In the given figure AB is parallel to CD then value of x is?

If Renfro Rentals has issued bonds that have an 8% coupon rate, payable semiannually. The price of the bonds is: $1,039.11.

We would be making use of financial calculator to find or determine the price of the bonds (Present value) by inputting the below data:

N represent Number of years = 12 x 2 = 24

I represent Interest rate= 7.5 % / 2 =3.75 %  

PMT represent Periodic payment= (8% x 1000) / 2 = $40

FV represent Future  value= $1,000

PV represent Present value=?

Hence;

PV (Present value) = $1,039.11

Therefore if Renfro Rentals has issued bonds that have an 8% coupon rate ,payable semiannually. The price of the bonds is:  $1,039.11.

Learn more about  price of the bonds or present value here: https://brainly.com/question/13990294

#SPJ1

The marginal propensity to consume (MPC) for Australia in 2021, when total income (Y) is 10, is 0.3.

The consumption function for Australia in 2021 is given as C = 0.0052 + 0.3Y + 20, where C represents the total consumption and Y represents the total income. To calculate the MPC, we need to determine how much of an increase in income is consumed rather than saved. In this case, when Y = 10, we substitute the value into the consumption function:

C = 0.0052 + 0.3(10) + 20

C = 0.0052 + 3 + 20

C = 23.0052

Next, we calculate the consumption when income increases by a small amount, let's say ΔY. So, when Y increases to Y + ΔY, the consumption function becomes:

C' = 0.0052 + 0.3(Y + ΔY) + 20

C' = 0.0052 + 0.3Y + 0.3ΔY + 20

To find the MPC, we subtract the initial consumption (C) from the new consumption (C') and divide it by the change in income (ΔY):

MPC = (C' - C) / ΔY

MPC = (0.0052 + 0.3Y + 0.3ΔY + 20 - 23.0052) / ΔY

Simplifying the equation, we can cancel out the terms that don't involve ΔY:

MPC = (0.3ΔY) / ΔY

MPC = 0.3

Learn more about Marginal propensity

brainly.com/question/32676784

#SPJ11

Answer:

A

Step-by-step explanation:

( 3x² + 4x + 4)(2x - 4)

(6x³ - 12x² + 8x² - 16x + 8x -16)

(6x³ - 4x² - 8x - 16)

Hope this helps!

Answer:

  3)  25

  4)  32

Step-by-step explanation:

In each of the pairs of similar figures, you want to solve for the variable.

Sometimes, the problem statement gives you more information than you need. Here, the smaller triangle can be ignored. It has no marking corresponding to x, and the larger triangle has all the information needed.

The Pythagorean theorem can be used to find the length of the hypotenuse, given the lengths of the other two sides in the right triangle.

  c² = a² +b²

  x² = 15² +20² = 225 +400 = 625

  x = √625 = 25

The value of x is 25.

The similarity statement ABCD ~ EFGH means we can write the proportion ...

  HE/DA = EF/AB . . . . . . . . corresponding sides are proportional

  x/28 = 16/14 . . . . . . . . . use the given measures

  x = 28(16/14) = 32 . . . . multiply by 28

The value of x is 32.

__

Additional comment

If you recognize the ratios of the sides of the right triangles are 15:20 = 3:4, then you can make use of your knowledge of the 3-4-5 right triangle to write the proportion ...

  3 : 4 : 5 = 15 : 20 : 25 = 15 : 20 : x   ⇒   x=25

Answer:

Less Than,Less Than or Equal to,Greater Than,Greater Than or Equal to

Step-by-step explanation:

The line under plays the role of an equal sign and the others are pretty self explanatory

Answer: The first one is a greater sign, the second one is greater than or equal to, the third one is less than, and the last one is less than or equal to.

Step-by-step explanation: hope this helps

Answer:

number line b

Step-by-step explanation:

look at the question carefully

The probability that no student will withdraw from the course is approximately 0.008 or 0.8%, assuming a binomial distribution with n=90 and p=0.05.

Since each student's decision to withdraw or not is independent of others, we can model the number of students who withdraw as a binomial random variable with n=90 and p=0.05.

To find the probability that no student will withdraw from the course, we want to find P(X=0), where X is the number of students who withdraw. This is given by the binomial probability mass function:

P(X=0) = (n choose 0) * p^0 * (1-p)^(n-0) = (90 choose 0) * 0.05^0 * 0.95^90

Using a calculator or software, we find:

P(X=0) ≈ 0.008

Therefore, the probability that no student will withdraw from the course is approximately 0.008 or 0.8%.

To know more about Probability:

https://brainly.com/question/11234923

#SPJ4

a) The median number of goals scored is 3.

b) The mean number of goals scored is 2.33.

In the question, we are given a table showing the number of goals a football team conceded in a season.

a) We are asked to find the median number of goals scored.

The median for any frequency distribution is the middle value of the cumulative frequency distribution.

The cumulative frequency distribution for the given table can be shown as follows:

Conceded Goals _ Frequency _ Cumulative Frequency

_____0_______ ______2_____ ________2_________

_____1_______ ______8_____ _______10_________

_____2_______ ______4_____ _______14_________

_____3_______ _____10_____ _______24_________

_____4_______ ______6_____ _______30_________

The total number of observations is 30.

The middlemost frequency is the average of the 15th and 16th observations, that is, 3.

Thus, the median number of goals scored is 3.

b) We are asked to find the mean number of goals conceded per match.

The mean is given by the formula, μ = {∑xf}/{∑f}, where μ is the mean, x is the variable, and f is the frequency of the variable.

Thus, the mean number of goals conceded = { (0*2) + (1*8) + (2*4) + (3*10) + (4*6) }/{ 2 + 8 + 4 + 10 + 6} = { 0 + 8 + 8 + 30 + 24 }/{30} = 70/30 = 2.33.

Thus, the mean number of goals scored is 2.33.

Learn more about mean and median at

https://brainly.com/question/17210076

#SPJ9

The calculated measure of AD if ABCD is a parallelogram is 23 units

Given that

ABCD is a parallelogram

The opposite sides of a parallelogram are the equal

This means that

AD = BC

So, we have

3y - 1 = y + 15

Evaluate the like terms

So, we have

2y = 16

This gives

y = 8

So, we have

AD = 3(8) - 1

Evaluate

AD = 23

Hence, the length is 23 units

Read more about parallelogram at

https://brainly.com/question/970600

#SPJ1

Answer: 3.4

Step-by-step explanation:

V=4/3•pi•(r)^3

164.636=4/3•pi•(r)^3

164.636/(4/3•pi)= 39.3…

39.3=(r)^3

*cubed root of both sides* r=3.399… so r=3.4

Protractor postulate: given any angle, we can express its measure as a unique real number from 0 to 180 degrees.

The protractor postulate is a fundamental concept in geometry that establishes a way to measure angles using a protractor. According to this postulate, every angle can be uniquely represented by a real number between 0 and 180 degrees.

A protractor is a geometric tool with a semicircular shape and marked degrees along its edge. To measure an angle using a protractor, we align the center of the protractor with the vertex of the angle and the baseline of the protractor with one side of the angle. We then read the degree measure where the other side of the angle intersects the protractor.

The protractor is divided into 180 degrees, with 0 degrees being the starting point at the baseline of the protractor, and 180 degrees being at the opposite end of the baseline. By aligning the protractor with an angle, we can determine its measure as a real number within this range.

For example, if we measure an angle using a protractor and find that the other side intersects the protractor at 45 degrees, we can express the measure of the angle as 45 degrees. Similarly, if the intersection point is at 90 degrees, the angle measure would be 90 degrees. The protractor postulate guarantees that these angle measures are unique within the range of 0 to 180 degrees.

It is important to note that the protractor postulate assumes that angles can be measured using a protractor and that the measurement is accurate and reliable. The postulate provides a consistent and standardized way to assign a numerical value to an angle, allowing for precise communication and comparison of angles in geometric contexts.

In summary, the protractor postulate establishes that the measure of any angle can be expressed as a unique real number between 0 and 180 degrees. This concept is fundamental in geometry and allows for the measurement, comparison, and communication of angles using a protractor.

To learn more about angles click here:

brainly.com/question/22891563

#SPJ11

Answer:

y = 1/2x + 2

Comparison: The black and blue line haver the same y-intercept, however they have different slopes. The slope of the black line is 2/3 and the slope of the blue line is 1/2.

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Answer:

Step-by-step explanation:

285 dollars.  the left money = 660 - 375 =285

Answer:

It is a function

Domain: -8, -6, -4, -3

Range: -6, -4, -3, 4

Step-by-step explanation:

Yes it is a function since there are no multiple x values

Domain are the x-values:

-8, -6, -4, -3

Range are the y-values:

-6, -4, -3, 4

Answer:

A, B, & D are polygons of equal straight lined sides. F is an irregular polygon which has unequal straight lined sides. C & E are NOT polygons as they have curves which cancels their polygon status.

Answer:

25

Step-by-step explanation:

Answer: 25

Step-by-step explanation:

25.The correct answer is A. The subject has an extreme criterion.26. The correct answer is B. The criterion is negative.

Question 25:If you know the true underlying sensitivity (d') is 2, but you measure d' as 0, the most reasonable conclusion would be that the subject has an extreme criterion. The criterion refers to the decision threshold used to differentiate between signal and noise. In this case, the subject's criterion is likely set in such a way that they are more conservative or cautious, leading to a reduced sensitivity measure.Therefore, the correct answer is A. The subject has an extreme criterion.

Question 26:When there are more False Alarms than Hits in signal detection, it suggests that the criterion is negative. The criterion represents the decision threshold, and a negative criterion implies a more liberal or lenient approach to categorizing events as a signal. This leads to a higher likelihood of detecting false alarms (incorrectly identifying noise as a signal) while potentially missing some true signals.Hence, the correct answer is B. The criterion is negative.

To learn more about criterion, click here:

brainly.com/question/25682985

#SPJ11

Answer:

0.875

By dividing them

Hope it helps

Answer:

0.875

Step-by-step explanation:

\(\frac{7}{8} \times \frac{125}{125} =\frac{875}{1000} =0.875\)

Given equation 3 = 3 is an identity, so it has infinite solutions.

Consider the given mathematical equation 3 = 3

We need to check whether the given mathematical equation has solution or not.

We know that a statement 3 = 3 's true no matter what.

We can observe that for given statement 3 = 3, there's no variable in sight.

This means, 3 = 3 must has infinite solutions.

We know that an equation which is always true, no matter what values we substituted is called as an identity.

This equation is an identity, all real numbers are solutions.

Therefore, the equation 3 = 3 have infinitely many solutions.

Learn more about an equation here:

https://brainly.com/question/649785

#SPJ4

Answer:

B. k=7

Step-by-step explanation:

28/4=7

56/8=7

84/12=7

etc... good luck!

9514 1404 393

Answer:

  4

Step-by-step explanation:

The fractions involved are 3/4, 1/2, 1/4. These have a least common denominator of 4. All of the fractions can be eliminated by multiplying the equation by 4.

  -3/4m -1/2 = 2 +1/4m . . . . . . given

  -3m -2 = 8 + m . . . . . . . . . . . multiply by 4 (eliminates fractions)

  -10 = 4m . . . . . . . . . . . . . . . . add 3m-8

  -5/2 = m . . . . . . . . . . . . . . . . divide by 4

__

Check

  -3/4(-5/2) -1/2 = 2 + 1/4(-5/2)

  15/8 -4/8 = 16/8 -5/8

  11/8 = 11/8 . . . . . answer checks OK

Answer:

both

Step-by-step explanation:

hi! let's plug in the ordered pairs into the equation. the x-coordinate is substituted for x in the equation, while the y-coordinate is substituted for y.

y≥-2x+4

(0,4)

4≥-2(0)+4

4≥0+4

4≥4

this is correct since 4 is equal to 4.

(-1,8)

8≥-2(-1)+4

8≥2+4

8≥6

this is also correct since 6 is less than 8.

therefore, both ordered pairs are solutions of the inequality.

The equation of the tangent line to the graph of the function f at the point (1, -1) is y = (2/9)x - 11/9.

To find the equation of the tangent line to the graph of the function f at the point (1, -1), we need to find the slope of the tangent line first.

We can start by taking the derivative of both sides of the equation:

3(x - y - 1)^2 (1 - dy/dx) = 1

Simplifying and solving for dy/dx, we get:

dy/dx = (3(x - y - 1)^2 - 1) / 3(x - y - 1)^2

Now, we can plug in the x and y values of the point (1, -1) to find the slope of the tangent line at that point:

dy/dx = (3(1 - (-1) - 1)^2 - 1) / 3(1 - (-1) - 1)^2 = 2/9

So the slope of the tangent line is 2/9.

Next, we can use the point-slope form of a line to find the equation of the tangent line. We know that the line passes through the point (1, -1) and has a slope of 2/9, so we have:

y - (-1) = (2/9)(x - 1)

Simplifying, we get:

y = (2/9)x - 11/9

So the equation of the tangent line to the graph of the function f at the point (1, -1) is y = (2/9)x - 11/9.

Learn more about tangents: https://brainly.com/question/10053881

#SPJ11

The EPV of a life annuity due for someone aged x+1 ≈ 0.1797.

To calculate the EPV (Expected Present Value) of a life annuity due for someone aged x+1, we can use the formula:

ax+1 = ax * (1 - px) * (1 + i)

Where:

ax is the EPV of a life annuity due for someone aged x

px is the survival probability for someone aged x

i is the effective interest rate per year

We have:

ax = 12.32

px = 0.986

i = 4% = 0.04

Substituting the provided values into the formula, we have:

ax+1 = 12.32 * (1 - 0.986) * (1 + 0.04)

ax+1 = 12.32 * (0.014) * (1.04)

ax+1 = 0.172 * 1.04

ax+1 ≈ 0.1797

To know more about Expected Present Value refer here:

https://brainly.com/question/30870156#

#SPJ11

Step-by-step explanation:

(g. h)(-4) = g(4).h(4)

= [2(4)-1].[3(4)-1]

=7×11

=77

1. The one who will keep his phone for a long time will choose the operator A, the one who will keep his phone for a short time will choose the operator C, and the operator B is an intermediate choice.

Fixed costs are outlays that don't change no matter how much is produced or sold. Rent, salary, and insurance are a few examples of fixed costs. Contrarily, variable costs are expenses that vary according to the volume of production or sales. The costs of labour, commissions, and raw materials are a few examples of variable costs. Because they must be paid regardless of the volume of production or sales, fixed expenses are frequently referred to as "sunk costs," in contrast to variable costs, which are closely related to income and are simpler to control.

1. The one who will keep his phone for a long time will choose the operator A, the one who will keep his phone for a short time will choose the operator C, and the operator B is an intermediate choice.

2. Let us suppose number of months = X.

Thus,

For Operators A and B:

120 + 20X = 40 + 25X

5X = 16

X = 3.2

For Operators B and C:

40 + 25X = 10 + 30X

X = 6

Hence, Operator C is the best option for someone who intends to keep the phone for less than 3.2 months. Operator B is the ideal option for someone who intends to keep the phone for 3.2 to 6 months. Operator A is the greatest option for someone who intends to keep the phone for more than six months.

Learn more about variable cost here:

https://brainly.com/question/27853679

#SPJ1

Answer:

3x + 19

Step-by-step explanation: