Given sin x= 3/5 and sin y= 2/3 , where x and y are both in first quadrant ' Evaluate sin(x + y)

Answers

Answer 1

With the values sin x= 3/5 and sin y= 2/3 , where x and y are both in first quadrant, then after calculation sin(x + y) = (3 * √(7/9)) / 5 + 1/2.

To evaluate sin(x + y), we can use the identity sin(a + b) = sin a cos b + cos a sin b.

Given that sin x = 3/5 and sin y = 2/3, we have:

sin(x + y) = sin x cos y + cos x sin y

          = (3/5) * √(1 - (2/3)^2) + (√(1 - (3/5)^2)) * (2/3)

          = (3/5) * √(7/9) + (4/5) * (2/3)

          = (3 * √(7/9)) / 5 + (8/15)

          = (3 * √(7/9)) / 5 + (8/15)

          = (3 * √(7/9)) / 5 + (16/30)

          = (3 * √(7/9)) / 5 + (1/2)

          = (3 * √(7/9)) / 5 + 1/2

So, sin(x + y) = (3 * √(7/9)) / 5 + 1/2.

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Related Questions

qs 14-18 determining components of costs of goods manufactured

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Cost of Goods Manufactured is an accounting term used to describe the total cost of producing and manufacturing goods. It includes all direct and indirect costs of production, including labor, materials, overhead, and other expenses. Below are the five components of the cost of goods manufactured.

Direct Materials: It includes the cost of raw materials used in manufacturing a product.

Direct Labor: It includes the wages paid to workers who directly worked on the production line or in manufacturing a product.

Factory Overhead: It includes all indirect costs of manufacturing a product such as depreciation on equipment, rent, insurance, utilities, etc. Work-in-Process

Inventory: It includes the cost of materials, labor, and overhead that has been incurred but has not yet been completed. Finished Goods Inventory: It includes the cost of goods that have been fully manufactured but have not yet been sold.

To calculate the cost of goods manufactured, the sum of all these five components is calculated. It helps manufacturers to determine the total cost of goods manufactured and the cost per unit of production. Cost of goods manufactured is essential in determining the pricing strategy for a product as it helps to ensure that the product is profitable.

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a bike that goes from 6m/s to 16m/s in 20 seconds.

Answers

The initial velocity = vi = 6m/s

The final velocity = vf = 16 m/s

The total time = t = 20 seconds

The rate of change in velocity is called acceleration (a) that can be written as:

\(a\text{ = }\frac{Change\text{ in velocity}}{time}\)

or

\(a\text{ = }\frac{vf-vi}{t}\)

Put the values in the equation to get the value of 'a'.

\(a\text{ = }\frac{16\text{ - 6}}{20}\)\(a\text{ = }\frac{10}{20}\)

or

\(a\text{ = }\frac{1}{2}\)

hence, the value of a is 1/2.

Option 1: 1,811 square feet, 2-3 bedroom, 2 bath house that arrives in 4 modules. It includes the upgraded PEX piping and fiber cement siding that Xavier saw on the tour. The price for Option 1 would be $180 per square foot.

Option 2: 2,600 square feet, 3-4 bedroom, 3 bath house that arrives in 5 modules. It also includes the upgraded PEX piping and fiber cement siding. The price for Option 2 is $195 per square foot.

Calculate Xavier’s transportation cost to have the modules delivered on the same day
Use this formula to calculate Xavier’s cost:

[(.20 × miles)+500]× number of modules

Option 1: 1,811 square feet, 2-3 bedroom, 2 bath house that arrives in 4 modules. It includes the upgraded

Answers

If the price is $180 per square foot, the price of the lot will be $3,240,000

To calculate Xavier cost, we need to first calculate the area of the lot (trapezium)

Area of the trapzium = 1/2(a+b)h

h is the height of the trapeziuma and b are the sides

Area of the trapezium =  1/2(175+185)*100

Area of the trapezium = 1/2(360)*100

Area of the trapezium = 18000 square foot.

If the price is $180 per square foot, the price of the lot will be 18000 * 180 = $3,240,000

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refer to table 13-12. firm 4's efficient scale occurs at what quantity?

Answers

The firm 4's efficient scale occurs at 4

In this question, we have been given a table of long-run total cost and the quantity.

We need to find the quantity at which the firm 4's efficient scale occurs.

We know that the efficient scale occurs at the quantity of output where average total cost is minimum.

For the firm 4 the average total cost would be,

(210 + 340 + 490 + 660 + 850 + 1060 + 1290) / 7

= 4900 / 7

= 700

This value is clsoe to 660.

Therefore, the firm 4's efficient scale occurs at quantity 4.

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Given question is incomplete.

refer to table 13-12. firm 4's efficient scale occurs at what quantity?

What is the difference (2 x - 3) - (x - 1)?
x minus 4
x minus 2
x + 2
x + 4

Answers

Answer:

Step-by-step explanation:

It may help you to rewrite this problem in columns:

 2x - 3

-(  x - 1)

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

   x - 2 (answer) ("x minus 2")

at what values of x does the graph of y=x^2e^-2x have a point of inflection

Answers

The graph of the function y = x^2e^(-2x) has a point of inflection at x = 1/2.

To find the points of inflection, we need to determine where the concavity of the graph changes. A point of inflection occurs when the second derivative of the function changes sign.

First, we find the first and second derivatives of y with respect to x:

y' = 2xe^(-2x) - 2x^2e^(-2x)

y'' = 2e^(-2x) - 4xe^(-2x) + 4x^2e^(-2x)

Next, we set y'' equal to zero and solve for x:

2e^(-2x) - 4xe^(-2x) + 4x^2e^(-2x) = 0

Simplifying the equation, we get:

2 - 4x + 4x^2 = 0

2x^2 - 2x + 1 = 0

The quadratic equation above has only one real solution, which is x = 1/2. This is the value of x at which the graph of y = x^2e^(-2x) has a point of inflection.

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a lump sum of $2000 is invested at 4.2% compounded continuously. (a) write the function for the model that gives the future value of the investment in dollars after t years. f(t)

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The function for the model that gives the future value of the investment in dollars after t years is: f(t) = 2000.e⁰·°⁴²t

Give, a lump sum of $2000 is invested at 4.2% compounded continuously.

Hence we have:

P = $2000

rate of interest = 4.2%

years = t

we know that A = Pe^rt

Substitute the above values in the formula.

Amount = f(t)

f(t) = 2000.e⁰·°⁴²t

hence we get the function for the model that gives the future value of the investment is f(t) = 2000.e⁰·°⁴²t

Therefore we get the required function.

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What is CD? Round to two decimal place

What is CD? Round to two decimal place

Answers

The length of CD is given as follows:

CD = 14.42 units.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The segment CD is the hypotenuse of a right triangle in which the sides have lengths of 12 and 8, hence it's length x is obtained as follows:

x² = 12² + 8²

x = sqrt(12² + 8²)

x = 14.42 units.

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What’s the product of r and 9

Answers

Answer:

9r

Step-by-step explanation:

Multiply 9 and r together.

Answer: 9r

Step-by-step explanation:

I am not fully sure I tried to doubble check but I couldn't find anything

I think you can multiply unlike terms so 9 times r is 9r

In the equation Y=13X+38 where Y is a function of X a) Y is a constant. b) 38 is a variable. c) the slope of the line is 13. d) None of these. 13) If Kolin catches 25 fish and gathers 70 fruits it would be co a) an efficient combination b) an unattainable combination c) an inefficient combination d) the most efficient combination Use the figure on the left to answer qucstions 14. 14. What is the equilibrium price and quantify? a. $35 and 6 dozens of roses per day b. $10 and 2 dozens of roses per day? c. Sis and 14 dozens of roses per day d. $25 and 10 dozens of roses per day

Answers

1)The slope of the line is C) 13. 2)It would be inefficient since it is not the most optimal use of resources.the correct option is C. 3)The equilibrium price and quantity are D) $25 and 10 dozens of roses per day, respectively.

1) Y = 13X + 38, where Y is a function of X.

The slope of the line is 13.

Therefore, the correct option is C.

2) Kolin catches 25 fish and gathers 70 fruits. If we consider the combination, then it would be inefficient since it is not the most optimal use of resources.

Therefore, the correct option is C.

3) Using the given figure, we can see that the point where the demand and supply curves intersect is the equilibrium point. At this point, the equilibrium price is $25 and the equilibrium quantity is 10 dozens of roses per day.

Therefore, the correct option is D. The equilibrium price and quantity are $25 and 10 dozens of roses per day, respectively.

Note that this is the point of intersection between the demand and supply curves, which represents the market equilibrium.

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the sample mean is 59.1 km with a sample standard deviation of 2.31 km. assume the population is normally distributed. the p-value for the test is:

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The p-value for the test is found as 0.05 for the given hypothesis.

Given,Sample mean = 59.1 km

Sample standard deviation = 2.31 km

Population is normally distributed

P-value for the test is to be determined.

To find the p-value, we need to perform a hypothesis test. Here, we have to test whether the null hypothesis is true or not.

Hypothesis statements:

Null hypothesis (H0): µ = 60 km (The population mean is 60 km)

Alternative hypothesis (Ha): µ ≠ 60 km (The population mean is not equal to 60 km)

Level of significance, α = 0.05

Z-score formula is given as,Z = (x - µ) / (σ/√n)

Where,x = Sample mean = 59.1 km

µ = Population mean

σ = Standard deviation of the population = 2.31 km

n = Sample size

We have,σ/√n = 2.31/√n

For α = 0.05, the two-tailed critical values are ±1.96

Now, the calculated Z-score is given as,

Z = (59.1 - 60) / (2.31/√n)

Z = - (0.9) * ( √n / 2.31)

P(Z < -1.96) = 0.025 and P(Z > 1.96) = 0.025

P-value = P(Z < -1.96) + P(Z > 1.96)

P-value = 0.025 + 0.025

P-value = 0.05

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60% off $69.80. what is the sale price?

Answers

Answer:

Step-by-step explanation:

60 percent of $69.80 = $41.88

Answer:

27.92$

Solve

Convert 60% into its decimal form.(0.6)

When finding the part of the whole number and percent, you must multiply.

\(0.6 * 69.80 = 41.88\)

Now, to find the actual price, subtract 60% of 69.8(41.88) by 69.8

\(69.8 - 41.88 = 27.92\\)

Therefore, the item is on sale for 27.92$

Questions?

Ask in the comments.

You have been asked to check EOQ figures. You have been given the following data: demand is 19012 units per quarter, 5 - \( \$ 120 \) per ordes, Brice = 35 per unte and holding using their current ord

Answers

Based on the given data,the calculated Economic Order Quantity( EOQ) is approximately 360.50 units.

Based on the given data, we can calculate the Economic Order Quantity (EOQ) using the formula:

EOQ = sqrt((2 * demand * setup cost) / holding cost)

First, we need to determine the setup cost, which is given as $120 per order. The holding cost is $35 per unit.

Demand = 19012 units per quarter

Setup cost = $120 per order

Holding cost = $35 per unit

Substituting these values into the EOQ formula:

EOQ = sqrt((2 * 19012 * 120) / 35)

= sqrt(4562880 / 35)

≈ sqrt(130082.29)

≈ 360.50

Therefore, the calculated EOQ is approximately 360.50 units.

To check the EOQ figures, you would compare this result to their current order quantity. If their current order quantity is close to 360.50 units, then the EOQ figures are in line with their current practice. However, if the current order quantity significantly differs from 360.50 units, further analysis may be required to understand the factors influencing their ordering decisions.

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Minh has a number cube. It has a different number on each side: 4,5,6,7,8, or 9. Minh will roll the number cube once. What is the probability he will roll a 5​

Answers

Answer:

it is a 20 percent chance on all of them

Step-by-step explanation:

The probability that Minh will roll a 5 is 1/6
Step-by-step explanation:
The number of events = Minh rolls 4 + Minh rolls 5 + Minh rolls 6 + Minh rolls 7 + Minh rolls 8 + Minh rolls 9 = 6 events
The number of required outcome = Minh rolls 5
The probability, P, of an event occurring is defined as follows;

Which gives for the probability, P₅, that when Minh roll the number cube one he will roll a 5, we have
The number of possible outcomes = The number of events = 6
The number of required outcome = 1
Therefore;

Therefore, the probability that Minh will roll a 5 = 1/6.

Use Trig to Solve this...If you dont know how to use trig in right triangles then DONT answer.

Use Trig to Solve this...If you dont know how to use trig in right triangles then DONT answer.

Answers

Answer:

3445!

Step-by-step explanation:

hI swear i rember tis question!

How many 1/20 are there in 1/4?

Answers

Answer:

there are 5

Step-by-step explanation:

(PLEASE ANSWER!!! BRAINILEST! EXPLAIN!) I bought 1 pound of grapes for $3.75. I bought 4 pounds of strawberries for $15.63. Which is least expensive per pound? Explain your reasoning.

Answers

Answer:

1 pound for $3.75

if you divide $15.63 by 4, you would get 3.9075, which is more than $3.75

Step-by-step explanation:

I need help on this IXL if someone could help.

I need help on this IXL if someone could help.

Answers

2x4x5c+9? 6x5 6.5 8x9

i need to find what is 18 divided by 8

Answers

The answer is 2.25.

Answer:

2.25

Step-by-step explanation:

Similarly, converting between units can be very important, and it can be done by canceling units. For example, suppose that I want to convert 66 feet/second into miles per hour. If I know that there are 5280 feet in a mile, 60 seconds in a minute, and 60 minutes in an hour, then I can convert the quantity by multiplying it by those conversion factors in such a way that they cancel: ( 1 s
66ft )( 1 min60 s )( 1hr 60 min )( 5280ft1 mile )=45mile/hr I can do this because each conversion factor is equal to one, and multiplying by one does not change anything. Notice that if you cancel all the units that you can, you are left with the desired units. The numbers are evaluated with normal arithmetic. Cglints = 1 filn 4 ZCOS=1 strord Now you try, except I'm going to make up some fictional units for you to work with: There are 12 grees in a zool. There are 2 grees in 10 twibbs. There are 5 grees in a blob. There are 6 glints in a filn. There are 4 zools in a strord. 12 grees =1 ZOO 2 grees =10 twibs 5 grees =1 bic (a) Convert the quantity 7 glint/twibb (i.e., 7 glints-per-twibb) into filn/strord (i.e., filns-per-strord). As always, show your work. (b) Often we use prefixes for scientific units. For example, there are one-hundred centimeters in a meter. Similarly, the prefix kilo- means a factor of 10
3. For example, a kilometer is 10 3 meters or 1000 meters. If you need to review these prefixes, there is a handy chart on Wikipedia: ht tpa://en.wikipedia.org/wiki/Metric_prefix. Convert your answer from part (a) into megafiln/strord (i.e., megafilns-per-strord). (Hint: Check your answer for plausibility. Should the number of megafilns-per-strord be bigger or smaller than the number of filns-per-strord? If someone is going 1 foot-per-hour, are they going a larger number of feet-per-hour or a larger number of miles-per-hour?)

Answers

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.

(a) The given units can be converted as follows: 6 glints = 1 filn...

(1)12 grees = 1 zool...

(2)2 grees = 10 twibbs...

(3)5 grees = 1 bic...

(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:

7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord

(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.

1 mega = 106

Thus 1 megafiln = 106 filn

16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.

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What number could replace b below?

What number could replace b below?

Answers

Answer:

1

Step-by-step explanation:

1. describe your personal experience with cliques. do you think that cliques, those exclusive peer groups that are part of most schools, have enhanced or detracted from your high school career? explain your answer.

2. the article mentions a number of cliques found in many high school environments around the united states. are these groups present in your school? can you add any other cliques to this list? cruel schools

3. sociologists peter and patti adler believe that clique members purposely reject and hurt outsiders in order to gain status within the group. do you agree with this statement? explain your answer.

4. some schools have attempted to control cliques by requiring school uniforms or implementing other programs that encourage acceptance. in your opinion, are these policies useful in curbing the negative aspects of cliques? should schools attempt to control or limit exclusive peer groups?

Answers

A Programs that encourage acceptance, tolerance, and inclusivity can also help create a more positive school culture.

1. describe your personal experience with cliques.

A cliques can also be exclusive and create a sense of division among students. They may lead to feelings of exclusion and isolation for those who are not part of the group. This can detract from a high school career by limiting social interactions, causing stress, and affecting self-esteem. Additionally, cliques may engage in negative behaviors such as bullying or ostracizing others, which can have detrimental effects on individuals and the overall school environment.

2. The article mentions a number of cliques found in many high school environments.

A data on specific schools, An information about the presence of cliques in any particular school .It is common to find various cliques in high schools, and the article likely mentioned some prevalent ones found in many high school environments in the United States.

Jocks/Sports enthusiasts: Students who are heavily involved in sports activities and prioritize athletic pursuits.

Nerds/Geeks: Students who are academically inclined and enthusiastic about intellectual pursuits such as science, math, technology, or other specific fields of interest.

Artists/Creative types: Students who are passionate about arts, music, drama, or other creative end eavors.

Social activists: Students who are actively engaged in social causes, volunteering, or advocating for various issues.

3. sociologists peter and patti adler believe that clique members purposely reject and hurt outsiders in order to gain status within the group.

The statement made by sociologists Peter and Patti Adler suggests that clique members purposefully reject and hurt outsiders to gain status within the group. While this behavior may occur in some cases, it is not necessarily true for all cliques. It's important to avoid generalizations and recognize that individual experiences can vary.

Cliques can sometimes form based on shared interests, personalities, or social dynamics, and it is possible for members to unintentionally exclude others without malicious intent. However, it is also true that some cliques may engage in exclusionary behaviors as a means of asserting their status or power within the group. It ultimately depends on the specific individuals and dynamics within each clique.

4. some schools have attempted to control cliques by requiring school uniforms or implementing other programs.

Implementing policies such as school uniforms or programs that encourage acceptance can have some positive effects on curbing the negative aspects of cliques. School uniforms, for example, can reduce visible differences in clothing styles and brands, potentially minimizing the influence of material possessions on social status. This might promote a more inclusive environment where students are judged less based on their attire.

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If Zoe has 9 apples, and each apple were 9 grams of sugar. How many grams of sugar does Zoe ate if see eats 9 apples each day this week.

Answers

Answer: 567

Step-by-step explanation: 9*9=81  then you take 81 and times it by however many days there is in the week (aka 7) 81*7=567

When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is?

Answers

When two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

We need to find the type of correlation when two variables vary along with each other but the data points are loosely scattered around the line of best fit.

What are scatterplots?

A scatter plot helps find the relationship between two variables. This relationship is referred to as a correlation. Based on the correlation, scatter plots can be classified as follows.

Scatter plot for the positive correlationScatter plot for negative correlationScatter plot for null correlation

A weak positive correlation indicates that, although both variables tend to go up in response to one another, the relationship is not very strong. A strong negative correlation, on the other hand, indicates a strong connection between the two variables, but that one goes up whenever the other one goes down.

Therefore, when two variables vary along with each other but the data points are loosely scattered around the line of best fit, the correlation is weak correlation.

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What are five numbers between 3/5 and 1

Answers

Answer:

70, 89, 64, 96, 82

Step-by-step explanation:

You can translate 3/5 into a whole number because 5 goes into 100, 20 times. So if you figure out the 3/5 is 60, you can use any numbers between that and 100.  

PLEASE HELP 5 QUESTIONS MUST BE GOOD AT MATH
DO NOT ANSWER THE QUESTION ASKING A QUESTION COMMENT THE QUESTION PLEASE WILL GIVE BRAINLY ONLY IF ALL QUESTONS CORRECT

PLEASE HELP 5 QUESTIONS MUST BE GOOD AT MATHDO NOT ANSWER THE QUESTION ASKING A QUESTION COMMENT THE
PLEASE HELP 5 QUESTIONS MUST BE GOOD AT MATHDO NOT ANSWER THE QUESTION ASKING A QUESTION COMMENT THE
PLEASE HELP 5 QUESTIONS MUST BE GOOD AT MATHDO NOT ANSWER THE QUESTION ASKING A QUESTION COMMENT THE
PLEASE HELP 5 QUESTIONS MUST BE GOOD AT MATHDO NOT ANSWER THE QUESTION ASKING A QUESTION COMMENT THE
PLEASE HELP 5 QUESTIONS MUST BE GOOD AT MATHDO NOT ANSWER THE QUESTION ASKING A QUESTION COMMENT THE

Answers

Answer:

1. B

2. A

3. B

4. D

5. C

Identify the function family and describe the domain and range for g(x) = |x + 2|– 1.

Answers

The answer of g(x) =|x+2|-1 is X1 =-3, X2=-1

The range of the function  g(x) = |x + 2|– 1 is (-1,∞) and domain of the function is (-∞,∞).

What is the range and domain of a function?

A function's range is the set of all values that the function accepts, and its domain is the set of all values for which the function is defined.

The domain is for the independent variable while the range is for the dependent variable.

For example f(x) = x²

Now if we put x = 1 then it is called as domain variable while the value of function at x = 1 its that f(1) = 1 called range variable.

Given the function  g(x) = |x + 2|– 1

The minimum value of the function

At x = -2 ⇒ |-2+ 2|– 1 = -1

The maximum value of the function

At x = ∞ ⇒ |∞+ 2|– 1 = ∞

So,

The range will be (-1, ∞)

Now,

We can put x as -∞ and ∞ so the domain will be (-∞,∞).

Hence "The range of the function  g(x) = |x + 2|– 1 is (-1,∞) and domain of the function is (-∞,∞)".

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What is the area of the rectangle

What is the area of the rectangle

Answers

Answer:

B) \(\frac{15}{4}\)

Step-by-step explanation:

Area of a rectangle formula:

A = bh

Given:

b = \(2\frac{1}{2}\)

h = \(1\frac{1}{2}\)

Work:

A = bh

A = \((2\frac{1}{2} )(1\frac{1}{2} )\)

A = \(\frac{15}{4}\)

Henrietta, the owner of a very successful hotel chain in the Southeast, is exploning the possibility of expanding the chain into a cty in the Northeast. She incurs $25,000 of expenses associated with this investigation. Based on the regulatory environment for hotels in the city, she decides not to expand. During the year, she also investigates opening a restaurant that will be part of a national restaurant chain. Her expenses for this are 553,200 . She proceeds with opening the restaurant, and it begins operations on May 1. Determine the amount that Henrietta can deduct in the current year for investigating these two businesses. In your computations, round the per-month amount to the nearest dollar and use rounded amount in subsequent computations. a. The deductible amount of investigation expenses related to expansion of her hotel chain into another city: b. The deductible amount of investigation expenses related to opening a restaurant: s For each of the following independent transactions, calculate the recognized gain or loss to the seller and the adjusted basis to the buyer. If an amount is zero, enter " 0".

Answers

The deductible amount of investigation expenses related to expanding her hotel chain into another city is $25,000, and the deductible amount of investigation expenses related to opening a restaurant is $184,400.

For the investigation expenses related to expanding her hotel chain, the entire amount of $25,000 can be deducted in the current year since Henrietta decided not to proceed with the expansion. Regarding the investigation expenses related to opening a restaurant, the deductible amount needs to be determined. Since the restaurant began operations on May 1, we need to calculate the deductible amount for the period from January 1 to April 30. To calculate the deductible amount for the restaurant investigation expenses, we divide the total expenses of $553,200 by 12 months to get the per-month amount. Rounded to the nearest dollar, the per-month amount is $46,100. Next, we multiply the per-month amount by the number of months from January 1 to April 30, which is 4 months. Deductible amount for the restaurant investigation expenses = $46,100 * 4 = $184,400. Therefore, Henrietta can deduct $184,400 for the investigation expenses related to opening the restaurant.

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A sales manager sets sales goals for each of his employees. The manager increases the goals of his salespeople by 5% each month. If Maria’s sales goal was initially 95 units for the month, what is her sales goal after 6 months?

Answers

Answer:

Her sales after 6 months are = 127units

Step-by-step explanation:

Percentage increase:- The degree to which a value increases expressed in percent form is known as percentage increase.

formula for % increase = (final value - initial value)/initial value(100)

Here in the question,

percentage increase after every month is = 5%

initial value  =  95 units

therefore by applying above formula :-

[(x-95)/95]×100 = 5          [where x is the value of her sales goals after 1 month]

x = (5/100)×95+ 95

x = 99.75

Now this x will be the initial value for the next month

x₂ = (5/100)99.75+ 99.75             [ x₂ = sales goal after 2 months]

x₂ = (5/100)×99.75+ 99.75

x₂ = 104.73

similarly,

(x₃-104.73/104.73)100 = 5       [x₃ = sales after 3 months]

x₃ = 109.96

similarly for 4th month,

(x₄ -109.96/109.96)100 = 5       [x₄ = sales after 4 months]

x₄ = 115.45

for 5th month,

(x₅ -115.45/115.45)100 = 5       [x₅ = sales after 5 months]

x₅ = 121.22

finally for the 6th month

(x₆-121.22/121.22)100 = 5        [x₆ = sales after 6 months]

x₆ = 127.28

therefore,

her sales after 6 months are = 127.28 units or 127 units by rounding off

learn more on percentage increase at :

https://brainly.com/question/14163915

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