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The number 2755 flights were scheduled.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Recently many airlines have had to cancel flights in a single day.

Republic airlines had to cancel 416 flights representing 15.1% of the airlines' scheduled flights.

The number of flights scheduled,

= 416 x 100/ 15.1

= 41600/15.1

= 2754.96

≈ 2755

Therefore, 2755 flights were scheduled.

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Answer: 1.82 m

Step-by-step explanation:

Ratios

0.14     n              0.14 x 13 = 1.82

 1.         13                    1.82/1 = 1.82

Answer: 6 thousandths but if you’re talking about the second six then it would be 6 ten thousandths

Step-by-step explanation:

Answer:

if you mean the place value of the last 6 it would be 6 thousandths if you mean the 2nd to last  it would be 6 hundredths.

Step-by-step explanation:

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

The dimension of the rectangle is;

Explanation:

1.

Given that the perimeter of the rectangle is 36 inches;

let l and w represent the length and width of the rectangle respectively;

And its length is two times its width;

substitute equation 2 into 1;

substituting the value of width w into equation 2;

Therefore, the dimension of the rectangle is;

On a number line, 7.05 would be located

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

Number = 7.05

The analysis of its position s as follows:

So, the true statements are B and C.

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Answer:

B

Step-by-step explanation:

It seems like the answer would be B since 0.4 x 0.9 = 0.36 and the intersection for answer choice B is 36 grid blocks.

The correct equation of the given grids models the problem is,

⇒ Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks.

Option B is true.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Bailey wants to find the value of 0.4 × 0.9.

Now,

After multiplication, we get;

⇒ 0.4 × 0.9

⇒ 0.36

Hence, By all the options;

The correct equation of the given grids models the problem is,

⇒ Hundred grid. Four columns shaded vertically and nine rows shaded horizontally. The intersection is 36 grid blocks.

Option B is true.

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Answer:

3000 because you round up because above 2,500

Step-by-step explanation:

Answer:

3,000

Step-by-step explanation:

You already have 2,000, so you look at the number in the next to it which would be 6. If the number is over 5 than you round up and if it is under 5, you would just keep the original number the same without including the other numbers.

2,617  6 is over 5 so you round up. They asked to round to the nearest thousand. 2 is in the thousand place, so rounding up the number makes it a 3

Answer:

B is the correct answer

Given:

Radius of regular pentagon is 8.

The objective is to find the area of the regular pentagon.

Since, only radius is given, the formula to find the area of pentagon is,

The interest Raymond will pay this month is $54.98

What does APR mean?

APR means annual percentage rate, which means that since we are computing monthly interest, the annual rate which is the whole 12 months needs to be divided by 12 to ascertain the equivalent monthly interest rate

monthly interest=21.99%/12

What is the monthly interest amount in dollars?

The monthly interest amount in dollars is determined as the monthly interest rate multiplied by the credit card balance at the end of the month

monthly interest=$3,000*21.99%/12

monthly interest=$54.98

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A) All x- and y-intercepts include the following:

x-intercepts: none.

y-intercept: 1.

B) The equation for vertical asymptote is x = 4 and the equation for horizontal asymptote is y = 0.

C) The domain and range of f are:

Domain = [-∞, 4) U [4, ∞]

Range = [0, ∞]

In Mathematics, the x-intercept is the point at which the graph of a function crosses or touches the x-coordinate and the y-value or value of "y" is equal to zero (0).

Part A.

Based on the graph of this rational function, the x-intercept and y-intercept include the following:

x-intercept: none.

y-intercept: 1.

Part B.

An equation that represents the vertical asymptote is x = 4 while the equation represents the horizontal asymptote is y = 0 because the line does not cross those points.

Part C.

By critically observing the graph of this rational function, we can logically deduce the following domain and range:

Domain = [-∞, 4) U [4, ∞] or {x|x ≠ 4}.

Range = [0, ∞] or {y|y ≥ 0}.

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He would have saved $87,221.02  after 1 year

He would have saved $268,335.90   after 3  years

What is an ordinary annuity?

An ordinary annuity means a fixed amount invested at specific intervals, in this case, $7,185.51 is invested monthly, which means that its future value can be computed using the future value formula of an ordinary annuity as shown below:

FV=PMT*(1+r)^N-1/r

FV=future value of an ordinary annuity

PMT=monthly payment invested every month

r=monthly interest rate=annual interest/12

N=number of months that monthly payments were

FV after 1 year:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in 1 year=12

FV=$7,185.51*(1+0.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*(1.00208333333333333)^12-1/0.00208333333333333

FV=$7,185.51*0.02528845698324970/0.00208333333333333

FV=$87,221.02

FV after 3  years:

PMT=$7,185.51

r=monthly interest rate=2.5%/12=0.00208333333333333

N=number of months in  3 years=36

FV=$7,185.51*(1+0.00208333333333333)^36-1/0.00208333333333333

FV=$268,335.90

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At x=2, the function in the graph is approaches to infinity. This is satisfied by equation 1 that models the rational function, hence option 1 is the correct answer.

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). For illustration, 2x - 5 = 13.

Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero.

From given graph we can see that

At x=2, the function in the graph is approaches to infinity.

It means function is not defined at x=2

We know that a rational function is undefined when denominator is equal to zero.

For equation 1:

f(x)= 2(x+2)/(x-2)

Equating the denominator:

x-2=0

x=2

It means function is not defined at x=2

The y-intercept is: y= -2

The function is passing through the point (1,-6).

When we substitute x=1

Hence, option 1 is true.

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Combining similar terms:

Applying the product rule of exponents:

Answer:

49

Step-by-step explanation:

f o g(1) means f(g(1)). So find g(1) first then put that answer in f.

g(x) = -3x

g(1) = -3(1)

g(1) = -3

So we're going to put -3 into f.

f(x) = 5x^2 - x + 1

f(-3) = 5(-3)^2 - (-3) + 1

= 5*9 + 3 + 1

= 45 + 3 + 1

= 49

Answer:

Positive

Step-by-step explanation:

Anything below 0 is negative. 0.75 > 0

Answer:

1000 times larger

Step-by-step explanation:

350,000 ÷ 350

1000

Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

Answer:

30 trees per day

Step-by-step explanation:

150 trees / 5 days = 30 trees per day

So the answer is 30.

The results are:

i. Range: Le 635,000

ii. Mean: Le 445,666.67

iii. Median: Le 420,000

iv. Mode: None

We have,

To compute the range, mean, median, and mode of the given data set, let's first arrange the rent amounts in ascending order:

Le 00,000, Le 335,000, Le 373,000, Le 385,000, Le 410,000, Le 410,000, Le 430,000, Le 462,000, Le 515,000, Le 535,000, Le 578,000, Le 635,000

i. Range:

The range is calculated by subtracting the minimum value from the maximum value in the data set:

Range = Maximum value - Minimum value

Range = Le 635,000 - Le 00,000

Range = Le 635,000

ii. Mean:

The mean is the average of the rent amounts. We sum up all the values and divide by the number of values in the data set:

Mean = (Sum of all rent amounts) / (Number of rent amounts)

Mean = (Le 00,000 + Le 335,000 + Le 373,000 + Le 385,000 + Le 410,000 + Le 410,000 + Le 430,000 + Le 462,000 + Le 515,000 + Le 535,000 + Le 578,000 + Le 635,000) / 12

Mean = Le 5,348,000 / 12

Mean = Le 445,666.67

iii. Median:

The median is the middle value in the sorted data set. In this case, since we have 12 rent amounts, the median will be the average of the 6th and 7th values:

Median = (Le 410,000 + Le 430,000) / 2

Median = Le 420,000

iv. Mode:

The mode is the value that appears most frequently in the data set. In this case, there is no rent amount that appears more than once, so there is no mode.

Therefore,

The results are:

i. Range: Le 635,000

ii. Mean: Le 445,666.67

iii. Median: Le 420,000

iv. Mode: None

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Answer:

Step-by-step explanation:

\(1c-0.25c=0.75c\)

The horizontal distance from the base of the skyscraper out to the ship would be 1053 feet.

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right angled(not of 90 degrees).

The slanted side is called the hypotenuse.

Let d the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 45°, hence:

\(\text{Angle} = 90 - 45 = 45^o\)

Using trigonometric ratio:

\(tan(45) = \dfrac{d}{1053}\)

\(d = 1053\ \text{feet}\)

The horizontal distance from the base of the skyscraper out to the ship would be 1053 feet.

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Answer:

Is it 0? sorry if this is wrong

Step-by-step explanation:

Answer:

f(g(0)) = -2

Step-by-step explanation:

We have our two equations, f(x) and g(x).

We work our way from the inside to the outside. Our inside equation is g(0). If we match g(x) to that, that would mean x = 0. So on that g(x) graph, when the x=0, the graph intercepts the y axis at y = 1.

Now that we know that g(0) = 1, we can plug that into the original equation, making it f(1) instead of f(g(0)). Now that we have f(1), we can go to our f(x) equation.

Matching the equations, it shows the x=1. On our f(x) graph, we'll find x=1 and trace down or up (down in this case) to the point where the graph intercepts at that point. Thats where we can then trace that point to the y axis and we see that our line hits the y axis at -2, making that the answer.

Answer:

We have 60% salt and 85% salt solutions and we need 140 ounces of a solution that is 80% salt.

We set up 2 equations:

A) x + y = 140

B) .60x + .85y = .80 * 140

Multiply equation A) by -.60

A) -.60x -.60y = -84  then we add this to B)

B) .60x + .85y = 112

.25y = 28

y = 112 ounces of 85% salt

x = 28 ounces of 60% salt.

Double Check

112 * .85 = 95.2 AND 28 * .60 = 16.80

95.2 + 16.80 = 112

and 112/140 = 80 per cent!!

Source: http://www.1728.org/mixture.htm

Step-by-step explanation:

Three statements are given. It is required to determine if the statements are simple or compound, and if it's compound, it is required to choose which type.

Recall that a simple statement is a statement containing no connectives like 'or', 'and', and so on.

Recall also that a compound statement is a combination of two or more simple statements which are joined by connectives.

Compound statements joined by 'or' are called disjunctions, while those joined by 'and' are called conjunctions.

Compound statements with 'if-then' are called conditional, while the ones with 'if and only if' are called biconditional.

a) The first statement is: My cousins each have some sort of engineering degree.

Since the statement is not joined by any connectives, it is a simple statement.

b) The second statement is: My eyes are bad or this print is tiny.

Since it is a combination of two simple statements joined by the connective 'or', then, it is a compound statement, which is a disjunction.

c) The third statement is: The cat will come to you if and only if you set well.

Since it is a combination of two simple statements joined by the connective 'if and only if ', it follows that it is a compound statement and it is a biconditional.

Charles should hire 20 workers for each hour.

To determine the optimal number of workers to hire, Charles needs to compare the marginal cost and marginal benefit of each additional worker.

The marginal benefit of each worker is the additional number of drinks they can produce multiplied by the average selling price per drink. The marginal cost is the hourly wage of each worker multiplied by the number of hours they work.

Initially, the marginal benefit of the first worker is 20 drinks * $3/drink = $60.

The marginal cost is $15/worker * 8 hours = $120.

The second worker has a marginal benefit of 18 drinks * $3/drink = $54.

The marginal cost is still $120.

For each additional worker hired, the marginal benefit decreases by 2 drinks * $3/drink = $6, while the marginal cost remains constant at $120.

Charles should hire workers as long as the marginal benefit is greater than the marginal cost.

Once the marginal benefit is equal to or less than the marginal cost, it is no longer profitable to hire more workers.

Therefore, Charles should hire workers until the marginal benefit is equal to the marginal cost, which occurs when the marginal benefit is $120.

To find out how many workers will provide a marginal benefit of $120, we set the marginal benefit equal to $120 and solve for the number of workers:

$6 * n = $120

$n = 20

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The value of a4 would be equal to -666.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that \(a_0=10\) and \(a_n+1=-5a_n\)

This is a recursive formula. So we can simply substitute in each value. For instance, a₂

Use the recursive definition repeatedly.

a2 = -5(6) +4 = -26

 a3 = -5(-26) +4 = 134

 a4 = -5(134) +4 = -666

Therefore, the value of a4 is -666

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