a family is thinking about buying a house costing 350,000. they will pay 20% down, and the rest to be amoritized over 30 years

Answer:25

Step-by-step explanation:

1 , 1+3 ,1+3+5 ,1+3+5+7,_

1 , 4 , 9 , 16 ,_

From 1 to 4 there is a difference of 3

From 4 to 9 there is a difference of 5

From 9 to 16 there is a difference of 7

From 16 to x there should be a difference of 9 because all the differences mentioned above are all odd numbers so that is the pattern in the sequence

16+9=25

Answer:

60 contain 6 tens

then

60+10

contain

7 tens

the

correct answer

is

7 tens

Answer:

6 tens + 1 ten = 7 tens

Step-by-step explanation:

6 tens = 60

1 ten = 10

7 tens = 70

Answer:

c

Step-by-step explanation:

diameter is 2x the radius

Answer:

C. 2 meters

Step-by-step explanation:

If you have the radius multiply it by 2 to get the diameter.

If you have the diameter divide it by 2 to get the radius.

Answer:

Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would if he uses the same ratio?

Step-by-step explanation:

Kent is making a scale model of his favorite train. The actual train is 12 feet long and 4 feet wide. Kent wants his model to be 6 inches in length. Which would be the width if he uses the same ratio?

The approximate mean of the frequency distribution is of 35.2 miles gallon.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.

As we are given a frequency distribution, we take the midpoint of each interval, and thus the sum of the observations is given as follows:

10 x 30 + 12 x 35 + 3 x 40 + 4 x 45 = 1020.

There are 29 observations, hence the mean of these observations is given as follows:

1020/29 = 35.2 miles gallon.

The frequency distribution is given as follows:

28-32 10

33-37 12

38-42 3

43-47 4

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The original price of the bracelet was £1400.

Percentage is a way of expressing a proportion or a fraction as a part of 100. It is denoted using the symbol "%". For example, 50% means 50 out of 100, or half, while 25% means 25 out of 100, or one-quarter.

We can start by using the information given to set up an equation that relates the original price of the bracelet with the sale price and the percentage reduction:

original price x (100% - 70%) = sale price

Simplifying the percentage reduction:

original price x 30% = sale price

Substituting the given sale price (£420):

original price x 30% = £420

To solve for the original price, we need to isolate it on one side of the equation. We can do this by dividing both sides by 30% (which is the same as multiplying by 100/30 or 10/3):

original price = sale price / 30% = £420 / 30% = £1400

Therefore, the original price of the bracelet was £1400.

Complete question - A jewelry shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.

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Answer:

x = 19 cm

Step-by-step explanation:

perimeter = 46 = 2(x + 4)

2x + 8 = 46

2x = 38

x = 19

Answer:

tan A = 6/5

Step-by-step explanation:

They give you cscA. This gives you info to also know sinA. csc and sin are reciprocals (just flip csc over to find sin).

Also, sin is OPP/HYP.

This means that

sin A is 6/root61.

6 is the side opposite from A. And root61 is the hypotenuse.

We can use pythagorean thm to find the other leg of the triangle.

see image.

tan A = OPP/ADJ

tan A = 6/5

Answer:

114

Step-by-step explanation:

angle one is vertical opposite angle and also angle on a straight line

The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.

The system of equations given is:

x = 4y

x = 8 + 2y

You can solve the system by setting the two expressions for x equal to each other:

4y = 8 + 2y

2y = 8

2y / 2 = 8 / 2

y = 4

Substitute y = 4 into the first equation to solve for x:

x = 4 x 4

= 16

So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.

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Answer:

V = 64.6

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos V = adj side/ hypotenuse

cos V = 3/7

Taking the inverse cos of each side

cos ^-1 ( cos V) = cos ^-1 (3/7)

V=64.62306

Rounding to the nearest tenth

V = 64.6

Answer:

V=64.6

Step-by-step explanation:

the same thing as other guy, lol

To show that the point (å, ä) is on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ), we need to demonstrate two things: that the point lies on the line segment, and that it is equidistant from the endpoints.

1. Determine the midpoint of the line segment:

  - The midpoint coordinates (\(x_{mid, y_{mid\)) can be found using the midpoint formula:

    \(x_{mid\) = (x1 + x2) / 2 and \(y_mid\) = (y1 + y2) / 2, where (x1, y1) and (x2, y2) are the coordinates of the endpoints.

    In this case, we have (x1, y1) = (Ů, ü) and (x2, y2) = (ĝ, ġ).

2. Calculate the midpoint coordinates:

  - Substitute the values into the midpoint formula to find (x_mid, y_mid).

3. Find the slope of the line segment:

  - Use the slope formula: slope = (y2 - y1) / (x2 - x1).

    Apply the formula to the endpoints (Ů, ü) and (ĝ, ġ) to determine the slope of the line segment.

4. Determine the negative reciprocal of the line segment's slope:

  - Take the negative reciprocal of the slope calculated in the previous step. The negative reciprocal of a slope m is -1/m.

5. Write the equation of the perpendicular bisector:

  - Using the negative reciprocal slope and the midpoint coordinates (\(x_{mid\), \(y_{mid\)), write the equation of the perpendicular bisector in point-slope form: y - \(y_{mid\) = \(m_{perp\) * (x - \(x_{mid\)), where \(m_{perp\) is the negative reciprocal slope.

6. Substitute the point (å, ä) into the equation:

  - Replace x and y in the equation of the perpendicular bisector with the coordinates of the point (å, ä). Simplify the equation.

7. Verify that the equation holds true:

  - If the equation is satisfied when substituting (å, ä), then the point lies on the perpendicular bisector.

By following these steps, you can demonstrate that the point (å, ä) lies on the perpendicular bisector of the line segment with endpoints (Ů, ü) and (ĝ, ġ).

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The area of the parking lot, given the dimensions of the lot can be found to be 9, 600 meters ².

To find the area of the parking lot, you need to divide the given shape into smaller shapes such that the area of these shapes can be found.

The area of the top rectangle would be:

= Length x Width

= 100 x 40

= 4, 000 meters ²

The area of the other rectangle :

= 40 x 140

= 5, 600 meters ²

The area of the parking lot is:

= 4, 000 + 5, 600

= 9, 600 meters ²

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Hey there! :)

Answer:

≈ $41330

Step-by-step explanation:

Begin by finding the area of the racetrack by subtracting the area of the smaller circle from the larger one.

Calculate the areas of the circles using: A = πr²

Larger circle:

A = π145²

A = 21025π = 66018.5 ft²

Smaller circle:

A = π80²

A = 6400π = 20096 ft²

Subtract the smaller from the larger of the areas:

66018.5 - 20096 = 45922.5 ft²

Divide this by 100 to solve for the amount of asphalt needed:

45922.5 / 100 = 459.225.

Since asphalt costs $90 dollars per 100 ft², then:

459.225 · 90 = $ 41330.25 ≈ $41330 rounded.

The amount of money in account A is decreasing by 8% per year.

The account that recorded a greater percentage change in amount of money over the previous year is account B.

From the information, the amount f(x), in dollars, in account A after x years is represented by the function below:

f(x) = 9,628(0.92)x

Therefore, this shows a decrease and the percentage will be:

= 1 - 0.92

= 0.08

= 8%

The account that recorded a greater percentage change will be:

Account B = (8,972 - 8,074.80) / 8,972 × 100

= 10%

Therefore, B has a higher percentage.

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Answer:

Charlotte has 23 of her book left to read. She can read 29 of it each day.

Step-by-step explanation:

Answer:

66.6666666667%

Step-by-step explanation:

12/18 = x/100

cross product

18x = 12(100)

18x = 1200

18× = 1200

__ _____

18 18

x=66.6666666667%

The actual base of the building is 1890 square feet.

A rectangle is a two-dimensional figure with length and width.

The area of a rectangle is Length x width.

We have,

1 inch = 15 feet

Rectangular base:

Length = 4.2 in

Width = 2 in

So,

4.2 in = 4.2 x 15 feet = 63 feet

2 in = 2 x 15 = 30 feet

Now,

The actual base of the building.

= 63 x 30

= 1890 square feet

Thus,

1890 square feet.

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The table that includes that information correctly when the problem says an object's displacement is 88.8 m is table B.

It should be noted that a displacement simply means the vector quantity that illustrates how far a particular place is.

In this case, the table that includes that information correctly when the problem says an object's displacement is 88.8 m is table B.

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Answer:A  dude if you already know it say it to make it easier for people don't be lazy

Step-by-step explanation:

The triangles are congruent if two of one triangle's sides and its included angle are the same as the corresponding sides and angles of another triangle.

The complete question is,

To what extent can the congruence of the triangles be demonstrated?

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the answer is 6 she can buy 6sandwiches

The value of side length x in diagram a) is 4.3mm and side length x in diagram b) is 309.7 m.

The figures in the image are right triangles.

A)

angle D = 17 degree

Adjacent to angle D = 14 mm

Opposite to angle D = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( 17 ) = x/14

x = tan( 17 ) × 14

x = 4.3mm

B)

angle Z = 82 degree

Adjacent to angle Z = 43.1 m

Hypotenuse = x

Using trigonometric ratio,

cosine = adjacent / hypotenuse

cos( 82 ) = 43.1 / x

x = 43.1 / cos( 82 )

x = 309.7 m

Therefore, the measure of x is 309.7 meters.

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Answer:

2579678

...

...

....

....

Answer:

2579678

Step-by-step explanation:

Answer:

162

Step-by-step explanation:

12²+6² ÷ 2

= 144 + 36 ÷ 2

= 144 + 18

= 162

The area of the figure is 225 ft²

From the figure shown, we have that it is made up of a triangle and a rectangle.

Now, the formula for calculating the area of a triangle is expressed as;

A = 1/2bh

Such that;

Substitute the values

Area = 1/2 × 10 × 15

Multiply the values

Area = 75 ft²

Area of the rectangle is;

Area = length × width

Area = 10(15)

Area = 150 ft²

Total area = 225 ft²

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Given the function :

The graph of the function will be as shown in the following picture

The function will have a vertical asymptote which is the line : x = 0

As shown in the figure :

Domain = ( 0 , ∞ )

Range = ( -∞ , ∞ ) or all real numbers

Translation 5 units left means subtracting 5 to each x-coordinates of the vertices of the rectangle. Thus, the coordinates of the new rectangles are as follows:

Plotting the points and connecting the vertices, we have the following:

ANSWER

27 balls

EXPLANATION

The points scored by the other team are the number of balls Diana and Becky didn't stop.

We know that if the other team would make 10 attempts of goal, only 1 would result in a point. The ratio of scored points to stopped balls is 1:9

Let x be the number of balls they stopped in this match. The other team scored 3 points, so the ratio is 3:x. We know that the ratio should be constant, which means,

To solve this, we have to multiply both sides by x. On the right side, the x cancels out,

And then multiply both sides by 9,

Hence, Diana and Becky stopped 27 balls.

0.120 is the probability that if 8 workers are selected.

What is the simple definition of probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

                 The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is. The probability formula is presented as follows P(E) = Number of Favorable Outcomes/Number of Total Outcomes.

(8 5)(0.4)^5(1-0.4)^8-5,

= 0.120

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Answer:

A. Using the lens equation, 1/p + 1/q = 1/f, and substituting f = 5 cm and q = 7 cm, we can solve for p:

1/p + 1/7 = 1/5

Multiplying both sides by 35p, we get:

35 + 5p = 7p

Simplifying and rearranging, we get:

2p = 35

Therefore, the distance from the lens to the object, p, is:

p = 35/2 cm

B. Solving the lens equation, 1/p + 1/q = 1/f, for q, we get:

1/q = 1/f - 1/p

Substituting f = 5 cm, we get:

1/q = 1/5 - 1/p

Multiplying both sides by 5qp, we get:

5p = qp - 5q

Simplifying and rearranging, we get:

q = 5p / (p - 5)

Therefore, the expression that gives q as a function of p is:

q = 5p / (p - 5)

C. Here is a sketch of the graph of q(p):

The graph is a hyperbola with vertical asymptote at p = 5 and horizontal asymptote at q = 5. The image distance q is positive for object distances p greater than 5, which corresponds to a real image. The image distance q is negative for object distances p less than 5, which corresponds to a virtual image.

D. Taking the limit of q as p approaches infinity, we get:

lim q(p) = 5

This represents the horizontal asymptote of the graph. As the object distance becomes very large, the image distance approaches the focal length of the lens, which is 5 cm.

Taking the limit of q as p approaches 5 from the positive side, we get:

lim q(p) = -infinity

This represents the vertical asymptote of the graph. As the object distance approaches the focal length of the lens, the image distance becomes infinitely large, indicating that the lens is no longer able to form a real image.

In order for the lens to form a real image, the object distance p must be greater than the focal length f. When the object distance is less than the focal length, the lens forms a virtual image.