Jenny’s home appraised for 550,000. Her asking price was 560,000 and the properties sold for 575,000. What were the new owners pay in property taxes?

Answer:

d. x = 7

Step-by-step explanation:

\(\frac{32}{8} = \frac{28}{x}\)

Cross multiply, the denominator "8" is multiplied by numerator "28", while the numerator "32" is multiplied by denominator "x":

8 * 28 = 224

32 * x = 32x

\(32x = 224\)

Divide both sides by 32:

\(\frac{32}{32} = \frac{224}{32}\)

[x = 7]

Answer:

45 + .25x

Step-by-step explanation:

x represents the thing that changes, assuming this is for any given month and not multiple, 45 + .25x would be the answer

Answer:

\(X \sim N(17.2,5.4)\)  

Where \(\mu=495\) and \(\sigma=120\)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

\(z=\frac{x-\mu}{\sigma}\)

And replacing we got:

\( z=\frac{16-17.2}{5.4}= -0.22\)

And the answer for this case would be \(z =-0.22\)

Step-by-step explanation:

Let X the random variable that represent the scores for the SAT of a population, and for this case we know the distribution for X is given by:

\(X \sim N(17.2,5.4)\)  

Where \(\mu=495\) and \(\sigma=120\)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

\(z=\frac{x-\mu}{\sigma}\)

And replacing we got:

\( z=\frac{16-17.2}{5.4}= -0.22\)

And the answer for this case would be \(z =-0.22\)

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

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Answer:

angle 1=149°

angle 2=31°( because they are alternating angles)

The sum of the internal angles of the polygons are

a) The sum is A = 540°

b) The sum is A = 360°

c) The sum is A = 1800°

The sum of the interior angles of a polygon is given by the formula

Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

where n is the number of sides

θ = angle in degrees

Given data ,

Let the sum of the internal angles of a polygon be represented as A

Now , the value of A is

The sum of exterior angle of n polygon is = 360°

Now ,

a)

The number of sides of the polygon = 5 sides

So , Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

Substituting the value of n = 5 in the equation , we get

nθ = 180° ( 5 - 2 )

nθ = 180° x 3

nθ = 540°

b)

The number of sides of the polygon = 4 sides

So , Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

Substituting the value of n = 4 in the equation , we get

nθ = 180° ( 4 - 2 )

nθ = 180° x 2

nθ = 360°

c)

The number of sides of the polygon = 12 sides

So , Sum of Interior angles of a polygon with n sides is

nθ = 180° ( n - 2 )

Substituting the value of n = 12 in the equation , we get

nθ = 180° ( 12 - 2 )

nθ = 180° x 10

nθ = 1800°

Hence , the sum of the internal angles of the polygon is solved

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Answer:

A CHEAPER

Step-by-step explanation:

49.95+4.39=54.34

47.68+6.95=54.63

A) 54.34<54.63 B)

Answer:

Step-by-step explanation:

At the end of the loan/investment, you can take the accumulated value and subtract that from the principle/PV to get the total interest

The total interest earned can be determined by subtracting the principal from the future value of the loan.

There are two types of interests : simple interest and compound interest.

Compound interest is a type of interest in which the principal and interest already accumulated also earn an interest. While for simple interest it is only the principal that earns interest.

For example, if a loan of $4000 earns 10% interest compounded yearly, the future value of the the amount in 5 years is:

$4000 x (1.1)^5 = 6442.04

The interest earned over the 5 years can be determined by subtracting the  cost of the loan from the future value of the investment

Interest = 6442.04 - $4000 = $2442.04

Another example, if a loan of $4000 earns 10% simple interest, the interest of the loan after 5 years is:

$4000 x 0.1 x 5 = $2000

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The limit of the difference quotients for f(x) = x^2 + 2x + 1 as x approaches -1 is indeterminate.

To find the limit of the difference quotients for the function f(x) = x^2 + 2x + 1 as x approaches -1, we need to evaluate the following expression:

lim(x→-1) [f(x) - f(-1)] / (x - (-1))

First, let's substitute the values into the expression:

lim(x→-1) \([(x^2 + 2x + 1) - (-1^2 + 2(-1) + 1)] / (x + 1)\)

Simplifying further:

lim(x→-1) \([(x^2 + 2x + 1) - (1 - 2 + 1)] / (x + 1)\)

lim(x→-1)\([x^2 + 2x + 1 - 0] / (x + 1)\)

lim(x→-1) \((x^2 + 2x + 1) / (x + 1)\)

Now, we can directly substitute x = -1 into the expression:

\((-1^2 + 2(-1) + 1) / (-1 + 1)\)

(1 - 2 + 1) / (0)

0 / 0

We have obtained an indeterminate form of 0/0. This indicates that we need to further simplify the expression or use other techniques, such as L'Hôpital's rule, to evaluate the limit. However, without additional information or simplification, we cannot determine the precise value of the limit at x = -1.

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Answer:

i think 125

Step-by-step explanation:

Answer:

790

Step-by-step explanation:

You put 5 instead of x and you calculat

6*5^3 +8*5= 750+40=790

Hello!

We will go tu use the pythagorean theorem!

So:

BA² = BC² + AC²

AC² = BA² - BC²

AC² = 52² - 20²

AC² = 2304

AC = √2304

AC = 48

Answer:

The equation is y = -x - 5.

Step-by-step explanation:

First find the slope by doing -3-0 over -2 - (-5) which can be simplified to -3-0 over -2+5. You'll get -3/3 which equals -1. Then, use slope intercept form which is y = mx + b. Substitute your values. X = -2, Y = -3, and M = -1. After substituting your values, your equation should look like this: -3 = -2(-1) + b. Your solving for b. -2 x -1 = 2. -3 = 2 + b. -3 - 2 = -5. B = -5. In the end, your equation should be y = -1x - 5.

Answer:

14,460.

Step-by-step explanation:

14,456 up by 4. anything 6 or above goes up. the tenth place is the second to last number.

nine hundred forty-two ten-thousandths:

1. Write the first part as a number: nine hundred forty-two

nine hundred: 900

forty-two: 42

900+42= 942

2. Identify the position of number above in the decimal knowing that ten-thousandths ends in 4 disgits after the decimal point (the last digit of number above needs to be in the ten-thousandths position):

Answer:

It is multiplied by a factor of 8

Step-by-step explanation:

Every month, the number of people who receive the email is multiplied by a factor of 8.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

Venera sent a chain letter to her friends, asking them to forward the letter to more friends.

The relationship between the elapsed time t, in months, since Venera sent the letter, and the number of people, P(t), who receive the email is modeled by the following function:

\(\rm P(t) = 2^{3t+7}\)

Every month, the number of people who receive the email is multiplied by a factor will be

For t = 2, we have

P(2) = 2³⁽²⁾⁺⁷

P(2) = 2¹³

For t = 3, we have

P(3) = 2³⁽³⁾⁺⁷

P(3) = 2¹⁶

Then the factor will be

⇒ P(3) / P(2)

⇒ 2¹⁶ / 2¹³

⇒ 2³

⇒ 8

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if she worked "x" hours lifeguarding at $13 per hour, that means she earned a total of 13*x or 13x, if she worked washing cars for "y" hours at $12 per hour that means she made on those hours 12*y or 12y, and we know that whatever their sum combined is a grand total of $150.

Last week she worked a total of 12 hours doing both, namely x + y = 12.

\(\begin{cases} 13x+12y &= 150\\ x + y &= 12 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{using the 2nd equation}}{x +y = 12}\implies y = 12 -x \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{13x+12(12-x) = 150}\implies 13x+144-12x = 150\implies x + 144 = 150 \\\\\\ \boxed{x = 6}~\hfill \stackrel{\textit{we know that}}{y = 12 -x}\implies \boxed{y = 6}\)

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:

Z= 0.253

Z∝/2 = ± 1.96

Step-by-step explanation:

Formulate the null and alternative hypotheses as

H0 : u1= u2 against Ha : u1≠ u2 This is a two sided test

Here ∝= 0.005

For alpha by 2 for a two tailed test Z∝/2 = ± 1.96

Standard deviation = s= 15

n= 10

The test statistic used here is

Z = x- x`/ s/√n

Z= 2058- 2046 / 15 / √10

Z= 0.253

Since the calculated value of Z= 0.253 falls in the critical region we reject the null hypothesis.

There is  evidence at the 0.05 level that the doors are too short and unusable.

Answer: 120 yds

Step-by-step explanation:

48+30+24+18+120 yds

Answer:

Im pretty sure its d

Step-by-step explanation:

im not sure but i’m sorry if its wrong

Answer:

D. 180

Step-by-step explanation: multiply

Answer:

95

Step-by-step explanation:

dct equals 140, dct also equal det plus edc, so 140 - 45 = 95

The frequency which is to filled in the table is 1, 4, 2 and 4.

Given that;

All shopping time of ten shopkeeper:

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.

Since, Shopping time is given as ,

25, 29, 25, 18, 24, 28, 36, 25, 33, 37

And, Intervals for which frequency is given is ,

18 to 22, 23 to 27, 28 to 32, 33 to 37.

Hence, WE get;

Numbers in the range 18 to 22 = 18  therefore 1

Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4

Numbers in the range 28 to 32 = 29, 28  therefore 2

Numbers in the range 33 to 37 = 36, 33, 37,  therefore 3

Hence, the frequency which is to filled are 1, 4, 2 and 4.

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Direct distance from the base of the Space Needle to Kasie's house = 1429 feet.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the observation deck AB = 520 feet

Angle of depression = 70°

Distance of the Space needle base to house BC = ?

By the figure,

tan70° = AB/BC

BC = tan70°(AB)

BC = 2.7475(520)

BC = 1428.7 feet

Distance of the Space needle base to house to nearest foot = 1429 feet

Hence, 1429 feet is the distance between base of the Space Needle to Kasie's house.

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since is an eigenvector of with eigenvalue , we can express the second column of the matrix as . So the matrix is given by:

\($$\begin{bmatrix}\lambda_1 & 0 \\0 & \lambda_2\end{bmatrix}$$\)

This matrix is a diagonal matrix, which is a matrix with all entries except for those on the main diagonal set to zero. In this matrix, the main diagonal elements, which are the elements on the diagonal from the upper left to the lower right, are labelled \(\lambda_1$ and $\lambda_2\)This matrix is symmetric, meaning that the transpose of the matrix is equal to the original matrix. The matrix represents a linear transformation in which the eigenvalues \(\lambda_1$ and $\lambda_2\) represent the scalar factors by which the vectors in the transformed space are scaled. The eigenvalues of this matrix can be used to determine the magnitude of the transformation it performs.

The eigenvalues of this matrix can be calculated by solving the equation

\(\det(\mathbf{A} - \lambda \mathbf{I}) = 0\)

where \(\mathbf{A}\) is the matrix and \(\mathbf{I}\) is the identity matrix.

In this case, we have

\($\det\begin{bmatrix}\lambda_1 - \lambda & 0 \\0 & \lambda_2 - \lambda\end{bmatrix}\)

=\((\lambda_1 - \lambda)(\lambda_2 - \lambda)\) = 0.

Solving this equation for \(\lambda$, we get $\lambda = \lambda_1\) and \(\lambda = \lambda_2\)Therefore, the eigenvalues of this matrix are \(\lambda_1 and \lambda_2\)

the complete question is : use an eigenbasis to determine a matrix consider an matrix such that is an eigenvector of with eigenvalue and is an eigenvector of with eigenvalue . determine the Given an matrix such that is an eigenvector of with eigenvalue and is an eigenvector of with eigenvalue , what is the matrix.

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\( {5}^{ {3}^{5} } = {5}^{3 \times 5} = {5}^{15} \)

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Thus the correct answer is (( B )) .

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Answer:

I think that the answer is 432.

Step-by-step explanation:

6x2y3.We have x as 6 and y as 2.So we replace them with their numbers.

We'll have 6*6*2*2*3 which will give us 432. I HOPE THIS HELPS.