14. A certain real estate agent uses what he calls a step- strategy to sell houses. He puts a house on the market at a higher-than - expected selling price and if it hasn't sold in two weeks, he drops the price by 5%. If it still hasn't sold in another 2 weeks , he drops the price by another 5 %. After that , he continues to drop the price by 3% every two weeks until it reach es a cut -off amount assigned by the home owner , or the house sells , whichever comes first . If a house is originally listed at $200,000 and the homeowner sets a cut -off amount of $166,000 , what is the final selling price given that the house sells after being on the market for 9 weeks ? A ) $162,901.25 B) $164,737.48 $166,000.00 D ) $169,832.45

[tex]\frac{3}{y}=18 \\ \\ 3=18y \\ \\ y=1/6 \\ \\ \implies y+2=\boxed{13/6}[/tex]

The number of boxes of cookies Kai buy : independent variable

The amount of the cookies will cost in dollars : dependent variables      

Based on the given conditions, formulate,

Each box of cookies costs is = \$4$4dollar (sign, 4).

Cookie represented by c

The required equation is,

d = 4cd = 4cd = 4c

The price is determined by the number of cookies purchased.

c is the independent variable

when c is changes d is changed

So, d is the dependent variable    

variables of the equation.          

So,

We can write,

d = 4c

where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.

Then, the cost of each box of cookies is $4.

It means,

The cost of 1 box of cookies is = $4.

The cost of 2 boxes of cookies is = $(4+4)  = $(2×4)

The cost of 3 boxes of cookies is = $(4+4+4)  = $(3×4)

The cost of cookies = (Number of boxes × 4)

The required equation is,

d = 4c

where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.

Therefore,

The boxes of cookies Kai buy : independent variable

The cookies will cost in dollars : dependent variables    

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Boxes of cookies (c) is Independent.

Dollars spent (d) is Dependent.

The probability to win 25$ and 2$ are 1/18 and 1/6

Probability is the ratio of favorable cases to total sample cases.

If two dice are rolled,

Total sample cases or combinations= 6x6=36

The favorable cases to get 2 or 12 ={1,2}{6,6}= 2 total cases

The favorable cases to get 7 ={1,6}{6,1}{2,5}{5,2}{3,4}{4,3}=6 cases

The probability to win 25$=2/36=1/18

The probability to win 2$=6/36=1/6

Thus the probability to win 25$ and 2$ are 1/18 and 1/6

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Main Answer: $1.27

Given data:

If you rolled two dice and got a sum of 2 or 12, you won $25. If you rolled a 7, you won $2. Any other roll was a loss. It cost $1 to play one game with one roll of the dice.

Solving part

Step-by-step explanation:

For 2 and 12

Number of possible outcomes = 2

Gain = 25 -1 = $24

For 7

Number of possible outcomes = 6

Gain = 5-1 = $4

For others

Number of possible outcomes = 36-(4+6) = 26

Gain = -$1

Expectation of the gain;

X= (2×$24 + 6×$4 - 26×1)/36

X = $46/36

X = $1.27

Final Answer: $1.27

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Part 1

∠FBA = 42° (alternate interior angles)

Part 2

∠FDC = 23° (linear pair)

∠BAD = 23° (alternate interior angles)

Part 3

∠AFBA = 115° (sum of angles in a triangle)

The distance between the two points is 8.6 units

The points are given as

(4, 9) and (9, 2)

The distance between the two points is then calculated as

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(4 - 9)^2 + (9 - 2)^2

Evaluate the sum of exponents

So, we have

d = √74

Evaluate the exponents

So, we have

d = 8.6

Hence, the distance between the two points is 8.6 units

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a) The lowest cost per tiger is $2.74, according to Company C. (Divide the costs by how many stuffed animals there are; in this case, it's $41.10/15).

b) They would make $2.26 profit for each tiger sold.

You must divide the pricing by the anticipated number of sales to determine how much money customers must pay for each plush toy. For Company C, the calculation would be $41.10 divided by 15. You'll discover that Company C is the least expensive of all the companies when you do that.

By deducting $2.74 from $5, you can calculate their profit.

Although they had to spend $2.74 to purchase the plush animals, they are selling it for $5. $5 - $2.74 = $2.26

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Answer: To the nearest thousand.

Step-by-step explanation:

   First, we will round 126,945 to the requested place values;

(it says ten thousand once, so I'm going to include hundred thousand)

hundred thousand ➜ 126,945 ➜ 100,000

ten thousand ➜ 126,945 ➜ 130,000

thousand ➜ 126,945 ➜ 127,000

   Next, we will subtract these values from 126,945, and see which absolute value is the smallest.

hundred thousand ➜ 126,945 - | 100,000 | = 26,945

ten thousand ➜ 126,945 - | 130,000 | = 3,050

thousand ➜ 126,945 - | 127,000 | = 55

   The rounded amount that is closest to the actual attendance is thousand.

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Answer:

The answer is 28.26 square feet.

Step-by-step explanation:

The area of a circle is [tex]\pi r^{2}[/tex], so if the radius is 36, [tex]\pi *36^{2}[/tex] is equal to about 4071.5. The formula for converting square inches to square feet is to divide by 144, and [tex]\frac{4071.5}{144}[/tex] is around 28.26.

Answer: 18=18

Step-by-step explanation:

We need to know about the perimeter of a rectangle to solve this problem.The length of the field is 131 yards and width is 46 yards.

The perimeter of a rectangle is the summation of it's length and breadth, the longer side of a rectangle is called length and the shorter side is called breadth. The perimeter of a rectangle is given by the formula 2(l+b) where l is the length of the rectangle and b is the breadth of the rectangle. In this question we have been told the perimeter of the rectangular field is 354 yards. The length of the field is 7 yards less than triple the width. Let the width of the field be x yard, then the length is

length=3x-7

Then perimeter in terms of x= 2(l+b)=2((3x-7)+x)=2(4x-7)=8x-14

8x-14=354

8x=368

x=46

Then breadth=46 yards

length =3x-7=138-7=131 yards

Therefore we found out the dimensions of the field to be, the length is 131 yards and breadth is 46 yards.

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There are 2 pictures.

1. The equation 4x=7(x-3) is x=7.

2. Given ∠2≅∠4 and ∠2 and ∠3 are supplementary. we have proved ∠1≅∠3.

Given that,

There are 2 pictures.

1st picture is

We have to solve the given equation.

Equation is 4x=7(x-3)------> given

4x=7x-21 ---------> multiplying 7 to x and -3

4x-7x=-21

-3x=-21 --------> taking 7x to right side and subtracting 4x and 7x

x=-21/-3

x=7--------> taking -3 to left we get divided by 21, after division we got 7

Therefore, the equation 4x=7(x-3) is x=7.

2nd picture is

We have to prove the statement.

∠2≅∠4 --------> given

m ∠2=m ∠4 --------> angle congruence postulate

∠2 and ∠3 are supplementary ----------> given

m ∠2+m ∠3=180° ---------> Definition of supplementary angles

∠1 and ∠4 are supplementary ------> ∠2 ≅∠4 and ∠2 and ∠3 are supplementary then ∠2 and ∠1 also supplementary then ∠1 and ∠4 are supplementary.

m ∠1+m ∠4=180° --------> Definition of supplementary

m ∠1+m ∠4=m ∠2+m ∠3 ------> from step 4 we can write

m ∠1+m ∠4=m ∠4+m ∠3 -------> we know ∠2≅∠4

m ∠1=m ∠3 --------> ∠4 is remove from both sides.

∠1≅∠3 --------> definition of midpoint

Therefore, the statement is proved.

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Answer:

1/27 in^3.

Step-by-step explanation:

1/3 * 1/3 * 1/3

Answer:

$507 958.20

Step-by-step explanation:

11 100 x   table value for 20 years , 8%

11,100 x 45.762 = $ 507,958.20

Answer:

Can you please send the picture of the graph

Step-by-step explanation:

Answer:

The y-intercept is (0, 4/3) and the equation of is y = -1/6x + 4/3. if the y-coordinate of point c is 13, its x-coordinate is -70

The equation of a line in slope-intercept form is y = mx + b

where;

m is the slope

b is the y-intercept

Given the coordinate points (14, -1) and (2, 1)

Slope = 1-(-1)/2-14

Slope = 2/-12

Slope = -1/6

Determine the y-intercept

1 = -1/6(2) + b

1 = -1/3 + b

b = 1 + 1/3

b = 4/3

The given equation of the line is y = -1/6x + 4/3

For the y-intercept

y = -1/6(0) + 4/3

y = 4/3

Hence the y-intercept is (0, 4/3)

For the x-intercept

0 = -1/6(x) + 4/3

1/6x = 4/3

24x = 3

x = 1/8

Hence the x-intercept is (1/8, 0)

If the y-coordinate of point C is 13, hence;

y = -1/6x + 4/3

13 = -1/6x + 4/3

-1/6x = 13 - 4/3

-1/6x = 35/3

-1/2 x = 35

x = -70

The y-intercept is (0, 4/3) and the equation of is y = -1/6x + 4/3. if the y-coordinate of point c is 13, its x-coordinate is -70

Answer: -2√10

Step-by-step explanation:

-1√10 - 1√10 = -2√10.

Since they are like terms, you'd simply just collect the two together. Think of it as just doing -1 - 1 = -2 and adding the radical behind the two.

You'd also leave it as √10 because you're unable to break it down or simplify it further than that.

Hope I was able to help you out.

Answer:

14[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Make equivalent fractions with all the same denominator.  Let's us 12 as our common denominator

[tex]\frac{1}{3}[/tex] x [tex](\frac{4}{4})[/tex] = [tex]\frac{4}{12}[/tex]  Another name for [tex]\frac{4}{4}[/tex] is 1.  (4 divided by 4 is 1)  I am just making an equivalent fraction of [tex]\frac{1}{3}[/tex]

[tex]\frac{3}{4}[/tex] x [tex](\frac{3}{3})[/tex] = [tex]\frac{9}{12}[/tex] another name for [tex]\frac{3}{3}[/tex] is 1 (3 divided by 3 is 1)  I am just making an equivalent fraction of [tex]\frac{3}{4}[/tex].

Now that my denominators are all the same size I can see how many 12's I have.

6 [tex]\frac{4}{12}[/tex] + 4 [tex]\frac{9}{12}[/tex] + 3 [tex]\frac{7}{12}[/tex]  I can rearrange this to add all the whole numbers together and all of the fractions together.

6 + 4 + 3 = 13

[tex]\frac{4}{12}[/tex] + [tex]\frac{9}{12}[/tex] + [tex]\frac{7}{12}[/tex] = [tex]\frac{20}{12}[/tex]  I have 20 12ths.  every [tex]\frac{12}{12}[/tex] makes another whole, so

[tex]\frac{20}{12}[/tex]  1 whole with [tex]\frac{8}{12}[/tex] Left over.  If we put this all together, we have

13 + 1  + [tex]\frac{8}{12}[/tex]

14 [tex]\frac{8}{12}[/tex]  To simplify this.  I will divide [tex]\frac{8}{12}[/tex] ÷ [tex]\frac{4}{4}[/tex] = [tex]\frac{2}{3}[/tex].

the final answer is 14 [tex]\frac{2}{3}[/tex]

Answer:

16

Step-by-step explanation:

Difference means subtract

Let the two numbers be x and y

x-y = 6

Let y be the smaller number

2y = x+4

Using substitution

x = 6+y

2y = 6 +y +4

2y = y+10

Subtract y from each side

2y-y = y+10-y

y = 10

Now we need to find x

x-y = 6

x-10 = 6

Add 10 fo each side

x-10+10 =6+10

x = 16

Answer:

28 degrees

Step-by-step explanation:

We know that (4x + 7) + (2x + 5) add up to a straight angle = 180 degrees, so we have the equation 4x + 7 + 2x + 5 = 180.

By combining like terms, we get 6x + 12 = 180.

Subtract 12 from both sides of the equation to get 6x = 168. Divide both sides by 6 and you get x = 28.

Answer:

139/200

Step-by-step explanation:

.695 can be represented as 695/1000. Divide the numerator and denominator by 5, you get 139/200.

Answer: 139/200

Step-by-step explanation:

I am guessing

The simplified expression of 4y - 4(-2z + 6y) - 2z is -20y  + 6z

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

4y - 4(-2z + 6y) - 2z

Open the bracket

4y - 4(-2z + 6y) - 2z = 4y + 8z - 24y - 2z

Collect the like terms

4y - 4(-2z + 6y) - 2z = 4y - 24y  + 8z - 2z

Evaluate the like terms

4y - 4(-2z + 6y) - 2z = -20y  + 6z

Hence, the simplified expression of 4y - 4(-2z + 6y) - 2z is -20y  + 6z

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Answer:

42

Step-by-step explanation:

because its 42

Answer:

For the first 15 minutes his average speed is 40 mph. He then stops for 25 minutes. He then completed the journey at an average speed of 45 mph. The total journey time is 1 hour.

Answer:

500

Step-by-step explanation:

The best estimation of the current of the jeans is $39.

Percentage is the value per hundredth.Fractions and decimas can be converted into percentage by multiplying them with 100.

According to the given question a pair of jeans was 31 dollars but due to an increase the price went up to 129% of what it was originally.

Let us assume that the new price of the jeans be x dollars.

So, 129% of 31 which is (129/100) is the new price.

∴ (129/100)×31 = x

1.29×31 = x.

x = 39.99 dollars.

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Answer:

[tex]\sf y = \dfrac{x }{\boxed{26}} +\boxed{-2}[/tex]

Step-by-step solution:

[tex]\rightarrow \sf x - 26y = 52[/tex]

[tex]\rightarrow \sf - 26y = 52-x[/tex]

[tex]\rightarrow \sf - 26y = -x + 52[/tex]

[tex]\rightarrow \sf y = \dfrac{-x + 52}{-26}[/tex]

[tex]\rightarrow \sf y = \dfrac{-x }{-26} + \dfrac{ 52}{-26}[/tex]

[tex]\rightarrow \sf y = \dfrac{x }{26} -2[/tex]