Answer:
149
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence.
5 - 2 = 8 - 5 = 11 - 8 = 14 - 11 = 3
This indicates the sequence is arithmetic with n th term
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , thus
a₅₀ = 2 + (49 × 3) = 2 + 147 = 149
what is loaded lion valuation calculator
A loaded lion valuation calculator is a tool to estimate the value of a high-growth startup based on financial metrics.
The stacked lion valuation mini-computer is a device used to gauge the worth of a new business in light of its monetary and functional exhibition. The expression "stacked lion" alludes to a startup that has raised huge measures of subsidizing and is supposed to fill quickly from here on out. The number cruncher considers a few variables, including the organization's income, development rate, net revenue, and industry valuation products, to decide an expected endeavor esteem (EV) and value esteem (EV short obligation). The adding machine may likewise calculate the organization's subsidizing history, supervisory crew, and serious scene. This valuation can be utilized by startup pioneers, financial backers, and different partners to decide the organization's worth and arrange speculation bargains. While the stacked lion valuation mini-computer can give a helpful gauge, it is critical to remember that startup valuations are innately dubious and may vacillate in light of changing economic situations and different variables.
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Which algebraic representation matches the rotation above?
A.
(x, y) (-y, x)
B.
(x, y) (x, -y)
C.
(x, y) (-x, y)
D.
(x, y) (y, -x)
Answer:
A!
Step-by-step explanation:
what is the perimeter of square abcd? units units 28 units 37 units
The perimeter of square ABCD is 28 units.
The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.
The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.
A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.
If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.
Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.
In conclusion, the perimeter of square ABCD is 28 units.
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18. Rachel paid $46 in tax for the money she earned
as a camp counselor. How much money did
Rachel earn?
Helpp!
Answer:
$1022.22Step-by-step explanation:
The tax is 4.5%Amount of tax paid is $46Total amount of money earned is x.
4.5% of x = $46x*4.5/100 = 46x * 0.045 = 46x = 46/0.045x = 1022.22Answer:
Solution given
tax = 4.5%
Amount of tax = $46
Let total amount of money earned is x.
we have
4.5% of x = $46
x×4.5/100 = 46
x×0.045 =46
x = 46/0.045
x= 1022.22
So Racheal earn $ 1022.22.
What is the slope between the points (7,4) and (-5, -6)?
a.) 5/6
b.) -5/6
c.)6/5
Answer:
b.) -5/6
Step-by-step explanation:
m = -10/-12 = -5/-6
A tree is broken at a height of 5 meters from the ground and it's top touches the ground existence of 12 m from the base of the tree find the original height of the tree
Answer:
18 m
Step-by-step explanation:
The given situation is equivalent to a right angled triangle as shown in the diagram attached.
AB is the height at which tree was cut.
And the top touches the ground at a point C.
So,
AB = 5 m and
AC = 12 m
Here, we have to find original height of the tree.
Original height of Tree = AB + BC OR AB + BC' (Because B is the point in height AC' of tree)
Let us consider the \(\triangle ABC\).
As per pythagorean theorem:
\(\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow BC^{2} = AB^{2} + AC^{2}\\\Rightarrow BC ^2=5^2+12^2\\\Rightarrow BC = \sqrt{169}\\\Rightarrow BC = 13\ m\)
Therefore the answer is :
Height of tree = 5+13 = 18 m
PLEASE HURRY I NEED HELP I DONT KNOW HOW TO DO THIS
Therefore , the solution of the given problem of function comes out to be f(x) = 3 at x =- 2 and f(x) = -5 at x = 12
What does the term function refer to?The study of numbers, their variations, mathematics and the regional tissue, structures, and both their actual and imagined locations, is known as mathematics. A function is a mathematical representation of the relationship between a set of inputs, each of which has an associated output. A function is a group of inputs that, when combined, result in a single variable, recognized output for each input.
Here,
Given :
f(x) = 8 at x = -6
To find the f(x) = -5 at what value of x
and f(x) = 3 at what value of x
So,
From the given y table of f(x) we can observe that
=> f(x) = -5 at x = 12
and
=> f(x) = 3 at x =- 2.
Therefore , the solution of the given problem of function comes out to be f(x) = 3 at x =- 2 and f(x) = -5 at x = 12.
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Required information [The following information applies to the questions displayed below.] Marathon Incorporated (a C corporation) reported $2,200,000 of taxable income in the current year. During the year, it distributed $220,000 as dividends to its shareholders as follows: - $11,000 to Guy, a 5 percent individual shareholder. - $33,000 to Little Rock Corporation, a 15 percent shareholder (C corporation). - $176,000 to other shareholders. (Leave no answer blank. Enter zero if applicable.) a. How much of the dividend payment did Marathon deduct in determining its taxable income? b. Assuming Guy's marginal ordinary tax rate is 37 percent, how much tax will he pay on the $11,000 dividend he received from Marathon Incorporated (including the net investment income tax)? c. What amount of tax will Little Rock Corporation pay on the $33,000 dividend it received from Marathon Incorporated (50 percent dividends-received deduction)? (Round your final answers to the nearest whole dollar amounts.)
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. b) Guy will pay $4,070 in tax on the $11,000 dividend he received. c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated.
a) Marathon Incorporated can deduct $0 of the dividend payment in determining its taxable income. This is because the dividends distributed to shareholders are not deductible expenses for the corporation. Dividends are paid out of after-tax profits and are not considered a deductible expense for the distributing corporation.
b) Guy will pay $4,070 in tax on the $11,000 dividend he received from Marathon Incorporated, including the net investment income tax. To calculate the tax, we need to consider Guy's marginal ordinary tax rate and the net investment income tax. Assuming Guy's marginal ordinary tax rate is 37 percent, the tax on the dividend would be $4,070 (0.37 * $11,000). The net investment income tax is an additional 3.8 percent tax on investment income for individuals with certain income thresholds, so it would also apply to the dividend income received by Guy.
c) Little Rock Corporation will pay $0 in tax on the $33,000 dividend it received from Marathon Incorporated. This is because C corporations are eligible for a 50 percent dividends-received deduction. The dividends-received deduction allows corporations to exclude 50 percent of the dividends received from taxable income. In this case, Little Rock Corporation would be able to exclude $16,500 (50 percent of $33,000) from its taxable income, resulting in a tax liability of $0 on the dividend income.
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How do you calculate SAM and SOM?
To calculate SAM and SOM, you need to follow the following steps:
1. SAM (Simple Arithmetic Mean): SAM is calculated by adding up all the values in a set of data and then dividing that sum by the number of values in the dataset.
Formula: SAM = (x1 + x2 + ... + xn)/n
Where x1, x2, ..., xn are the values in the dataset and n is the number of values in the dataset.
Example: If you have a dataset with the values 2, 4, 6, 8, 10, then the SAM would be (2+4+6+8+10)/5 = 30/5 = 6
2. SOM (Simple Geometric Mean): SOM is calculated by multiplying all the values in a set of data and then taking the nth root of that product, where n is the number of values in the dataset.
Formula: SOM = (x1 * x2 * ... * xn)^(1/n)
Where x1, x2, ..., xn are the values in the dataset and n is the number of values in the dataset.
Example: If you have a dataset with the values 2, 4, 6, 8, 10, then the SOM would be (2*4*6*8*10)^(1/5) = 3840^(1/5) = 5.16
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Which quadrilateral makes this statement true?
Quadrilateral ABCD :
Answer:
try B
Step-by-step explanation:
Answer:
It's A
Step-by-step explanation:
What type of function describes g(x)
Exponential
Logarithmic
Polynomial
Rational
The function represented by the table is polynomial function
How to determine the type of function?From the graph, we have the following highlights:
As the value of x changesSome values of y changes, while other values remain the sameThe function that has the above property is a polynomial function
Hence, the function represented by the table is polynomial function
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Please answer in an hour! You will get a thumbs up.
Question 1 (a)
Assume you purchase a new tractor on Jan 1, 2022 for a cost of $200,000. You estimate you will be able to use the tractor for 10 years, and it will have a salvage value of 10% of the original by the end of its useful life. Determine the book value at the end of the first year (December 31, 2022) using straight-line depreciation.
options:
$18,000
$180,000
$185,000
$182,000
Question 1 (b)
A balance sheet (using current and noncurrent assets and liabilities- no intermediate) shows that a farmer has current assets of $80,000 and owner equity of $100,000. Her current ratio is 2 and her debt/equity ratio is 1.0. Determine the farmer's noncurrent liabilities.
Question 1 (b) options:
$40,000
$60,000
$100,000
unable to determine
Question 1a
To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:
Annual Depreciation = (Cost - Salvage Value) / Useful Life
Substituting the given values, we get:
Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year
This means that the tractor will depreciate by $18,000 each year for the next 10 years.
To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:
Depreciation Expense for Year 1 = $18,000
Therefore, the book value of the tractor at the end of the first year will be:
Book Value = Cost - Depreciation Expense for Year 1
= $200,000 - $18,000
= $182,000
So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D
Question 1(b)
To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:
Calculate the total current liabilities using the current ratio:
Current Ratio = Current Assets / Current Liabilities
2 = $80,000 / Current Liabilities
Current Liabilities = $80,000 / 2
Current Liabilities = $40,000
Calculate the total liabilities using the debt/equity ratio:
Debt/Equity Ratio = Total Liabilities / Owner Equity
1.0 = Total Liabilities / $100,000
Total Liabilities = $100,000 * 1.0
Total Liabilities = $100,000
Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:
Noncurrent Liabilities = Total Liabilities - Current Liabilities
Noncurrent Liabilities = $100,000 - $40,000
Noncurrent Liabilities = $60,000
Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.
The figure shows a trapezium ABCD where AB=35.5cm, BC= 18cm, CD- 20 cm and AD= 16 cm. If CE= 15 cm, find
(a) the area,
(b) the perimeter,
of the trapezium
a) The area οf the trapezium is apprοximately 792.37 cm²
b) There is nο real value οf DE that satisfies the equatiοn, and we cannοt find the perimeter οf the trapezium.
What is area and perimeter?Trapezium area equals 12 x (a + b) x h. Trapezium perimeter = a + b + c + d. where the lengths οf a trapezium's sides are a, b, c, and d. Mοreοver, h is the separatiοn between a and b, the twο parallel sides.
(a) To find the area of a trapezium, we use the formula:
A = (a + b)h/2
The perpendicular distance between them is the height of the trapezium, which we can find by using the Pythagorean theorem on the right triangle ADE:
\(AD^2 + DE^2 = AE^2\\\\16^2 + 15^2 = AE^2\\\\AE =\sqrt{(256 + 225)}\\\\ = \sqrt{(481)}\\\\ = 21.93 cm\)
Sο, the height οf the trapezium is h = AE = sqrt(481) ≈ 21.93 cm.
Nοw we can plug in the values fοr a, b, and h in the fοrmula fοr the area:
A = (35.5 + 20) * 21.93 / 2
= 792.365
≈ 792.37 cm²
Therefοre, the area οf the trapezium is apprοximately 792.37 cm².
(b) Tο find the perimeter οf the trapezium, we simply add up the lengths οf all the sides:
Perimeter = AB + BC + CD + AD + CE + DE
Substituting the given values, we get:
Perimeter = 35.5 + 18 + 20 + 16 + 15 + DE
\(CD^2 + DE^2 = CE^2\\\\20^2 + DE^2 = 15^2\\\\DE^2 = 225 - 400 = -175\)
Therefore, there is no real value of DE that satisfies the equation, and we cannot find the perimeter of the trapezium.
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Which of these triangles are translations of Triangle A?
Select all that apply.
А
E
D
B
F
С
please help
Answer:
B and D
Step-by-step explanation:
A translation of a triangle is moving it up down or side to-side on the axis, not changing the shape flipping it or the orientation,so the translations of a would be B and D!
Hoped this helped, have a good one!
Answer:
B, D
Step-by-step explanation:
there is like 2 more coming
Answer:
28cm
Step-by-step explanation:
To calculate the area of this shape, we need to seperate it into two shapes.
We see that the length of the top shape is 2 CM. Since the top shape is a square, we know it is a 2x2 shape (because two of the other sides are 2cm.) The area of the top shape, the square, can be found by performing the formula for calculating area (length x width). 2 x 2 = 4 (duh, haha). Now, we need to find the area of the bottom shape. Since we're separating them into two shapes, we need to subtract the length of the first shape and this one. 4 x 6 (the area formula) will give us 24. Now, we need to add our two shapes to get the area of the entire shape. 24 cm + 4 cm = 28 cm.
Suppose we estimate the following regression: yt = β1 + β2x2t +
β3x3t + ut. Suppose the variance of ut is related to a known
variable zt as follows: Var(ut) = σ^2(zt). How would you transform
the
To transform the regression equation, you would divide both sides of the equation by the square root of Var(ut), which is σ√(zt). This transformation helps in obtaining the transformed regression coefficients and standard errors that account for the heteroscedasticity in the error term.
When the variance of the error term (ut) is related to a known variable (zt), it implies the presence of heteroscedasticity in the regression model. Heteroscedasticity means that the variability of the error term is not constant across different levels of the independent variables.
To address this issue, we can transform the regression equation by dividing both sides by the square root of the variance of the error term, which is σ√(zt). This transformation is known as the weighted least squares (WLS) estimation.
By dividing both sides of the equation, we can obtain the transformed regression equation with the error term divided by its standard deviation. This transformation accounts for the heteroscedasticity by giving different weights to the observations based on the variability of the error term. It allows for a more appropriate estimation of the regression coefficients and standard errors, as it gives more weight to observations with smaller error variances and less weight to observations with larger error variances.
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Jane went to a book store and bought 2 books. The price of the second book was 10 less than 3 times the price of the first book. she spent 110 on both books. How much was the cost of the first book
The cost of the first book was $30.
For some fixed factor prices, the cost function calculates the lowest cost of generating a specified level of output.
Let's assume the price of the first book is "x" dollars.
According to the given information:
The price of the second book is 3x - 10 dollars.
An amount, especially the whole of an item or objects in terms of their size, worth, or scope.
The total amount spent on both books is $110:
x + (3x - 10) = 110
Simplifying the equation:
4x - 10 = 110
4x = 120
x = 30
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ou are conducting an experiment to determine which brand of fertilizer results in the greatest amount of fruit production by tomato plants. In this example, the dependent variable would be the
In this experiment, the dependent variable would be the amount of fruit production by tomato plants.
The dependent variable is the variable that is measured or observed in an experiment. It is the outcome or response that is influenced by the independent variable, which is the variable that is manipulated or controlled by the researcher. In this case, the independent variable would be the brand of fertilizer.
By testing different brands of fertilizer and measuring the resulting fruit production, the researcher can determine the impact of each brand on the tomato plants' yield. The dependent variable, which is the amount of fruit production, will vary based on the different levels or variations of the independent variable (i.e., different brands of fertilizer).
By analyzing the data collected on fruit production for each brand of fertilizer, the researcher can identify which brand yields the greatest amount of fruit. This information can be used to make informed decisions on the most effective fertilizer brand for maximizing tomato plant productivity.
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Suppose the ratio of girls to boys in your school is 19:17. There are 1908 students altogether. Write and solve a system of equations to find the total number of boys and girls in the school.
Answer:
901 boys and 1007 girls
Step-by-step explanation:
let b be the number of boys
let g be the number of girls
\(b + g = 1908\\17g = 19b\\g = \frac{19}{17} b\\b+\frac{19}{17} b = 1908\\2\frac{2}{17}b = 1908\\b = 901\\901 + g = 1908\\g = 1007\)
someone please help me with this math problem! thanks :)
ANSWER:
v = 2.22
Step-by-step explanation:
0.6v + 0.4(0.3 + v) = 2.34
0.6v + 0.12 + 0.4v = 2.34
1v + 0.12 = 2.34
v = 2.22
Look at the image below. Identify the coordinates for point X, so that the ratio of AX : XB = 5 : 4
The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).
How to determine the coordinates of point X?In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.
In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:
M(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
By substituting the given parameters into the formula for line ratio, we have;
M(x, y) = [(5(2) + 4(-6))/(5 + 4)], [(5(-11) + 4(-2))/(5 + 4)]
M(x, y) = [(10 - 24)/(9)], [(-55 - 8)/9]
M(x, y) = [-14/9], [(-63)/9]
M(x, y) = (-1.6, -7)
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Can someone please help me? I need help
BTW this is algebra 2
Answer:
Step-by-step explanation:
1. is .4444444 or 4/9
All you do for this is enter -2 as x for 4(3)^x
2. is x^24 or answer (4)
this is because you will multiply the exponents starting with -4 till you get 24.
-4 x -1 = 4
4 x 6 = 24
3. sorry I have to go for this one, plug in any number into x and experiment with the 4 answers till one of them gives you the same solution
HELP HELP ME PLEASE QUICK I NEED IT NOW!!! HELP URGENT!!
The nth term of a sequence is 3n^2/2
A) Find the second term of the sequence
B) find the fifth term of the sequence
C) Which term in the sequence is the 1st to have a value higher than 50?
PLEASE HELP ME! TY!
Answer:
Step-by-step explanation:
A is 6
B is 37.5
C is 6
Maria bought seven t-shirts after the first week of school. Two weeks later, half of all of her shirts shrank in the dryer. Now she only has 13 t-shirts left. How many T-shirts did she have before the first day of school?
Answer:
19
Step-by-step explanation:
13 x 2,
26-7 = 19
You have 13 now you would just multiple by 2 then subtract 7 because she bought them after the first week
Answer:
19 shirts
Step-by-step explanation:
13/.5=26
26-7=19
PLEASE HELP QUICK
A system of equations is graphed on a coordinate plane.
Which coordinates are the best estimate of the solution to the system of equations?
A. (−1, 0)
B. (−1, −1)
C. (1, 0)
D. (1, −1)
Answer: The solution of this system of equations is the point of cut of these line.
Point of cut is when x is close to -1, and y is close to 0; therefore the best estimate of the solution would be:
A) (-1,0)
We can check it out our answer solving the system of equations:
-3x+y=2
-4x+7y=1
We solve this system by substitution method.
-3x+y=2 ⇒ y=2+3x
-4x+7(2+3x)=1
-4x+14+21x=1
-4x+21x=1-14
17x=-13
x=-13/17=-0.764....≈-1
y=2+3x
y=2+3(-0.764)
y=2-2.292
y=-0.292≈0
The approximate solution will be (-1,0)
(x+1)²+ (x-8)² = 0
in standard form and its roots
Step-by-step explanation:
what do you mean ? what needs to be done ?
solve the equation for x ?
(x+1)² + (x-8)² = 0
x² + 2x + 1 + x² -16x + 64 = 0
2x² - 14x + 65 = 0
the formula to solve such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
a = 2
b = -14
c = 65
x = (14 ± sqrt(196 - 520))/4 = (14 ± sqrt(-324))/4 =
= (14 ± 18i)/4 = (7 ± 9i)/2
remember that the is no real solution to a square root of a negative number. sqrt(-1) is called I. and all numbers that are combinations with I are called complex numbers.
x1 = (7 + 9i)/2
x2 = (7 - 9i)/2
you are given a stock solution of glycine with concentration of 10 mg/ml. how many µl of this stock should you take to make a 1.5 mg/ml solution if the total volume of your solution will be 5 ml?
To make a 1.5 mg/ml solution from a 10 mg/ml stock solution, 750 µl of the stock must be taken.
To create a 1.5 mg/ml solution from a 10 mg/ml stock solution, we need to use the formula C1V1=C2V2. C1, the concentration of the stock solution, is 10 mg/ml. V1 is the volume of the stock solution, and C2 is the desired concentration, 1.5 mg/ml. V2 is the final volume, 5 ml. We can solve for V1 by rearranging the equation to V1 = (C2V2)/C1. Therefore, V1 = (1.5 x 5)/10 = 0.75 ml = 750 µl. We need to take 750 µl of the 10 mg/ml stock solution to make a 1.5 mg/ml solution with a total volume of 5 ml. To make a 1.5 mg/ml solution from a 10 mg/ml stock solution, 750 µl of the stock must be taken.
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Jill wants to a buy sweater for her husband. If the sweater costs $250 and has a sales tax rate of 7%. What will be the FINAL PRICE of the sweater?
with work out
Answer:
267.50
Step-by-step explanation:
expensive sweater
Answer:
I will go with 35.71 for the final price
Step-by-step explanation:
the cost is $250 and the tax is 7%, I don't know how to explain
Construct a 60angle
NEEDED ASAP LIKE IN 5 MINUTES OR LESS
Answer:
but how there is nothing i dk plz can you explain me what the question actually is?
Eliza writes a number
- the number is between 20 and 30
-it has exactly 4 factors
-one of the factors is 7
what is Eliza’s number?
Answer:
the answer is 21
Step-by-step explanation:
if one of the factors is 7 and it's between 20 and 30
then it can be 21 or 28
7×3=21 and 7×4=28
now the factors of 21: 1, 3, 7, 21 (4 factors)
the factors of 28: 1, 2, 4, 7, 14, 28 (6 factors)
therfore 21 is the correct answer