The first term of an arithmetic sequence is -30 and the common difference is 8. Find the 20th term.

Answer:

The missing monomial should be \(3b\).

Step-by-step explanation:

Given that,

\(( + 2a)^2 = + 12ab + 4\)

Let the missing monomial is x.

\(( x+ 2a)^2 = x^2+ 12ab + 4a^2\\\\( x+ 2a)^2=(3b)^2+ 2(2a)(3b) + (2a)^2\\\\So,\\\\( 3b+ 2a)^2=(3b)^2+ 2(2a)(3b) + (2a)^2\)

So, the missing monomial should be \(3b\).

The probability of default, given a 2% risk premium and a 5% riskless return, is approximately 2.8%.



To calculate the probability of default, we need to compare the risk premium demanded by bondholders with the return on the riskless bond. The risk premium represents the additional return investors require for taking on the risk associated with a bond.In this case, the risk premium demanded by bondholders is 2% and the return on the riskless bond is 5%. To calculate the probability of default, we use the formula:

Probability of Default = Risk Premium / (Risk Premium + Riskless Return)

Substituting the given values into the formula, we have:

Probability of Default = 2% / (2% + 5%) = 2% / 7% ≈ 0.2857

Rounding this value to the nearest decimal point, we get approximately 0.3 or 2.8%. Therefore, the correct answer is option (e) 2.8%.This means that there is a 2.8% chance of default based on the risk premium demanded by bondholders and the return on the riskless bond. It indicates the perceived level of risk associated with the bond from the perspective of the bondholders.



Therefore, The probability of default, given a 2% risk premium and a 5% riskless return, is approximately 2.8%.

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The statement given is false. The reason for this is that the convergence of a function does not necessarily imply anything about the value of its derivative. To disprove the statement, we can consider the function f(x) = x^2, which converges for all x, but its third derivative f'''(x) = 0, which means that f'''(0) is also equal to 0. Hence, f′′′(0) is not equal to 2.

In general, it is important to note that the convergence of a function does not provide any information about the behavior of its derivatives. Moreover, a function may converge at some points and diverge at others, and this can be determined by analyzing the behavior of its terms or by using convergence tests. In this case, it is necessary to compute f′′′(0) directly using the definition of the derivative or by applying differentiation rules.

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Answer:

112

divide $188 by 47

it would equal 4

then multiple 4 and 28

Step-by-step explanation:

please pass this on... ( #helpsavelives )

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Thus, the solution of the division of two fractions 1/2 and 3/4 is obtained as: 2/3.

When we say that we are dividing fractions, we refer to the fact that at least one fraction is involved.

The given fractions are-

1/ 2 and 3/4

Divide 1/2 by 3/4

= (1/2) / (3/4)

= 1*4 / 2*3

= 4 / 6

As both numerator and denominator are factors of 2, then divide each by 2, we get

= 2/3

Thus, the solution of the division of two fractions 1/2 and 3/4 is obtained as: 2/3.

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Complete question:

how do you divide with fractions 1/ 2 and 3/4

Answer:

375 grams of soup sir I hope this helps

The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.

This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.

Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.

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Answer:

1)  J, k and w

2)Y

3) ONE

Step-by-step explanation:

The three collinear points on line m are

✔ J, K, and W

.

Point  

✔ Y

is not on line m.

✔ One

line(s) could be drawn through points P and X.

Answer:bcd

Step-by-step explanation:

Answer:

put a solid dot at positive 3 and point the line going towards numbers above 3

Step-by-step explanation:

Answer:

The possible dimensions are;

If Rectangle B has a dimension of 1 unit x 2 units, then Rectangle A has a dimension of 0.315 units x 12.685 units

Step-by-step explanation:

Let;

Length of Rectangle A be a

Width of Rectangle A be b

Length of Rectangle B be c

Width of Rectangle B be d

Thus;

Area of Rectangle A = a × b

Area of Rectangle B = c × d

We are told that the area of Rectangle A is twice the area of Rectangle B:

Thus;

2cd = ab - - - - - eq. 1

perimeter of Rectangle A = 2a + 2b

perimeter of Rectangle B = 2c + 2d

We are told that the perimeter of Rectangle A is 20 units greater than the perimeter of Rectangle B. Thus, we now have;

20 + 2c + 2d = 2a + 2b - - - - eq. 2

We have 4 unknowns which are (a, b, c and d) but only 2 equations, so we need to reduce to 2 unknown variables and calculate the other ones. In this way, one of the infinite solutions is obtained.

Let's assume that c = 1 and d = 2, we obtain:

From eq 1, we have;

2 * 1 * 2 = a*b

ab = 4 or a = 4/b

From eq 2, we have;

20 + 2(1) + 2(2) = 2a + 2b

26 = 2a + 2b

Putting a = 4/b into this, we have;

26 = 2(4/b) + 2b

Multiply through by b to get;

26b = 8 + 2b²

So,we have;

2b² -26b + 8 = 0

Using quadratic formula for this,

b = 0.315 or 12.685

When, b = 12.685, a = 4/12.685 = 0.315

When, b = 0.315, a = 4/0.315 = 12.685

So, the possible dimensions are;

If Rectangle B has a dimension of 1 unit x 2 units, then Rectangle A has a dimension of 0.315 units x 12.685 units

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer:

After 7 months, the girls will have the same amount in their accounts. They will have 175.

Step-by-step explanation:

Maria:

Starts with $105

Adds $10 each month

Jana Rae:

Starts with $0

Adds $25 each month

Set up an equation for both Maria and Jana.

m will represent the number of months.

Maria: 105 + 10m

Jana: 0 + 25m

You can do guess and check.

Let’s say m is equal to 6.

Subsitute m with 6 for both equations and check if they both end up having the same answer.

Maria: 105 + 10(6) = 165

Jana: 0 + 25(6) = 150

Is 165 and 150 equivalent? No

Let’s try m = 7 and do that same thing.

Maria: 105 + 10(7) = 175

Jana: 0 + 25(7) = 175

Now is the answer equal? Yes

So therefore, after 7 months, the girls will have the same amount in their accounts. They will have 175.

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Answer:

1. -8+3x

2. 51x-2+4x2 (squared)

3. 66x +324

4. 6x+2

5.  13 +13x

Step-by-step explanation:

I don't think I really understand the question but I tried to simplify the equations

It is to be noted that the square root of 7-2√10 is √5-√2. See the explanation below.

It is to be noted that square root, in mathematics, refers to a factor of a number which when multiplied by itself, results in the original number. For example, both 3 and –3 are square roots of 9.

Hence the solution to the above expression or problem is given as stated below:

7-2√10 = 5 + 2 - 2 2√10

= (√5)² + (√2)² - 2(√5)(√2)

Hence

7-2√10  = (√5 - √2)²

√(7-2√10) = √5 - √2

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Given that 570 is 150% of the base.

To solve the base,

let us divide both sides by 150%.

570 / 150% = base

Let's first convert the percentage into a decimal.

150% = 150/100 = 3/2

Now substitute the value of 150% in the above expression.

570 / (3/2) = base

Multiplying both the numerator and denominator by 2 we get,

570*2/3 = base

Now,570*2 = 1140

Dividing 1140 by 3,

we get the base = 380

Therefore, the base is 380.

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The steps to evaluate an exponential expression include:

First, you need to identify the base which is the number being raised to a power, and the exponent is the power to which the base is being raised. Then replace this base with the value that is needed to be used.

Use this exponent such that you can find out the number of times the base will multiply itself and then do the multiplication and simplify the expression.

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Answer:

\(n\)

Step-by-step explanation:

The expression \(n+1\) represents infinite numbers, because \(n\) can be all positive numbers, all negative numbers, or can be an element of the whole number field.

So, generally speaking, the numbers less than \(n+1\) are \(n\), because \(n<n+1\).

Therefore, an expression less than the given one is \(n\)

Answer:

n+1

Step-by-step explanation:

a. The inequality that represents the additional number of passengers, p, that can board the plane will be D. 15+p≤44 15 plus p is less than or equal to 44

b. The option that represents the people who can board the plane is A. 30 more passengers cannot board the plane. Only 29 more passengers can board the plane.

From the information, the small airplane can hold 44 passengers. Fifteen passengers board the plane.

Let P = those that can board the plane.

P + 15 ≤ 44

Collect like terms

P ≤ 44 - 15

P ≤ 29

The highest number of passengers that can enter the plane is 29.

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Answer:

120,000

Step-by-step explanation:

Let's say Rio gets 5x, Kim gets 7x, and Leo gets 3x. In the ratio 5:7:3:1, x = 1

5x + 7x + 3x = total = 15x

3x = 24000

divide both sides by 3 to get x

x = 8000

15x = 8000*15 = 120000

Answer:

Step-by-step explanation:

\(Equation 1\\y-2x=-2\\Equation 2\\8x=-3y-48\)

To begin, solve equation 1 for y:

\(y=2x-2\)

Then substitute 2x-2 for y in equation 2:

\(8x=-3(2x-2)-48\)

Now solve for x:

\(8x=-3(2x-2)-48\\8x=-6x+6-48\\8x=-6x-42\\(8x)+6x=(-6x-42)+6x\\14x=-42\\\frac{14x}{14}=\frac{-42}{14}\\x=-3\)

Substitute this x-value into equation 1:

\(y=2x-2\\y=2(-3)-2\\y=-6-2\\y=-8\)

So, the ordered pair that best represents the solution to this system of equations is (-3,-8).  This can be proven by substituting these values for x and y into the original equations:

\(y-2x=-2\\(-8)-2(-3)=-2\\-8-(-6)=-2\\-8+6=-2\\-2=-2\)

and

\(8x=-3y-48\\8(-3)=-3(-8)-48\\-24=24-48\\-24=-24\)

The latest that activity B can start is at the end of the 35th day.To determine the latest that activity B can start, we must first understand the sequence and dependencies of the activities. Since the durations of activities A, B, C, and D are given as 35, 5, 6, and 7 days respectively.

let's assume that activity B must follow activity A and activity C and D follow activity B.

In this scenario, activity B can start once activity A is completed, which is after 35 days. Following activity B, which takes 5 days, activity C will take 6 days and activity D will take 7 days. Thus, the total duration of all activities is 35 + 5 + 6 + 7 = 53 days.

To find the latest possible start time for activity B, we need to consider the total time available and the durations of the subsequent activities. Since activity B takes 5 days and the following activities C and D together take 13 days (6 + 7), we can subtract their combined durations from the total time to find the latest possible start time for activity B.

The calculation would be: 53 (total time) - 5 (activity B) - 13 (activity C and D) = 35 days.

Therefore, the latest that activity b can start if a lasts 35 days, b lasts 5, days c lasts 6 days, and d lasts 7 days,  the latest that activity B can start is at the end of the 35th day.

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Answer:

o noooo why

Step-by-step explanation:

The approximate measure of angle YZX is 39.4°. Option(B) is the correct answer.

we know that

In the right triangle XYZ

\(tan(Y Z X)= \frac{opposite side angle YZX}{adjacent side angle YZX}\)

In this problem,

Opposite side angle YZX= XY = 12.4cm

Adjacent side angle YZX= YZ = 15.1cm

substitute the values,

\(tan ( Y Z X) = \frac{12.4}{15.1}\)

\(Angle ( Y Z X) = arc tan( \frac{12.4}{15.1} )\)

Angle ( Y Z X) = 39.4°

So,  the approximate measure of angle YZX is 39.4°.

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The complete question is:

In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segment YZ is 15.1 cm. Which is the approximate measure of angle YZX?

A .34.8°

B .39.4°

C .50.6°

D. 55.2°

Answer:

His friend lives 7.29 miles away

Step-by-step explanation:

All you have to do is times 0.27 by 27 and you get 7.29

Answer: C. 7.29 miles

Step-by-step explanation: 0.27 x 27 = 7.29

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Answer:

19.998? or is there something else to it

In the triangle;

1. /BC/ = 26.4 m

2. <A = 41 degrees

3. The parameters in the question are incomplete

4. The parameters in the question are incomplete.

The triangle is a three-sided geometric shape that has three angles, three vertices, and three sides. It is one of the basic shapes in geometry and is commonly studied in mathematics, physics, and engineering.

\(/BC/ = x\\Thus;\\Tan 44 = x/27.3\\x = 27.3 * Tan 44\\= 26.4 cm\)

2)

\(Tan A = 15/17\\A = Tan-1(15/17)\)

A = 41 degrees

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The ages of the crew, Marty and Blakeley are 32 years, 48 years and 24 years respectively.

Total = crew's age + Marty's age + blakely's age

104 = x + 1.5x + 0.75x

104 = 3.25x

x = 104 ÷ 3.25

x = 32 years

Therefore,

Crew's age = x

= 32 years

Marty's age = 1.5x

= 1.5(32)

= 48 years

Blakely's age = 0.75x

= 0.75(32)

= 24 years

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