In 1990, Jerry’s gross pay was $78000.
A. What was his monthly pay?
B. In what month did Jerry hit the maximum taxable Social Security income?
C. How much Social Security tax did Jerry pay in January?
D. How much Social Security tax did Jerry pay in December?

Answer:

1 1/8

Step-by-step explanation:

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

Learn more about holding period

brainly.com/question/32568151

#SPJ11

Answer:

Step-by-step explanation:

2 subtraction symbols equals a plus

so the answer is 9

The two major political parties in the United States are broad coalitions designed to attract enough voters to win elections, but they are based on particular narrow economic interests.

They often differ in different parts of the country and their positions on issues may not always reflect the wishes or needs of contemporary voters.The two major political parties in the United States, the Democratic Party and the Republican Party, are known for their broad coalitions, aiming to appeal to a diverse range of voters. These parties have to attract enough support to secure victories in elections, which requires forming alliances and compromising on certain issues. However, it is true that both parties are based on specific narrow economic interests.

While they seek to represent a wide array of constituents, their policies and priorities often align with particular sectors or groups that have significant influence within the parties. Moreover, the parties can differ across different regions of the country. The Democratic and Republican parties may have distinct characteristics and priorities in various states or localities, as the political landscape and demographics vary. This regional variation can lead to differing policy positions and strategies within the parties.

Another aspect to consider is that the positions adopted by the major parties may not always align with the wishes or needs of contemporary voters. Over time, societal attitudes, values, and priorities evolve, but political parties may struggle to quickly adapt to these changes. This can result in a disconnect between the platforms and policies of the parties and the desires of the electorate.

In summary, the major political parties in the United States are broad coalitions that aim to attract enough voters to win elections. While they represent a wide range of interests, they are often based on particular narrow economic interests. The parties can also exhibit regional differences, reflecting the diverse political landscapes across the country. Additionally, their positions on issues may not always align with the contemporary wishes or needs of voters.

Learn more about sectors here: https://brainly.com/question/30106296

#SPJ11

Part A:What is the probability of getting a red jellybean on the first draw?

Given information: Red jellybeans = 12  Yellow jellybeans = 8  Green jellybeans = 4   Total jellybeans = 24                           The probability of getting a red jellybean on the first draw is:

Probability of getting a red jellybean=Number of red jellybeans/Total jellybeans=12/24=1/2=0.5

Decimal: P(1st Red)=0.5 Percent: P(1 st Red )=50%

Part B: Let's say you did get a red jellybean on the first draw.

What is the probability that you will then get a green on the second draw?

Now, the total number of jellybeans is 23, since one red jellybean has been taken out. The probability of getting a green jellybean is: Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174 Decimal: P(2nd Green | 1st Red )=0.174 Percent: P(2nd Green | 1st Red )=17%

Part C: If you had gotten a yellow on the first draw, would your answer to Part B be different?

Yes, because there is only 1 rotten egg yellow jellybean and if it were chosen in the first draw, it would not be returned back to the container. Therefore, the total number of jellybeans would be 23 for the second draw, and the probability of getting a green jellybean would be:

Probability of getting a green jellybean=Number of green jellybeans/Total number of jellybeans=4/23=0.174

Thus, the answer would be the same as Part B.

Part D: What is the conditional probability of the dependent event "red then green?"

Given that one red jellybean and one green jellybean are selected: Probability of the first jellybean being red is 1/2

Probability of the second jellybean being green given that the first jellybean is red is 4/23

Probability of "red then green" is calculated as follows: Probability of red then green=P(Red) × P(Green|Red)= 1/2 × 4/23 = 2/23  Decimal: P(1st Red and 2nd Green )=2/23  Percent: P(1st Red and 2nd Green )=8.70%

To learn more about finding Probability :

https://brainly.com/question/25839839

#SPJ11

Only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane. So, correct option is A.

In the 1H NMR spectrum, the number of singlets corresponds to the number of unique hydrogen environments in the molecule. Each unique hydrogen environment, where the hydrogens are chemically equivalent, will produce a singlet peak.

In 2,2,4,4-tetramethylpentane, all the carbons are identical, and each carbon is bonded to three hydrogen atoms. The four methyl groups (-CH3) are also chemically equivalent to each other. Therefore, all the hydrogens in this molecule are in equivalent environments, and there are no differences between them.

Since all the hydrogens are chemically equivalent, they will produce a single peak in the 1H NMR spectrum. This single peak is called a singlet.

Hence, the correct answer is option a, as only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane.

To learn more about singlets click on,

https://brainly.com/question/31037641

#SPJ4

Answer: Two singlets.

Step-by-step explanation:

The methyl groups are all equivalent with no neighbors, so they all give rise to only 1 peak.

There is a methylene group that gives rise to another peak.

So the total is 2 singlets.

Therefore, we can rationalize the denominator of a fraction containing a radical by taking the methods outlined above.

Components of fractions are the numbers in the numerator and denominator (and ratios). The denominator, which is the smallest number, represents the greatest possible number of parts that can be put together to create a whole. You can tell how many parts you have by looking at the numerator, which is the greatest number. It might not be the whole thing! If the denominator is 0, that is bad. Division by zero is prohibited. If the denominator is a 1, our fraction is actually an integer.

Here,

we can rationalize a radical-containing fraction's denominator by doing the following:

Step 1: In order to eliminate the radical from the denominator, multiply the numerator and denominator by a radical.

Verify in step two that all radicals have been streamlined.

Step three is to simplify the fraction, if necessary.

Therefore, we can rationalize the denominator of a fraction containing a radical by taking the methods outlined above.

To know  more about fraction , visit

brainly.com/question/10708469

#SPJ1

Answer: the zeros are x = 7, -3

Step-by-step explanation:

Answer:

The DNA is a double-stranded molecule that has a long chain of nucleotides. The RNA is a single-stranded molecule which has a shorter chain of nucleotides. Propagation. DNA replicates on its own, it is self-replicating. RNA does not replicate on its own.

Neuron Function: Food Preservation

Fertilizer Meaning: Exocrine Glands

Food Chain Examples: Cell Biology

ANSWER

My answer is in the photo above

the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.

When deciding upon the inclusion of a variable, the following criteria are commonly used:

A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.

B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.

C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.

D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.

To know more about variable visit:

brainly.com/question/29583350

#SPJ11

Answer: slope is 4, y intercept is ( 0,8) , x intercept is (-2,0)

Step-by-step explanation: graph the line using the slope and and y intercept.

Answer:

Step-by-step explanation:

x+5+x+7x-5=180 degree (being the interior angles of a triangle)

9x=180

x=180/9

x=20 degree

Answer:

x° = 20°

Step-by-step explanation:

Sum of angles of triangles = 180°

Therefore,

(x + 5) + (7x - 5) + x = 180

x + 5 + 7x - 5 + x = 180

9x = 180

x = 20

∠M = (x + 5) = 20 + 5 = 25°

∠L = (7x - 5) = 140 - 5 = 135°

∠N = x = 20°

Step-by-step explanation:

12*12/5*4/2

3.6 answe .....

Answer:

12 x 12 = 144

Divided by

5 x 4 = 20

so 144/20 times 1/2 = 3.6

Answer:

the nwser is 8 please mark brainliest

Step-by-step explanation:

==========================================================

Explanation:

Refer to the diagram below.

A small rectangle has its longer side equal to 10 and its shorter side is x, which is some real number on the interval 0 < x < 10.

Across the top, the two sides of length 10 add to 20. So the larger rectangle has a horizontal dimension of 20 units.

The vertical side of the larger rectangle is x+10+x = 2x+10 units

The area would be

area = length*width = 20(2x+10) = 40x+200

Each of the nine smaller rectangles has area of length*width = 10x. Since we have 9 identical copies, the smaller rectangle areas must add to 9*10x = 90x

---------------

Equate those two expressions and solve for x

90x = 40x+200

90x-40x = 200

50x = 200

x = 200/50

x = 4

So each smaller rectangle has area of 10*x = 10*4 = 40 square units. In total, the nine smaller rectangles combine to an area of 9*40 = 360 square units

Note how x = 4 leads 40x+200 to result in 360 as well.

Answer:

4

Step-by-step explanation:

They have 4 because when you add 2+2 you get the sum of 4.

Answer:

4

Step-by-step explanation:

Just add the apples together. Although if this is a riddle then I don't know. They use past tense saying that they HAD 2 apples. I highly doubt this is a trick question though.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

if S=2*Π*r*h

h=S/(2*Π*r)

The variance of the sum Z = X + Y is 5.

What is Variance?

A set of numerical data's spread or dispersion is measured by the term "variance." It describes the deviation of a data set's values from its mean (average). The variance indicates how evenly distributed the data is; conversely, the variance indicates how closely the data is grouped around the mean.

If X is a Poisson-distributed random variable with mean X = 3 and Y is a second Poisson-distributed random variable with mean Y = 2, and X and Y are independent, then the variance of the sum Z = X + Y is given by:

Var(Z) = Var(X) + Var(Y) = μX + μY = 3 + 2 = 5.

So, the variance of the sum Z = X + Y is 5.

Learn more about poisson distributed at https://brainly.com/question/30465210

#SPJ4

If y is a second Poisson distributed random variable with a mean of 2, and both x and y are independent Poisson distributed random variables, then the variance of the sum Z = X + Y is 5.

What is Variance?

A set of numerical data's spread or dispersion is measured by the term "variance." It describes the deviation of a data set's values from its mean (average). The variance indicates how evenly distributed the data is; conversely, the variance indicates how closely the data is grouped around the mean.

If X is a Poisson-distributed random variable with mean X = 3 and Y is a second Poisson-distributed random variable with mean Y = 2, and X and Y are independent, then the variance of the sum Z = X + Y is given by:

Var(Z) = Var(X) + Var(Y) = μX + μY = 3 + 2 = 5.

So, the variance of the sum Z = X + Y is 5.

Learn more about variance at

brainly.com/question/29253308

#SPJ4

Answer:

mean is the average of the numbers (add them all up then divided by how many number there are)

mode is the number that comes out the most often

range is the largest number minus the smallest

median is the middle number when they are lined up from greatest to the least  (unless there's two)

Step-by-step explanation:

a song we learned in 5th grade XD that i still remember somehow

Answer:

This is what mean, median, and mode are-

Step-by-step explanation:

Mean is when you add all the number there are and divide by the total of numbers that you added together like this for example.

(1+2+3+4+5 = 15) THEN (15 / 5 = 3) THE MEAN IS 3.

Median is when you group the number from smallest to biggest and keep on crossing out both side of the number till you reach the middle.

(1, 2, 3, 4, 5) YOUR MEDIAN SHOULD BE 3 CAUSE IF YOU CROSS OUT 1,5 THEN 2,4 YOU WILL GET 3.

Mode are the most common number that you will see. You could have no mode or many mode too.

(1, 2, 2, 3, 4, 5) THERE IS ONLY ONE MODE HERE WHICH IS 2.

(1, 2, 3, 4, 5) THERE IS NO MODE CAUSE THERE IS NO REPEATING NUMBER.

(1, 2, 3, 4, 4, 5, 5) THERE IS TWO MODE NOW WHICH ARE 4 AND 5.

HOPE THIS HELPS!

The mean of samples 10, 10, 10, 10, 10, and 16 will be 11.

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.

In a sample of n = 6, five individuals all have scores of x = 10 and the sixth person has a score of x = 16.

Then the data set will be given below.

10, 10, 10, 10, 10, 16

Then the mean of the data set will be

Mean = (10 + 10 + 10 + 10 + 10 + 16) / 6

Mean = 66/6

Mean = 11

Thus, the mean of the sample will be 11.

More about the mean link is given below.

https://brainly.com/question/521501

#SPJ4

Answer:

52 ounces

Step-by-step explanation:

6 1/2 * 8 = 52 ounces

The probability of one robot succeeding in a task less than or equal to 80 times out of 100 can be calculated using a binomial distribution formula. Assuming the probability of success for one robot is p, the probability of success for both robots is p^2. Using the binomial distribution formula, we can calculate the probability of success for each robot and then multiply them together to find the probability of both robots succeeding less than or equal to 80 times out of 100. The formula is P(X<=80) = sum of P(X=k) from k=0 to k=80, where X is the number of successes in 100 attempts.

To calculate the probability of both robots succeeding less than or equal to 80 times out of 100, we need to first find the probability of success for one robot. Let's assume the probability of success for one robot is p = 0.7. The probability of success for both robots is then p^2 = 0.7^2 = 0.49.

Next, we need to use the binomial distribution formula to calculate the probability of success for each robot. The formula is P(X=k) = (n choose k) * p^k * (1-p)^(n-k), where n is the number of attempts, k is the number of successes, and (n choose k) is the binomial coefficient.

Using this formula, we can calculate the probability of one robot succeeding less than or equal to 80 times out of 100. P(X<=80) = sum of P(X=k) from k=0 to k=80 = sum of [(100 choose k) * 0.7^k * 0.3^(100-k)] from k=0 to k=80.

We can use a calculator or a software program like Excel to calculate this sum. The result is 0.9899, which means the probability of one robot succeeding less than or equal to 80 times out of 100 is almost 99%.

To find the probability of both robots succeeding less than or equal to 80 times out of 100, we just need to multiply the probability of one robot succeeding by itself: 0.9899 * 0.9899 = 0.9799. So the probability of both robots succeeding less than or equal to 80 times out of 100 is about 98%.

The probability of both robots succeeding less than or equal to 80 times out of 100 can be calculated using the binomial distribution formula. Assuming the probability of success for one robot is p, the probability of success for both robots is p^2. Using the formula P(X<=80) = sum of P(X=k) from k=0 to k=80, we can calculate the probability of one robot succeeding less than or equal to 80 times out of 100. Multiplying this probability by itself gives us the probability of both robots succeeding less than or equal to 80 times out of 100. For the given values, the probability is about 98%.

To know more about bionomial distribution visit:

https://brainly.com/question/9295333

#SPJ11

Step-by-step explanation:

Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

Answer:

A' (-1,2), B' (-5,-3), C' (3,2)

Step-by-step explanation:

Reflect triangle ABC across the y-axis.

Ry-axis: (x,y) → (-x,y)

A (1,2) → A' (-1,2)

B (5,-3) → B' (-5,-3)

C (-3,2) → C' (3,2)

I hope this helps :)

Answer:

this the season to be jolly falalalalaaaa la la la la

Answer:

Step-by-step explanation:

20049 IS YOUR ANSWER

The given velocity components are:

u = 2xt - 3xyz + 4xyw = 3x - 5yzt + yz

To satisfy the continuity equation, the third velocity component must be of the form

v = -ux - wy

Thus,v = -2xt + 3xyz - 4xy (from u)v = -3x + 5yz t - yz (from w)

The third velocity component

v = -2xt + 3xyz - 4xy - 3x + 5yz t - yz

= -2xt + 3xyz - 4xy - 3x + 5yz (t - 1)

The velocity of the fluid particle is given by,

v = (u, v, w) = (2t, -2t + 3z, 3 - 5zt + y)at (1, 0, 1) and t = 1 (last digit),v = (2, -2, -2)

The acceleration of the fluid particle is given by,

a = (at, av, aw)

= (∂u/∂t, ∂v/∂t, ∂w/∂t)at (1, 0, 1) and t = 1 (last digit),a = (2, 3, -5)

To know more about particle visit:

https://brainly.com/question/13874021

#SPJ11