Anne buys used cars at auction for 2000 per car if anne buys 13 ised cars how much did she pay in total what would be an equation

Answer:

$756.40 total including interest of 22%

When talking about money, 22% is written as 0.22

To find out what amount of the total is the 22% or 0.22, you will need to multiply.

$756.49 x 0.22 = $166.408 rounded up is $166.41

$166.41 is the 22% interest. Minus that from the total and it will give you the bill amount before Interest was added.

$756.40 - $166.41 = $589.99

Answer:

0.21 and 0.22

Step-by-step explanation:

Answer:

x =  \(3\sqrt{2}\)

Step-by-step explanation:

This is an isosceles triangle, so the missing side is also 3

x = \(\sqrt{3^2 + 3^2}\)

  = \(\sqrt{9+9}\)

  = \(\sqrt{18}\)

Simplify \(\sqrt{18}\):

18 = 2 x 3 x 3

\(\sqrt{18}\) = \(\sqrt{2 * 3 * 3}\)

\(\sqrt{18}\) = \(\sqrt{2 * 3^2}\)

\(\sqrt{18}\) = \(\sqrt{2} * \sqrt{3^2}\)

\(\sqrt{18}\) = \(3\sqrt{2}\)

-Chetan K

Answer:

The width is 4

Step-by-step explanation:

the length times the with is the area

since the area is 36

9 times x = 36

so

since 9 x 4 = 36,

the width is 4

Answer:

1

Step-by-step explanation:

lma o

Using the inscribed angle theorems, the measure of the indicated angles are:

1. m∠BOA = 26°

2. m∠BDA = 13°

3. m∠BCA = 13°

Based on the inscribed angle theorem, the following relationships are established:

Given:

Intercepted arc BA = 26°

1. ∠BOA is central angle

Thus:

m∠BOA = 26° (inscribed angle theorems)

2. ∠BDA is inscribed angle.

m∠BDA = 1/2(30) = 13° (inscribed angle theorems)

3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)

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The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).

This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2

Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.

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Answer:

37

Step-by-step explanation:

147= 15x +5+ 22x +4. 120 = 37

Answer:

If angle 5=147 then angle 2 would be 33 since it needs to equal 180

then angle one would also equal angle 2, or =33

Step-by-step explanation:

The curl and the divergence of the vector field is illustrated below.

The term vector in math contains both position and magnitude.

Here we need to find the curl and the divergence of the vector field.

While we looking into the given question, we have the function

=> F(x, y, z) = <ex, exy, exyz>

AS per the concept of convergence, here we have consider that F=⟨P,Q,R⟩  is a vector field in  R3  and  Px, Qy,  and  Rz  all exist here then the divergence of F is defined by as,

=> div F = Px + Qy + Rz

=> div F = ∂P/∂x + ∂Q/∂y + ∂R/∂z.

The term curl in vector field is defined as a vector operator that describes the infinitesimal circulation of a vector field in three-dimensional Euclidean space

And the curl of the vector field is calculated as,

=> curl F = (Ry−Qz)i + (Pz−Rx)j + (Qx−Py)k

=> curl F = (∂R/∂y−∂Q/∂z)i + (∂P/∂z−∂R/∂x)j + (∂Q/∂x−∂P/∂y)k.

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Based on the information provided, Derek will have made $480 more in buttered popcorn than in caramel popcorn.

To calculate his earnings with popcorn, let's use the expression given for each type of popcorn:

Buttered popcorn:

8w+9

8 x 12 + 9

96 + 9 =105

105 x 11 = $1155 (Total earnings for buttered popcorn)

Caramel popcorn:

6w-11

6 x 12 - 11

72 - 11 = 61

61 x 11 = $671 (Total earnings for caramel popcorn)

Now, let's calculate the difference:

$1155 - $671 =$480

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A numerical value used as a summary measure for a sample is known as a statistic.

A statistic is a quantity that is calculated from a sample of data and is used to estimate an unknown quantity, such as a population parameter. It is important to note that a statistic is only an estimate of the true population parameter and may vary from sample to sample. Examples of statistics include the sample mean, sample standard deviation, and sample proportion.

what is quantity?

quantity refers to an amount or number of something that can be measured or counted. It can be expressed in numerical or non-numerical terms, and can be used to describe the size, volume, length, weight, or other physical attributes of an object or substance. In mathematics, quantity is often used in conjunction with variables and equations to represent mathematical relationships and solve problems.

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The fractions of the numbers are found as follows:

To divide a number by the nth power of 10, the decimal digit in the number is moved n units to the right.

The fraction that represents 10% of a number is given as follows:

10/100 = 1/10.

Meaning that the number is divided by 10, which is the first power of 10, and thus the decimal digit is moved one unit right in the number.

The fraction that represents 1% of a number is given as follows:

1/100.

Meaning that the number is divided by 100, which is the second power of 10, and thus the decimal digit is moved two units right in the number.

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Answer:

3

Step-by-step explanation:

Answer:

6 or 9

Step-by-step explanation:

Let the number of green pens =x

There are three more red pens, therefore:

The number of red pens =x+3

Total Number of pens =x+x+3=2x+3

The probability that sheila will take two pens of the same color = \(\frac{17}{35}\)

Therefore, we have that:

\(\text{P(two red pens)}=\dfrac{x+3}{2x+3} \times \dfrac{x+2}{2x+2}\\\\P(RR)=\dfrac{(x+3)(x+2)}{(2x+3)(2x+2)}\)

\(P$(two green pens$)=\dfrac{x}{2x+3} \times \dfrac{x-1}{2x+2}\\\\P(GG)=\dfrac{x(x-1)}{(2x+3)(2x+2)}\)

Therefore, the probability that sheila will take two pens of the same color

=P(RR)+P(GG)

\(\dfrac{(x+3)(x+2)}{(2x+3)(2x+2)}+\dfrac{x(x-1)}{(2x+3)(2x+2)}=\dfrac{17}{35}\\\dfrac{(x+3)(x+2)+x(x-1)}{(2x+3)(2x+2)}=\dfrac{17}{35}\\\)

Cross multiply

\(35[(x+3)(x+2)+x(x-1)]=17[(2x+3)(2x+2)]\\35[x^2+3x+2x+6+x^2-x]=17[4x^2+4x+6x+6]\\35[2x^2+4x+6]=17[4x^2+10x+6]\\70x^2+140x+210=68x^2+170x+102\\70x^2-68x^2+140x-170x+210-102=0\\2x^2-30x+108=0\)

Factorizing, we have:

\(2(x-6)(x-9)=0\\x-6=0$ or $x-9=0\\x=6$ or 9\)

Therefore, the two different numbers of green pens that could be in the box are 6 or 9.

Answer:

$3,700

Step-by-step explanation:

12% of 9,250 is 1,110

so each year 1,110 is subtracted from the original price of the tractor.

So if you subtract 1,110 five times from 9,250 you get 3,700.

The inflection point of f(t) is approximately t = 3.73.

(a) To determine if the function f(t) = -0.425t^3 + 4.758t^2 + 6.741t + 43.7 is increasing or decreasing, we need to find its derivative and examine its sign.

Taking the derivative of f(t), we have:

f'(t) = -1.275t^2 + 9.516t + 6.741

To determine the sign of f'(t), we need to find the critical points. Setting f'(t) = 0 and solving for t, we have:

-1.275t^2 + 9.516t + 6.741 = 0

Using the quadratic formula, we find two possible values for t:

t ≈ 0.94 and t ≈ 6.02

Next, we can test the intervals between these critical points to determine the sign of f'(t) and thus the increasing or decreasing behavior of f(t).

For t < 0.94, choose t = 0:

f'(0) = 6.741 > 0

For 0.94 < t < 6.02, choose t = 1:

f'(1) ≈ 14.982 > 0

For t > 6.02, choose t = 7:

f'(7) ≈ -5.325 < 0

From this analysis, we see that f(t) is increasing on the intervals (0, 0.94) and (6.02, ∞), and decreasing on the interval (0.94, 6.02).

(b) To find the inflection point of f(t), we need to find the points where the concavity changes. This occurs when the second derivative, f''(t), changes sign.

Taking the second derivative of f(t), we have:

f''(t) = -2.55t + 9.516

Setting f''(t) = 0 and solving for t, we find:

-2.55t + 9.516 = 0

t ≈ 3.73

Therefore, The inflection point of f(t) is approximately t = 3.73.

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Answer:

coefficent of 18 and degree 3

Step-by-step explanation:

Suggestion, order by highest to lowest degrees. 18x^3+6x^2+x-10.

Answer:

A =12.92 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2 ( 7.6) ( 3.4)

A =12.92 cm^2

Answer:

\( = 12.92 {cm}^{2} \)

Step-by-step explanation:

\(area = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 7.6 \times 3.4 \\ = \frac{25.84}{2} \\ = 12.92 {cm}^{2} \)

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Answer:

d

Step-by-step explanation:

A. Between 500 cm and 700 cmB. Between 550 cm and 650 cmC. Between 5.0 cm and 6.0 cmD. Between 5.5 cm and 6.4 cm A B C D

to round off to the nearest cm of 6. the value must be between 5.5 and 6.4

To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.

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:

p/100*m

Step-by-step explanation:

Ok so first off, we know that,

percent means out of 100

therefore,

p/100 *of* (means multiplication in math) m  

So if we would replace *of* with multiplication, the problem would look like this

p/100 * m  and that would be your answer.

the reason we do not simplify it further is because it only asks for the algebraic expression, not the final result!

Cheers! I hope this helps and you can understand now.

An expression is defined as a set of numbers, variables, and mathematical operations. The given statement p% of m can be written in the form of an expression as pm/100.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given statement p% of m can be written in the form of an expression as shown below,

p% of m

p% × m

= (p/100) × m

= (p × m)/100

= pm/100

Hence, The given statement p% of m can be written in the form of an expression as pm/100.

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Answer:

Step-by-step explanation:

72 Pencils

24 calculators

72/24  = 3/1

for Every one calculator 3 Pencils need to be used

Greatest number of Package = 24 as 24 Calculators are there

number of pencils in each package = 3   ( 72/24 = 3)

Answer:

3 pencils will be in each package

Step-by-step explanation:

You divide 727272 by 242424 to get 3

Answer: the answer I’m is 16,800

Step-by-step explanation:

To find the number of kg you multiply the number by 1,000.

16.8*1,000=16,800

\(\\ \sf\longmapsto Area=LB\)

\(\\ \sf\longmapsto 72=4.8L\)

\(\\ \sf\longmapsto L=\dfrac{72}{4.8}\)

\(\\ \sf\longmapsto L=15in\)

Answer: Just find all whole number factors:

Step-by-step explanation:1x72, 2x36

                                                3x24, 4x18

                                                6x12, 8x9

Total 6 possible dimensions

Answer:

radian

Step-by-step explanation:

A radian is a unit of angle that is equal to the angle created at the center of a circle whose arc is equal in length to the radius.

The measure of an angle at the center is 1 radian.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

Given:

Radius is equal to arc length.

To find the measure of the angle at the center:

We have the formula,

Angle in radian = arc length / radius

Let a be the arc length,

then a be the radius.

Substituting the values,

Angle in radian = a/a

Angle in radian = 1 radian

Therefore, 1 is the measure of an angle at the center.

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