A vehicle purchased for $20,700 depreciates at a constant rate of 4%. Determine the approximate value of the vehicle 12 years after purchase. Round to the nearest whole dollar.

Answer:

x = 6

y = 4

Step-by-step explanation:

2(4x + 1) = 11x - 16

8x + 2 = 11x - 16

8x + 2 + 16 = 11x - 16 + 16

8x + 18 = 11x

8x + 18 - 8x = 11x - 8x

18 = 3x

6 = x

5y + 4 = 8(y - 1)

5y + 4 = 8y - 8

5y + 4 + 8 = 8y - 8 + 8

5y + 12 = 8y

5y + 12 - 5y = 8y - 5y

12 = 3y

4 = y

The standard form of "18 hundreds 11 tens" is 1910.

To write "18 hundreds 11 tens" in standard form, we need to convert the given number into its numerical representation.

We know that 1 hundred is equal to 100, and 1 ten is equal to 10.

So, to find the numerical value of "18 hundreds 11 tens," we multiply the respective values by their place values and then add them together.

18 hundreds = 18 x 100 = 1800

11 tens = 11 x 10 = 110

To find the standard form, we add the two values:

1800 + 110 = 1910

Therefore, "18 hundreds 11 tens" in standard form is 1910.

In standard form, numbers are written using digits, without any reference to place value units like hundreds or tens.

The standard form of a number represents its numerical value directly. So, the numerical value of "18 hundreds 11 tens" is 1910, which is its standard form.

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The answer is A.) 25

The previous answer of 87 is wrong, and there is me to prove it below.

The deli can expect to approximately sell 25 flavored bagels during an hour when 50 plain bagels are sold.

A scatter plot is a plot containing points that are made using different cartesian coordinates. The line that passes approximately through these points is called the regression line.

To find the number of flavored bagels which is x, we have to substitute the value of y which is the number of plain bagels sold.

The equation is given as:

y = 1.731x + 6.697

Now substitute the value of y = 50:

50 = 1.731x + 6.697

43.303 = 1.731x

x = 43.303/1.731

= 25.016 ≈ 25 falvored bagels

Therefore, the deli can expect to approximately sell 25 flavored bagels during an hour when 50 plain bagels are sold. The correct answer is option A.

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Answer: True

Step-by-step explanation: This is because they are equivalent fractions

Hope this helps and have a nice day

Answer: true

Step-by-step explanation:

They r literally the same except 6/30 is 3/15 doubled

Answer:

Correspondencia entre conjuntos:

a) Inyectiva: es cuando a cada imagen en el conjunto de llegada le corresponde un único origen, es decir, a distintos elementos del conjunto inicial, les corresponden distintos elementos del conjunto final.

b) Sobreyectiva: es si todos los elementos del conjunto final tienen al menos una correspondencia del conjunto inicial

c) Biyectiva: es cuando la correspondencia es inyectiva y sobre inyectiva a la vez

Correspondencia unívoca : es una correspondencia donde cada elemento del conjunto origen se corresponde con solo un elemento del conjunto de llegada.

Correspondencia biunívoca  es cuando a cada elemento del conjunto origen se corresponde con solo un elemento del conjunto llegada, y viceversa

Step-by-step explanation:

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

The Answer:

Width = 6

Step-by-step explanation:

Let width be w

(3w + 8) x w = 156

3 \(w^{2}\) x 8n - 156 = 0

(w + 8 x 6) (w-6) = 0

w = 6

Answer:

sin of 52 radians = 0.98662759204

Step-by-step explanation:

Answer: 0.98

Step-by-step explanation:

Approximately 1, you shouldn't have to answer 0.988 etc on the test.

Answer:

Step-by-step explanation:

To prove that the sum of the first n even +ve integers is:

\(\mathsf{2+4+6+8+ . . . +2n = n^2+ n }\)

By using mathematical induction;

For n = 1, we get:

2n = 2 × 1 = 2

2 = 1² + 1 ----- (1)

∴ the outcome is true if n = 1

However, let assume that the result is also true for n = k

Now, \(\mathsf{2+4+6+8+. . .+2k = k^2 + k --- (2)}\)

\(\mathsf{2+4+6+8+. . .+2k+2(k+1)}\)

we can now say:

\(\mathsf{= (k^2 + k) + 2(k + 1)} \\ \\ \mathsf{= k^2 + k + 2k + 1}\)

\(\mathsf{= (k^2 + 2k + 1) + (k + 1)}\)

\(\mathsf{= (k + 1)^2 + (k + 1)}\)

∴

\(\mathsf{2 + 4 + 6 + 8 + . . . + 2k + 2(k + 1) = (k + 1)^2 + (k + 1)}\)

Thus, the result is true for n = m+1, hence we can posit that the result is also true for each value of n.

As such \(\mathsf{2+4+6+8+. . .+2n = n^2 + n }\)

Answer:

include a picture

Answer:

THIS IS THE CORRECT ANSWER FOR IMAGINE MATH BRAINLIEST PLZ

Step-by-step explanation:

yw!

Answer:

Option B

Step-by-step explanation:

We can approach this problem through the formula for distance between points, but I can think of a more easier approach. This line forms a triangle with the x and y axis, a right triangle with the legs being 2 and 1 units. The line with which we must find the distance of acts as the hypotenuse of this triangle, so let us apply Pythagorean Theorem to solve for the length of the line;

\(a^2 + b^2 = c^2,\\( 1 )^2 + ( 2 )^2 = c^2,\\\\1 + 4 = c^2,\\c^2 = 5,\\\\c = ( About ) 2.2\)

Solution; Option B

The reasonable estimate would be 25

We have to solve this using the rule of 3

9 out of 30 members said that they run more than 5 days a week.

We will form the equations

when 9 ran = 30 menbers

when n ran = 84 members

we will then cross multiply

84 x 9 = 30 x n

n = 25.2

When we round this, the reasonable estimate would be 25

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Complete question

Freemont Run Club surveyed a random sample of 30 of their members about their running habits. Of the members surveyed, 9 said that they run more than 5 days a week.

There are 84 Freemont Run Club members.

Based on the data, what is the most reasonable estimate for the number of Freemont Run Club members who run more than 5 days a week?

Answer:

I think x = 4.

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3x + x +10 + 5x + 2x + 2 =56

(3x + x + 5x + 2x) + (10 + 2) = 56 (Combine Like Terms)

11x + 12 = 56

11x + 12 = 56

Step 2: Subtract 12 from both sides.

11x + 12 − 12 = 56 − 12

11x = 44

Step 3: Divide both sides by 11.

11x/11 = 44/11

x = 4

Answer:

52.2

....

....

...

..

.....

....

Answer:

\(\rm 4k(2k+ h)\)

Step-by-step explanation:

A expression is given to us and we need to factorise it . The given expression is ,

\(\rm\implies (h+2k)^2+4k^2-h^2\)

Open the brackets using the identity, (a +b)² = a² + b² + 2ab , we have ;

\(\rm\implies h^2+4k^2+4hk + 4k^2 - h^2 \)

Simplify ,

\(\rm\implies 8k^2+4hk \)

In the above expression 4k is common in both the terms , so that ,

\(\rm\implies \boxed{\pink{\frak{ 4k(2k+h) }}}\)

The expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

From the question,

We are to factorize the expression (h+2k)²+4k²-h²​ completely

The expression can be factorized as shown below

(h+2k)²+4k²-h²​ becomes

(h+2k)² + 2²k²-h²​

(h+2k)² + (2k)²-h²​

Using difference of two squares

The expression (2k)²-h²​ = (2k+h)(2k-h)

Then,

(h+2k)² + (2k)²-h²​ becomes

(h+2k)² + (2k +h)(2k-h)

This can be written as

(h+2k)² + (h +2k)(2k-h)

Now,

Factorizing, we get

(h +2k)[(h+2k) + (2k-h)]

Hence, the expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

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For the given triangles:

(1) x = 5.4

(2)  x  =  √23

(3) θ = 25.84 degree

(4)   x = 9.5

(5) n = 41

(1) In the given triangle,

One angle = 16 degree

Perpendicular = x

Hypotenuse    = 20

Since we know that

Sinθ = opposite side of θ/hypotenuse

Therefore,

⇒ sin 16 = x/20

⇒   0.27 = x/20

⇒         x = 5.4

(2)  In the given triangle,

Hypotenuse = 12 km

Base = 11 km

perpendicular = x

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (12)²= (x)² + (11)²

⇒ 144 = (x)² + 121

⇒   x² =  23

Taking square root both sides we get,

Hence,

⇒   x  =  √23

(3) In the given,

Base = 20

Perpendicular = 42

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (Hypotenuse)² =  (42)² + (20)²

⇒ (Hypotenuse)² =  2164

Taking square root both sides,

⇒ (Hypotenuse)  = 46.51

⇒ cosθ = Adjacent/hypotenuse

             = 42/46.51

             = 0.90

Taking inverse of cosθ,

⇒ θ = 25.84 degree

(4) In the given triangle,

One angle = 30 degree

Base = x

Hypotenuse    = 11

Since we know that

cosθ = Adjacent/hypotenuse

Therefore,

⇒ cos 30  = x/11

⇒   √3/2 = x/11

⇒         x = 9.5

(4) In the given triangle,

Base = 40

Perpendicular = 9

Hypotenuse = n

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒  n² = 9² + 40²

⇒  n² = 81 + 1600

⇒  n² = 1681

⇒  n = 41

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Number of People who knows the Code are 6401

What is Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let, Number of People who kows the Code be x

Number of Peoplee who do not know the Code be y

According to the Question:

x + y = 7338 ----------(i)

2x + 5y = 17487 ----------(ii)

Multiplying Equation (i) by 2

2x + 2y = 14676 ---------(iii)

Substracting Equation (iii) from Equation (ii)

3y = 2811

y = 937

This means x = 6401

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Answer:

There is 5 4rth

Step-by-step explanation:

The value of the angle x is 110 degrees

A transversal is described as a line that passes two lines of distinct points

Also, we need to know that pair of angles on a straight line sums up to 180 degrees.

Supplementary angles are described as angles that sum up to 180 degrees.

Corresponding angles are also equal, then, we have that;

70 + x = 180

collect the like terms, we get;

x = 180 - 70

subtract the values, we have;

x = 110 degrees

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Answer:

10

Step-by-step explanation:

radius is the middle point of a circle, therefore divide it in half.

Answer:

\((4 \times {10}^{4} ) \times (2.5 \times {10}^{6} )\)

\( = 10 \times {10}^{10} = {10}^{11} \)

Answer:

C. x=-5 or x=20

Step-by-step explanation:

Factor \(x^{2}\)-15x−100 using the AC method

(x-20)(x+5)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0

x−20=0

x+5=0

Set x−20 equal to 0and solve for x

x=20

Set x+5 equal to 0 and solve for x

x=−5

The final solution is all the values that make (x−20)(x+5)=0 true. The multiplicity of a root is the number of times the root appears.

x=20(Multiplicity of 1)x=−5 (Multiplicity of 1)

The solutions to the equation x² - 15x - 100 = 0 are:

x = 20 and x = -5.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To use the zero product property to solve the equation:

x² - 15x - 100 = 0.

Factor the left-hand side of the equation:

(x - 20)(x + 5) = 0

Apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero:

x - 20 = 0 or x + 5 = 0

Solve for x in each equation:

x - 20 = 0

x = 20

x + 5 = 0

x = -5

Therefore,

The solutions to the equation x² - 15x - 100 = 0 are:

x = 20 and x = -5.

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The vertex form of the quadratic equations in standard form are, respectively:

Case 9: y = 2 · (x + 2)² - 12

Case 10: y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11: y = 3 · (x - 4 / 3)² - 16 / 3

Case 12: y = - 3 · (x - 3)²

Case 13: y = (x - 4)² + 3

Case 14: y = (x - 1)² - 7

Case 15: y = (x + 3 / 2)² - 9 / 4

Case 16: 2 · (x + 1 / 4)² - 1 / 8

Case 17: y = 2 · (x - 3)² - 7

Case 18: y = - 2 · (x + 1)² + 10

In this problem we find ten cases of quadratic equation in standard form, whose vertex form can be found by a combination of algebra properties known as completing the square. Completing the square consists in simplifying a part of the quadratic equation into a power of a binomial.

The two forms are introduced below:

Standard form

y = a · x² + b · x + c

Where a, b, c are real coefficients.

Vertex form

y - k = C · (x - h)²

Where:

Now we proceed to determine the vertex form of each quadratic equation:

Case 9

y = 2 · x² + 4 · x - 4

y = 2 · (x² + 2 · x - 2)

y = 2 · (x² + 2 · x + 4) - 12

y = 2 · (x + 2)² - 12

Case 10

y = - (1 / 2) · x² - 3 · x + 3

y = - (1 / 2) · [x² + (3 / 2) · x - 3 / 2]

y = - (1 / 2) · [x² + (3 / 2) · x + 9 / 16] + (1 / 2) · (33 / 16)

y = - (1 / 2) · (x + 3 / 4)² + 33 / 32

Case 11

y = 3 · x² - 8 · x

y = 3 · [x² - (8 / 3) · x]

y = 3 · [x² - (8 / 3) · x + 16 / 9] - 3 · (16 / 9)

y = 3 · (x - 4 / 3)² - 16 / 3

Case 12

y = - 3 · x² + 18 · x - 27

y = - 3 · (x² - 6 · x + 9)

y = - 3 · (x - 3)²

Case 13

y = x² - 8 · x + 19

y = (x² - 8 · x + 16) + 3

y = (x - 4)² + 3

Case 14

y = x² - 2 · x - 6

y = (x² - 2 · x + 1) - 7

y = (x - 1)² - 7

Case 15

y = x² + 3 · x

y = (x² + 3 · x + 9 / 4) - 9 / 4

y = (x + 3 / 2)² - 9 / 4

Case 16

y = 2 · x² + x

y = 2 · [x² + (1 / 2) · x]

y = 2 · [x² + (1 / 2) · x + 1 / 16] - 2 · (1 / 16)

y = 2 · (x + 1 / 4)² - 1 / 8

Case 17

y = 2 · x² - 12 · x + 11

y = 2 · (x² - 6 · x + 9) - 2 · (7 / 2)

y = 2 · (x - 3)² - 7

Case 18

y = - 2 · x² - 4 · x + 8

y = - 2 · (x² + 2 · x - 4)

y = - 2 · (x² + 2 · x + 1) + 2 · 5

y = - 2 · (x + 1)² + 10

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Answer:

The answer is number 2

Answer:

d) 4w - 2

Step-by-step explanation:

(7w-5) and (-3w+3)

(7w-5) + (-3w+3)

1(7w-5) + 1(-3w+3)

7w - 5 - 3w + 3

Combine like terms:

7w - 5 - 3w + 3

7w - 3w - 5 + 3

4w - 2

Hope this helps!

Answer: 10.90

Step-by-step explanation:

5.18 for candy and 5.72 for pretzels

1.20 + 3.12 = 4.32

4.32 x 1.20 = 5.18

5.2 x 1.10 = 5.72

5.18 + 5.72 = 10.90

hope this helps

plz mark brainleist

Answer:

b = 21 +8a

Step-by-step explanation:

We can dive both sides by 2 to get:

-8a + b = 21

Then bring at 8a to both sides to get

b = 21+8a

Answer:

-16a+2b=42

2b=42+16a

b=42+16a

²

b=21+8a

Mathematics provides a framework for developing critical thinking, problem-solving, and analytical skills that are valuable in many aspects of life.

What is mathematics?

Mathematics is a fundamental discipline that plays a crucial role in our daily lives and in shaping our understanding of the world.

Mathematics is a field of study that deals with the properties and relationships of numbers, quantities, shapes, and patterns. It involves using logical reasoning, abstraction, and symbolic manipulation to understand and solve problems related to these concepts.

Mathematics is important for many reasons. First and foremost, it is a fundamental tool for understanding and describing the world around us. It plays a crucial role in science, technology, engineering, economics, finance, and many other fields by providing tools for modeling and analyzing complex phenomena.

Mathematics is also essential for making accurate predictions and decisions based on data and evidence, as well as for designing and optimizing systems and processes.

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Answer:

x =23

Step-by-step explanation:

ok first, the full degree of a straight line is 180°

subtract 38° out of 180°

180-38= 142

so 6x+4= 142°

subtract 4 from both sides of the equation

6x +4 -4= 142-4

6x=138

divide 6 from 6x and 138

x=23

For the function, the x-intercept of g(x) is at (5,0).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input.

Given f(x) = ln(x)

and g(x) = -f(x - 4)

the function is

g(x) = -ln(x - 4)

when x = 5

g(x) = -ln(5 - 4)

g(x) = -ln1

g(x) = 0

the coordinates are (5, 0)

Hence the x-intercept is (5, 0).

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