Which of the following is equivalent to 4 + 6x ≤ 22 ?

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

Learn more about real return and stocks here: https://brainly.com/question/32228847

#SPJ1

Answer:

y= -28

Step-by-step explanation:

x -y = 11

if x= -17 then substitute x for -17

-17 -y = 11; add 17 to both sides

-17 + 17 -y = 11+ 17; combine like terms

-y = 28; multiply both sides by -1

y= -28

To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:

1. Reflect A over the y-axis to get A': (-2, 2)

2. Reflect A' over the x-axis to get A'': (-2, -2)

Therefore, the new point A'' is (-2, -2).

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

hope this helps

Step-by-step explanation:

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph

Answer: (5,-6)

Step-by-step explanation:

According to the given question we can conclude that statement I and statement II are correct but not statement III.

Interest is the cost incurred when lending and borrowing a specific amount of money from a financial standpoint. It is crucial to note that interest is calculated as a percentage.

given,

Statement I is correct because the inflation rate averaged 1.3%, and Maria's savings account earned interest at a rate of 0.725%, which is lower than the inflation rate. This means that the buying power of her gift decreased by approximately 1.3% - 0.725% = 0.575% or 0.6% (rounded).

Statement II is also correct because Maria's savings account earned interest on the deposit of $2,000 for one year at a rate of 0.725%. The interest earned can be calculated as:

Interest = Principal x Rate x Time

Interest = $2,000 x 0.00725 x 1 year

Interest = $14.50

However, statement III is not correct. Since Maria deposited the entire gift of $2,000 into the savings account and did not make any withdrawals during the year, the balance in the account at the end of 2016 would be the sum of the initial deposit and the interest earned, which is $2,000 + $14.50 = $2,014.50. Therefore, the correct option is:

Statement III is incorrect, however Statements I as well as II are true.

To know more about interest visit:

https://brainly.com/question/28960137

#SPJ1

Answer:

8x + 245

Step-by-step explanation:

8(x + 30) + 5

8x + 240 +5

8x + 245

good luck, i hope this helps :)

Answer:

1 x the number of class rooms

Step-by-step explanation:

you need to know how many classes times the amount of pizzas

To determine the interest rate required for Deepa to end up with $8,100 after continuously compounding an initial investment of $6,700 for 7 years, we insert the known values into the continuous compounding formulaand solve for the unknown rate. The required rate, to the nearest tenth of a percent, is approximately 2.7%.

The question is about using the formula for continuous compound interest, which is A=P*ert, where A is the amount of money accumulated after n years, including interest; P is the principal amount (the initial amount of money); e is the mathematical constant approximately equal to 2.71828; r is the annual interest rate (decimal); and t is the time the money is invested or borrowed for, in years.

We know that Deepa wants to invest $6,700 and leave it in an account for 7 years. This will be our P and t respectively. Deepa wants to end up with $8,100, which is our A. We need to find r, the interest rate. Plugging in the numbers, we get 8100=6700*e7r. To solve for r, we first divide both sides by 6700, getting e7r=1.208955. If we take the natural logarithm of both sides, we get 7r = ln(1.208955) or r = ln(1.208955)/7.

To get r approximately equal to the nearest tenth of a percent, calculate the right-side expression to obtain r ≈ 0.027 or 2.7%.

https://brainly.com/question/36501885

#SPJ2

Answer:

All you need to do is find the frequency of the Science Test Scores. For Example, there are 6 students that made a 90%. So, you put 6 dots on the graph where it says 90. For the rest of the numbers, you do the same thing. 3 students made a 50, 2 students made a 60, 7 students made a 70, 5 students made an 80, and like I said 6 students made a 90. Add 0 dots to 40% and 100%, as you can see no students made a 40 or a 100 :(

Step-by-step explanation:

i think its 12 but i dont know

Answer:

To find the effective annual rate (EAR) of an account that pays interest at the nominal rate of 7% per year, compounded daily, we can use the following formula:

EAR = (1 + r/n)^n - 1

where r is the nominal annual interest rate (expressed as a decimal), and n is the number of times the interest is compounded in a year.

For daily compounding, n = 365 (since there are 365 days in a year), so we have:

EAR = (1 + 0.07/365)^365 - 1 = 0.0725 or 7.25%

To find the effective annual rate for hourly compounding, we need to adjust the value of n to account for the fact that interest is compounded more frequently. There are 365 days * 24 hours = 8,760 hours in a year, so we can use n = 8,760:

EAR = (1 + 0.07/8760)^8760 - 1 ≈ 0.0727 or 7.27%

Therefore, the effective annual rate for hourly compounding is approximately 7.27%.

Answer:

your gonna have to give me more details

Step-by-step explanation:

is this even a question

Answer:i dont realy know im just tryna do my work lol

Step-by-step explanation:

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

Learn More about the coordinate geometry visit:

brainly.com/question/18269861

#SPJ1

The probability that the slope of the line determined by p and the point (5/8, 3/8) is greater than or equal to 1/2 is 5/8.

Let the coordinates of point p be (x,y). Then, the slope of the line determined by p and the point (5/8, 3/8) is:

For the slope to be greater than or equal to 1/2, we must have:

Solving for y, we get:

Graphing this inequality on the unit square, we see that the region satisfying this inequality is a trapezoid with vertices (5/8,3/8), (1,1/2), (1,1), and (3/4,1).

The area of this trapezoid is (1/2)*((5/8 - 3/4) + (1 - 5/8) + (1 - 1/2) + (3/8 - 3/16)) = 5/16.

The area of the unit square is 1, so the probability we seek is 5/16.

Hence, the answer is 5/16 written as a fraction in its simplest form, which is 5/16.

Learn more about Probability:

https://brainly.com/question/24756209

#SPJ4

Answer:

  6

Step-by-step explanation:

You want to know the number of workers required to harvest a field in 8 hours if 4 workers can do the job in 12 hours.

Problems like this that involve effort usually measure the effort as a constant product of workers and time.

Here, that product is (4 workers)(12 hours) = 48 worker·hours.

If the same effort is accomplished in 8 hours, the number of workers required is ...

  (48 worker·hours)/(8 hours) = 6 workers

6 workers are needed to accomplish the task in 8 hours.

a) The linear model is Heart weight = 0.66 + 5.26 Body weight

b) The intercept of the model is 0.66

c) The slope of the model is 5.26

d) The correlation coefficient between body weight and heart weight is 0.843, which indicates a strong positive relationship between the two variables.

Regression analysis is a statistical method used to investigate the relationship between two or more variables. In this case, we are interested in predicting the heart weight of domestic cats based on their body weight. The regression output below presents the results of a linear regression analysis.

(a) The linear model is:

Heart weight (in g) = 0.66 + 5.26 Body weight (in kg)

This means that for every 1 kg increase in body weight, the heart weight of cats is expected to increase by 5.26 g. The intercept of 0.66 represents the predicted heart weight when the body weight is 0 kg. However, since it is not possible for a cat to have a body weight of 0 kg, the intercept is not very meaningful in this context.

(b) The intercept is the predicted value of the response variable when the predictor variable (body weight) is zero. In this case, the intercept of 0.66 is not very meaningful because it is not possible for a cat to have a body weight of zero. Therefore, we should focus on the slope of the regression line.

(c) The slope of the regression line represents the rate of change in the response variable for a one-unit increase in the predictor variable. In this case, the slope of 5.26 means that for every 1 kg increase in body weight, the heart weight of cats is expected to increase by 5.26 g. Therefore, the slope is a more useful measure for predicting heart weight based on body weight.

(d) To calculate the correlation coefficient, we can use the formula:

r = (nΣXY - ΣXΣY) / √[(nΣX² - (ΣX)²)(nΣY² - (ΣY)²)]

where n is the sample size, X and Y are the variables, and Σ represents the sum of the values. Using the data provided in the regression output, we can calculate the correlation coefficient as:

r = (144867.25 - 1206.7867.76) / √[(1442027.22 - 1206.78²)(144384.91 - 67.76²)]

r = 0.843

To know more about regression here.

https://brainly.com/question/14184702

#SPJ4

We don't know what the exact p-value is, but we are told that it's as large as 0.005 which is smaller than alpha = 0.05

Since the p-value is smaller than alpha, this means we reject the null hypothesis.

The way you can remember this is "if the p-value is low, then the null must go". By "low", I mean "smaller than alpha".

Recall that the p-value is the probability of observing that specific test statistic, or larger. So the chances of chi-squared being 18.68 or larger is a probability between 0.0025 and 0.005; there's a very small chance of this happening. The p-value is based entirely on the assumption that the null is correct. But if the null is correct, then the chances of landing on this are very small. We have a contradiction that basically leads to us concluding the null must not be the case. It's not 100% guaranteed of course, but it's fairly strong evidence.

In short, the p-value being smaller than alpha = 0.05 means we reject the null.

In order to accept the null, the p-value must be 0.05 or larger.

Answer:

Step-by-step explanation:

in this problem, we are expected to use commination to arrive at a solution

Given data

number of employee= 25

number of team=3

The expression for combination is given as

C(n,r)=(nr)=n!/(r!(n−r)!)

C(25,3)=25!/(3!(25−3)!)

C(25,3)=25!/(3!(22!)

C(25,3)=25*24*23*22!/3!(22!)

C(25,3)=25*24*23*/3!

C(25,3)=25*24*23*/3*2*1

C(25,3)=25*24*23*/6

C(25,3)=13800/6

C(25,3)=2300 ways

The number of ways where a store manager arranges a group is 50,600.

Given that,

Based on the above information, the calculation is as follows:

\(= ^25C_4 \times 4C_1\\\\= \frac{25!}{4!(25-4)!} \times \frac{4!}{1!(4-1)!} \\\\= \frac{25!}{4! \times 21!} \times \frac{4!}{1! \times 3!} \\\\= 12,650 \times 4\)

= 50,600

Therefore we can conclude that the number of ways where a store manager arranges a group is 50,600.

Learn more: brainly.com/question/16115373

(a) The amplitude of the function is 2.

(b) The amplitude of the function is 3.

Amplitude is interval between the resting position and the maximum migration of the wave.

Formula for amplitude of the function is:

y = A sin (ωt + Ф) or y = A cos (ωt + Ф), where A represent the amplitude.

Given:

(a) y = 2 cos [3(Ф + 45)]

Formula for amplitude is:

y = A cos (ωt + Ф)

(b) y = 3 sin [2(Ф - 90)]

Formula for amplitude is

y = A sin (ωt + Ф)

After compare amplitude with equation than we get amplitudes are 2 and 3.

Therefore, the amplitude of the following function are 2 and 3 respectively.

Learn more about amplitude here:

https://brainly.com/question/29013063

#SPJ1

Answer:

m= 72/37

Step-by-step explanation:

36 x 2 - m = 6^2m

Multiply the numbers:

72 - m = 6^2m - 72

Subtract 72 from both sides:

-m - 36m = 36m - 72 - 36m

Simplify:

37m= -72

Divide both sides by 37:

-37m/-37 = -72/-37

Simplify:

72/37

\(log_{4}(2) + log_{4}(3)+ log_{4}(5+2x)\) is the completely expanded logarithmic expression .

Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to  base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8.

The most common types of logarithms are  the base 10 common logarithm, the base 2 binary logarithm, and  the base  e ≈ 2.71828 natural logarithm.

the product rule for logarithms is

\(log_{b}(MN) = log_{b}(M) + log_{b}(N)\)  for b > 0

now ,

\(log_{4}(6(5 + 2x)) \\\\log_{4}(6) + log_{4}(5 + 2x)\\ \\ log_{4}(2.3) + log_{4}(5 + 2x) \\\\ log_{4}(2) + log_{4}(3)+ log_{4}(5 +2x)\)

learn more about logarithms here :

brainly.com/question/28346542

#SPJ13

The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

for such more question on values

https://brainly.com/question/11546044

#SPJ8

Answer:

0

Step-by-step explanation:

1x=x

-x/1=-x

x-x=0

Answer:

Brainleist !

Step-by-step explanation:

x - x /1

x - x = nothing or 0

Yes,  This is established by the Rank-Nullity Theorem, A counter-example would be a transformation that is not linear.

Yes, all linear transformations have a matrix representation. The theorem that establishes this is the Matrix Representation Theorem. This theorem states that given a linear transformation T : V → W where V and W are vector spaces over a field F, then there is a unique matrix A such that T(v) = Av for any v in V. This theorem proves that any linear transformation can be represented by a matrix.

A counter-example of a linear transformation that does not have a matrix representation is a transformation that maps a vector in one vector space to a vector in a different vector space. For example, if V is a vector space over the field F, and W is a vector space over another field K, then the linear transformation T : V → W does not have a matrix representation since the size of the matrix would need to be different for each vector in the different vector spaces.

Learn more about linear here

https://brainly.com/question/27749345

#SPJ1

Answer: the answer is D “The center of circle A is translated left 2 and up 8, and the radius is enlarged by a scale factor of 4/3.”

Step-by-step explanation: