Consider a closed economy where the central bank does not play an active role in setting
the interest rate. The following equations describe the economy:

= 100 + 0.75
= 200 ― 2500
= 25 T = 20

(/P)
= ― 10000
= 1500
P = 3

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

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The value of x is 0.6 meters.

To work out the value of x, we can use the formula for pressure:

Pressure = Force / Area

Given that the pressure exerted by the box on the floor is 400 newtons/m² and the force exerted by the box is 360 newtons, we can set up the equation:

400 = 360 / Area

The face of the box in contact with the floor is a rectangle with length 1.5 meters and width x meters. The area of a rectangle is given by the formula:

Area = length * width

Substituting the given values, we have:

400 = 360 / (1.5 * x)

To solve for x, we can rearrange the equation:

1.5 * x = 360 / 400

1.5 * x = 0.9

Dividing both sides of the equation by 1.5:

x = 0.9 / 1.5

x = 0.6

Consequently, x has a value of 0.6 metres.

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Answer:

m>7

Step-by-step explanation:

-7m+10<-39

-7m<-39-10

-7m<-49

7m>49

m>7

Given statements:

First statement:

We know the following:

Therefore, the first statement, when converted into an equation, is;

Let Mack be known as "M" and Cici be known as "C". Then,

Second statement:

We know the following:

Therefore, the second statement, when converted into an equation, is;

Let Mack be known as "M" and Cici be known as "C". Then,

\(\underline{\large\text{Part II: Using the equations obtained to determine the age of Mack}}\)

From the above, we obtained:

When the value of "M", in equation 1, is substituted in equation 2, we get;

When simplified, we get;

Therefore, the age of Cici is 6.5 years.

But, we are asked to determine the age of Mack. Simply substitute the age of Cici in equation 1 to determine the age of Mack.

Therefore, the age of Mack is 13 years.

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Alright! Let's go step by step. We want to understand how the house size relates to the number of residents. In other words, as the number of residents changes, how does the size of the house change? This relationship can be represented by a linear regression equation. The general form of a linear regression equation is:

y = m*x + b

Here:

- y is the dependent variable (in our case, the house size).

- x is the independent variable (in our case, the number of residents).

- m is the slope of the line (how much y changes for a unit change in x).

- b is the y-intercept (the value of y when x is 0).

We'll use the data you provided to calculate 'm' and 'b'. There are different ways to calculate these values, but I'll use a method that is relatively simple to understand:

m = (N * Σ(xy) - Σx * Σy) / (N * Σ(x^2) - (Σx)^2)

b = (Σy - m * Σx) / N

Where:

- N is the number of data points (in our case, 15).

- Σ stands for summation (sum of all values).

Now, let's calculate 'm' and 'b' using the data you provided:

Number of Residents(x) | House size (Sq. ft)(y) | xy | x^2

------------------------|------------------------|----|-----

3                      | 1992                   |5976|9

3                      | 1754                   |5262|9

3                      | 1766                   |5298|9

5                      | 2060                   |10300|25

6                      | 2293                   |13758|36

6                      | 2139                   |12834|36

3                      | 1836                   |5508|9

4                      | 1924                   |7696|16

6                      | 2321                   |13926|36

4                      | 2060                   |8240|16

3                      | 1769                   |5307|9

4                      | 1955                   |7820|16

5                      | 2309                   |11545|25

4                      | 1857                   |7428|16

4                      | 1972                   |7888|16

Σx = 66

Σy = 30999

Σxy = 120978

Σ(x^2) = 282

Plug these values into our formulas:

m = (15 * 120978 - 66 * 30999) / (15 * 282 - 66^2)

  ≈ 305.91

b = (30999 - 305.91 * 66) / 15

  ≈ 905.27

So our linear regression equation is:

House size = 305.91 * (Number of Residents) + 905.27

Now, let's predict the house size for a family of 5 residents:

House size = 305.91 * 5 + 905.27

           ≈ 2444.82 Sq. ft

This means that, according to our linear regression model, a family of 5 residents would need a house size of approximately 2445 square feet.

Step-by-step explanation:

This it two image answer,Chapter 3 i don't know

Answer:

x = -2

Step-by-step explanation:

3(3 - x) = 5(2x + 7) multiply 3 with both 3 and -x then 5 with 2x and 7

9 - 3x = 10x + 35 add like terms

9 - 35 = 10x + 3x

-26 = 13x

x = - 2

The number of weeks it took someone over age 55 to find a job in order to be in the 99th percentile of job seekers is not provided.

To determine the number of weeks it took someone over age 55 to be in the 99th percentile of job seekers, we need specific data on the distribution of job search durations among this group. The 99th percentile represents the value below which 99% of the data falls.

Without this data, it is not possible to calculate the exact number of weeks required to be in the 99th percentile. More information on the distribution, such as the mean and standard deviation, would be needed to make this determination.

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"Complete question"

In a recent study, data was collected on the time it took individuals of different age groups to find a job after becoming unemployed. The data showed that individuals over the age of 55 took a certain number of weeks to find a job. Surprisingly, this number placed them in the 99th percentile of all individuals finding a job. What is the number of weeks it took for someone over the age of 55 to find a job, placing them in the 99th percentile?

9514 1404 393

Answer:

  CX = 15√2 inches

  BC = 15√3 inches

  AC = 15√6 inches

Step-by-step explanation:

In this geometry, all of the triangles are similar:

  ΔABC ~ ΔACX ~ ΔCBX

Corresponding segments are proportional in similar triangles, so we have ...

  AX/CX = CX/BX = (long leg)/(short leg)

Filling in the numbers, we get

  30/CX = CX/15

  CX² = 15×30

  CX = 15√2 . . . . . exact length of the altitude (inches)

__

Similarly, we can form proportions with the legs:

  AB/BC = CB/BX

  BC² = (BX)(AB) = (45)(15)

  BC = 15√3 . . . inches

and

  AC/AB = AX/AC

  AC² = (AX)(AB) = (30)(45)

  AC = 15√6 . . . inches

_____

Additional comment

You may notice that each of the segments we're interested in is the root of a product involving segments of the hypotenuse. This "root of a product" is called the geometric mean. Here, the three geometric mean relations are ...

  altitude = geometric mean of hypotenuse segments

  short side = geometric mean of short segment and whole hypotenuse

  long side = geometric mean of long segment and whole hypotenuse

__

Strictly speaking the geometric mean is the n-th root of the product of n items. Here, there are only 2 items, so it is the square root of their product.

Answer:

  9/4

Step-by-step explanation:

You want to know the value required to complete the square in the equation 1 = x² -3x.

Your picture shows the required value: (-3/2)² = 9/4.

<95141404393>

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

Answer:

7

Step-by-step explanation:

13.23 = 10

2.570= 3

10-3=7

Answer:

13.2-2.6=10.6

Step-by-step explanation:

The interest rate on the vehicle after 6 years is (c) 2.45%

From the question, we have the following parameters that can be used in our computation:

The above parameters mean that

P = $16,750

I = $2,462.25

t = 6 years

The formula of simple interest is represented a

I = PRT

Substitute the known values in the above equation, so, we have the following representation

2,462.25 = 16,750 * R * 6

Evaluate the products

2,462.25 = 100500 * R

Divide both sides by 100500

R = 2.45%

Hence, the rate is (c) 2.45%

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Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Quadratic equations have the highest degree on x as 2 (a squared value). The given equation has x^3 (assuming x3 is x^3 and not 3x), meaning that the equation is a cubic equation.

The vertex is at (-2, -9).

From the equation:

y = x² + 4x - 5

Transpose the c-value to the left side of the equation:

y + 5 = x² + 4x

Complete the square of the expression on the right side of the equation to get a perfect square trinomial:

y + 5 = x² + 4x + 4 - 4

by adding and subtracting 4 to the right side of the equation to maintain its balance.

Add the numbers on the left and factor the trinomial on the right:

y + 9 = (x + 2)²

Transpose the number across to the right side to get the equation into the vertex form, y = a(z-h)² + k:

y = (x + 2)² - 9

Make sure the addition and subtraction signs are correct to give the proper vertex form.

Here, the vertex is at (-2, -9).

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Given:-

To find:-

Answer:-

1) Firstly we are told to transpose the c value to LHS .

With respect to standard form of a quadratic equation, \( ax^2+bx + c \) ,the value of c here will be -5 . So on transposing c to LHS , we have;

\(\implies y + 5 = x^2 + 4x\\\)

w) Next we are told to complete the square on the RHS of the equation. For that add and subtract 4 .

\(\implies y + 5 = x^2 + 4x + 4 - 4 \\\)

\(\implies y + 5 =\{ (x)^2 + 2.2.x + 2^2 \}- 4\\\)

The terms inside the curly brackets are in the form of \( a^2+2ab + b^2\) , which is the whole square of \( (a + b )\) . That is \( ( a + b)^2\) . So , we can rewrite it as ,

\(\implies y + 5 = (x +2)^2 - 4 \\\)

\(\implies y + 5 + 4 = (x+2)^2 \\\)

3) Next we have to add the number on the left and factor the trinomial on right as ,

\(\implies y + 9 = (x+2)^2 \\\)

4) Now we are told to transpose the number on the LHS to RHS and get the equation into vertex form which is \( y = a(z-h)^2+ k \) .

\(\implies\underline{\underline{ y = (x+2)^2 - 9}} \\\)

This is our required answer in vertex form. Also on comparing to the standard equation of vertex form, we have;

\(\implies vertex = ( -2,-9) \\\)

and we are done!

A parallelogram is a quadrilateral with two pairs of opposite sides that are parallel. This particular quadrilateral has four sides, two of which are parallel and equal in length, and both of which have equal-sized opposite angles.

A parallelogram is a quadrilateral with two pairs of opposite sides that are parallel. This particular quadrilateral has four sides, two of which are parallel and equal in length, and both of which have equal-sized opposite angles. A parallelogram has equal-length opposite sides and diagonals that cut each other in half. It possesses all the characteristics of a parallelogram, including diagonals that are split in half and angles that add up to 360 degrees. Additionally, it is the only quadrilateral in which the angles on either side are equal.

In two dimensions, a parallelogram is a shape with four sides and four angles. It is a particular kind of quadrilateral where the opposing sides are parallel and all sides are the same length. In terms of the intersection of the two sides, it is also symmetrical. A parallelogram has equal opposed angles and diagonals that cut each other in half.A parallelogram's internal angles add up to 360°. The parallelogram is a rectangle if two of its adjacent angles are supplementary. Whenever a parallelogram's angles are all at right angles, it is a square.

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Answer:

-6 is the y coordinate

Step-by-step explanation:

The time it takes for an orchestra to perform a symphony is not dependent on the number of players. Therefore, the number of players does not directly affect the duration of the performance. In this case, it took the 120-player orchestra 40 minutes to play Beethoven's 9th Symphony.

Assuming that the tempo and performance style remain constant, it is reasonable to assume that a 60-player orchestra would also take 40 minutes to perform the same symphony. The time it takes to play a symphony is primarily determined by the composer's tempo markings and the musicians' interpretation of those markings. Therefore, reducing the number of players does not necessarily mean a shorter performance time.

In summary, the number of players in an orchestra does not determine the time it takes to perform a symphony. The performance time is influenced by factors such as the composer's tempo markings and the musicians' interpretation. Hence, a 60-player orchestra would likely take the same amount of time, approximately 40 minutes, to play Beethoven's 9th Symphony.

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Answer:

A)y= -7x

Step-by-step explanation:

The parameterized equations for x and y are: x = 3 - 5t and y = -5t for the parameter.

From (3,0) to (-2,-5 ) can be parameterized. Vector form of the equation. The parameter equations for x and y involve linear interpolation between start and end points.

Let P be the start point (3,0) and Q be the end point (-2,-5). The vector form of the line segment equation can be written as:

r(t) = P + t(Q - P)

In this case P = (3,0) and Q = (-2,-5). Substituting these values ​​gives:

r(t) = (3,0) + t((-2,-5) - (3,0))

Further simplification:

r(t) = (3,0) + t(-5,-5)

= (3,0) + (-5t,-5t)

= (3 - 5t, -5t)

So the parameterized equations for x and y are

x = 3 - 5t

y = -5t

These equations run from (3,0) to (-2,-5) such that the line segment is at (3,0) at t=0 and (-2,-5) at t=1. Parameterize the line segment. By varying the value of t from 0 to 1, you can trace a line segment between two points. 

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Let:

x = number of dimes

y = number of quarters

She collected a total of 122 coins, so:

and a total of 21.50, so:

Let:

From (1):

Replace (3) into (2):

Replace the value of y into (3):

She collected 60 dimes and 62 quarters

Answer:

See work below.

Step-by-step explanation:

There are 20 total blocks. 6 of them are painted. We can divide 6 by 20 and multiply that number by 100 to find the percentage of painted blocks.

6/20 = 0.3

Now, we need to multiply by 100 to convert to a percentage.

0.3 x 100 = 30%

Answer:

30% work below

Step-by-step explanation:

There are 20 squares in total if 6 are painted you get the fraction.

\(\frac{6}{20} /\frac{2}{2} = \frac{3}{10}\)

3/10 as a decimal is .3

.3 as a percent is 30% because you move the decimal to the right 2 times.

Hope this helps ya!

In the case above, the correct vectors are:

The solution for the Ship's vector are:

Note that the Horizontal aspect = 30 cos 30  

                                                   = 25.98.

For the  Vertical aspect = 30 sin(-30)

                                        = -15.

Hence it will be  <25.98, -15>.

In regards to the current's vector:

The Horizontal aspect=  5 sin 20

                                       = 1.71.

The Vertical aspect = 5 cos 20

                                     = 4.7.

Hence it will be <1.71, 4.7>.

Therefore, In the case above, the correct vectors are:

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The equation for the rational function will be f(x) = (x² - 16)/(x - 2) and the denominator cannot be zero.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The rational function with an x-intercept at (–4, 0) and (4, 0), a vertical asymptote at x = 2, and an oblique asymptote at y = x + 2.

The rational function has x-2 in the denominator.

The denominator cannot be zero.

The rational function will be:

\(y=\dfrac{\left(x^{2}-16\right)}{x-2}\)

Thus, the equation for the rational function will be f(x) = (x² - 16)/(x - 2) and the denominator cannot be zero.

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Answer:

its a

Step-by-step explanation:

To determine how far due North the ship is from its starting position, we need to use trigonometry. Given that Ship B is 100m east of Ship A and the bearing from Ship A to Ship B is 30°, we can use the sine function to calculate the distance due North.answer is 50m.

Given that Ship B is 100m east of Ship A and the bearing from Ship A to Ship B is 30°, we can use trigonometry to determine the distance due North.
Using the sine function, we can calculate the opposite side length (the distance due North) by taking the sine of the given angle and multiplying it by the adjacent side length (the distance between the ships). In this case, the distance due North is represented by y, the angle is 30°, and the distance between the ships is 100m.
Using the equation y = sin(30°) * 100m, we can calculate the distance due North. Taking the sine of 30° (which is 0.5), we have y = 0.5 * 100m = 50m.
Therefore, the ship is located 50 meters due North from its starting position.

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Ship B is approximately 57.74 meters due north from Ship A. This was determined by using trigonometric functions to solve the question.

The subject of this problem relates to trigonometry. Here, we need to determine the distance from Ship A to the location of Ship B due north, given that the bearing of Ship B from Ship A is 30° and the horizontal distance (eastwards) is 100m.

Let’s define the distance of ship B due north from ship A as y. The bearing of Ship B from Ship A forms a right-angled triangle. In this triangle, the horizontal distance of Ship B from Ship A is the adjacent side, and the distance we need to find is the opposite side.

We use the tangent function, which is the ratio of the opposite side to the adjacent side in a right-angled triangle:

Tan(30) = y/100

Rearranging this equation gives:

y = 100 * Tan(30)

By calculating this equation, we find that the distance of Ship B due north from Ship A is approximately 57.74 meters.

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Answer:

X = 36/17

y = -8/17

Step-by-step explanation:

Since they both equal y, you could use them equal to each other.

(5/2)x-4=(-1/3)x+2

Then solve for x by combining like terms. X should be 36/17. Plug in x to find y in one of the equations. I will use the top one. (5/3)(36/17)-4=y. That should simplify down to (60/17)-4=y. Y would finally equal -(8/17).

Answer:

What the other guy said. I think he is correct.

Step-by-step explanation:

Answer:

i think its b

Answer:

B. (x³-10)(x⁶+10x³+100)

Step-by-step explanation:

x⁹-1000

(x³)³-10³

so now always remember

x³-y³=(x-y)(x²+xy+y²)

so for this question x= x³ and y=10

we now have

(x³-10)((x³)²+10x³+10²)

(x³-10)(x⁶+10x³+100)

We will determine the remaining almond flour as follows:

*First: We determine how much does 20% of it is:

So, 20% of almond flour is 18 pounds. Now, we subtract this amount from the total amount:

So, there are 72 pounds of almond flour left.