Yes, the diagonals of a parallelogram bisect each other as well as the angles they intersect. This means that each diagonal divides the parallelogram into two congruent triangles and each angle formed by the intersection of the diagonals is bisected into two equal angles.

The diagonals of a parallelogram have the following properties :

They bisect each other, meaning they divide each other into two equal parts.

They do not bisect the angles of the parallelogram, meaning they do not divide the angles into two equal parts, except in some special cases such as a rectangle or a rhombus.

They divide the parallelogram into two congruent triangles, meaning the triangles have equal sides and angles.

So, the answer to your question is no, the diagonals of a parallelogram do not bisect the angles in general. However, if the parallelogram is a rectangle or a rhombus, then the diagonals do bisect the angles

to learn more about parallelogram click here:

brainly.com/question/8700864

#SPJ11

Answer:

Scale factor = 3 : 1

Step-by-step explanation:

Answer:  x=3 y=1

Step by step solution

The mean of the data is: 67.1

The median is: 70.5

The mode is: 71

Given, 68, 79, 71, 52, 71, 54, 71, 81, 54, 70:

Mean = (68 + 79 + 71 + 52 + 71 + 54 + 71 + 81 + 54 + 70)/10

Mean = 671/10

Mean = 67.1

Median = (70 + 71)/2 = 70.5

Mode = 71

Learn more about the mean, median, and mode on:

https://brainly.com/question/14532771

#SPJ1

The stripe's area in square feet is 240 square units.

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. Draw a square on a sheet of paper using a pencil. It is a two-dimensional figure. The area of the form on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.

Here,

The cylinder can be "unwrapped" into a rectangle, and we see that the stripe is a parallelogram with base 3 and height 80.

area=3*80

=240 square units.

the area of the stripe in square feet is 240 square units.

To know more about area,

https://brainly.com/question/22469440

#SPJ4

Answer:

3CuCl2 + 2Ni → 3Cu + 2NiCl3

A set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".

What is a combination of reflections?

Combination of Two Reflections. A point or object once reflected can further be reflected to form a new image. The axes of these reflections may be parallel to each other or they intersect each other at a point.

Given the coordinates of hexagon ABCDEF, it can be determined that a set of reflections that would carry the hexagon onto itself would be a combination of reflections over the x-axis and y-axis.

One possibility would be to reflect over the x-axis, then reflect over the y=x line, and finally reflect over the x-axis again.

This would take the hexagon from its original position to itself.

Another possibility would be to reflect over the y = x line, then reflect over the x-axis, and finally reflect over the y-axis.

This would also take the hexagon from its original position to itself.

Hence, a set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".

To learn more about the combination of reflections visit,

https://brainly.com/question/28004023

#SPJ4

It is true that equation xy + x + y = 36 has no positive integers .

These are both forms of direct proof. There are many other types of proof. Examples of commonly used proof types include

By using hit and trial method

So first we'll take which is the smallest positive integer .

put x = 1

⇒ y =(36-1)/2

   =   35/2  which is not an integer .

put x = 2

⇒ y = 34//3 which is again a fraction .

This proves equation xy + x + y = 36 has no positive integers .

To know more om mathematical proofs follow link :

https://brainly.com/question/26456364

#SPJ9