Therefore exact coordinates of Centroid = (0,3/2)
Define Centroid.The centroid of a flat figure or solid figure, also known as the geometric center or center of figure, in mathematics and physics, is the arithmetic mean position of all the points on the figure's surface. Any n-dimensional Euclidean object is included by the same definition.
What is Triangle?A polygon having three edges and three vertices is called a triangle. It is one of the fundamental geometric forms. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
This region is a parabola opening downward, with vertex at (0, 49) and a range of y values from 0 to 49. The region is symmetric about the y-axis, This means that the x-coordinate of the centroid is at 0.
To find the y-coordinate:
Integral from -√(49) to √(49) of (49-x²) x dx = [x²(49-x²)/3] from -√(49) to √(49) = (492√(49))/3 = (98√(49))/3
The area is integral from -√(49) to √(49) of (49-x²) dx = [x(49-x²)/2] from -√(49) to √(49) = (49*(2√(49)) - (2/3)(49^(3/2)))/2 = (49*(2*√(49)) - (98√(49))/3)/2
Therefore Centroid = (0, (98√(49))/(49*(2*√(49)) - (98√(49))/3)) = (0,3/2)
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Find the values at the 30th and 90th percentile for each data set
6283, 5700, 6381, 6274, 5700, 5896, 5972, 6075, 5993, 5581.
Please help I don’t understand this.
Answer:
The 0
Step-by-step explanation:
the answer is 10bshsjwjjwjs
Your company is considering a new project that will require $250,000 of new equipment at the start of the project. The equipment will have a depreciable life of eight years and will be depreciated to a book value of $10,000 using straight-line depreciation. The cost of capital is 12 percent, and the firm's tax rate is 21 percent. Estimate the present value of the tax benefits from depreciation.
The present value of the tax benefits from depreciation which is a non cash expenditure under capital budgeting decisions is $10432.80
What is Depreciation?According to the prudence concept of accounting convention, Depreciation is a non cash expenditure that has been charged against the profit. Depreciation is value that amortized over useful life of tangible fixed asset. The absolute decline in the value of asset due to obsolesce, usage of asset, wear & tear of fixed asset is referred as depreciation.
As per accounting standard on property, plant & equipment depreciation can be computed by straight line method and written down value method.
While analyzing the capital budgeting decision from the equipment to be acquired the cash inflows and outflows during the currency of the project shall be accounted for.
The tax benefit from depreciation expenses will be consider as cash inflow. The same shall be calculated by the present value annuity factor for the as follows:
cost of capital = 12 %
Depreciation = $10000
Life of the project = 8 years
Tax rate = 21%
Present value annuity factor (PVAF) at 12% for 8 years will be:
0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404
Grand total of the (PVAF) at 12% = 4.968
Now multiply the PVAF with depreciation amount
Present Value of Depreciation = 4.968 × 10000 = $49,680
Tax benefit from depreciation = $49,680 × 21% = $10432.8
Thus the tax Tax benefit from depreciation is $10432.80
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The price of a house was #2.3, 400,006 in 201 At the end of each year, the price was increases by 6% find the price of the house after 3 years Find the price of the house after 5 years
After 3 years, the price of the house would be $2,494,822.48. After 5 years, the price of the house would be $2,830,530.94.
What is price?Price is the value of a product or service that an individual or business is willing to accept in exchange for a good or service. It is typically determined by the market forces of supply and demand. Prices are usually expressed in monetary terms, but can also be expressed in terms of labor time or other resources. Prices can vary widely depending on the availability of a good or service, the amount of competition, and other factors.
To calculate the price of the house after 3 years, the formula is P x (1 + r)^t. P is the initial price of the house, which is $2,300,006. R is the rate of increase each year, which is 6%. T is the number of years, which is 3. Therefore, the price of the house after 3 years is P x (1 + 0.06)^3, which equals to $2,494,822.48.
To calculate the price of the house after 5 years, the formula is P x (1 + r)^t. P is the initial price of the house, which is $2,300,006. R is the rate of increase each year, which is 6%. T is the number of years, which is 5. Therefore, the price of the house after 5 years is P x (1 + 0.06)^5, which equals to $2,830,530.94.
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Help
Translate the following statement into an equation and solve: four times a number plus 5 is equal to 29.
Find the sum of the interior angles…. Please help me ASAP. No bots
What is 21/cos66 round answer to the 2nd place.
Assignment due soon please help me.
Answer:
-20.99
Step-by-step explanation:
What number is equivalent to
3 to the 2nd power + 6 – (14 – 5 × 2) ÷ 4
A
234
B
1012
C
14
D
15
You cut a loaf of plantain bread into 20 equal slices . you and friends eat 3/10 of the bread . you want to put each leftover slice into its own bag. How many bags do you need
Answer:
14 bags.
Step-by-step explanation:
20 equal slices, so 20/20.
You eat 3/10 of it. 3/10 is equivalent to 6/20.
20/20 - 6/20 is 14/20.
You need 14 bags.
Which expression is equivalent to 3/2?
On solving the provided question we can say that expression which is equivalent form to 3/2 is (5/2-1).
What is Equivalent form ?Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Equivalent systems refer to sets of equations with the same solution. We can create an analogous system from a system of two equations by replacing one equation with the total of the two equations or by replacing an equation with a multiple of itself.
When two expressions can be reduced to a single third expression or when one of the expressions can be expressed in the same way as the other, they are said to be equivalent. When values are replaced for the variable and both expressions yield the same result, you may also tell if two expressions are equal.
The number is 3/2
The expression which is equivalent to 3/2 is (5/2-1)
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Last year, Chau had $10,000 to invest. He invested some of it in an account that paid
5% simple interest per year, and he invested the rest in an account that paid 8%
simple interest per year. After one year, he received a total of $590
in interest. How much did he invest in each account?
First Account=
Second Account =
Answer:
Account with 8% interest per year: $3000
Account with 5% interest per year: $7000
8% of 3000 = 240
5% of 7000 = 350
240+ 350 = 590
Elaina bought 4.6 pounds of sliced ham at a price of $6.15 per pound. How much did she spend in total? quick
Answer:
$28.29
Step-by-step explanation:
1 pound: $6.15
4.6 pounds: 6.15 x 4.6 = $28.29
Jim purchased x iced teas and y soft pretzels at a cricket game. He spent a
total of $32. The equation below describes the relationship between the
number of iced teas and the number of soft pretzels purchased.
3x+2y=32
The ordered pair (4, 10) is a solution of the equation. What does the solution
(4, 10) represent?
HELPPPP
The solution that (4, 10) represents is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game.
How to solve linear equation word problems?The equation that describes the relationship between the
number of iced teas and the number of soft pretzels purchased is;
3x + 2y = 32
Where;
x represents the iced teas.
y represents soft pretzels at a cricket game
Now, we are told that the ordered pair (4, 10) is a solution of the equation. This means that;
x = 4 and y = 10 is a solution.
What it means is that Jim purchased 4 iced teas and 10 soft pretzels at a cricket game
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Compare the functions below
G(x)
f(x) = −6x − 3 cosine function with y intercept at 0, negative 3 h(x) = 2 cos(x + π) − 1
Using complete sentences, explain which function has the greatest y-intercept.
please answer step by step
Answer:
f(x)=-6x-3 has a greater y intercept
Step-by-step explanation:
Maria Brought 3 cakes of the same size for her birthday. half of one cake was left and one-third of qther. how much cake was left over altogether?
Answer:
7/12 (seven over twelve)
Step-by-step explanation:
1/3 -1/4 =4/12- 3/12=1/12
1/2+1/12=6/12+1/12=7/12
so the answer is 7/12
hopefully this helps
b) The completed construction of a regular hexagon is shown below. Explain why ACF is a 30º-60º-90º triangle. (10 points)
[tex] \div 7841562130. = 98[/tex]
Answer:
123459c
Step-by-step explanation:
round
For the equation f(x)=1.9(0.41)*, state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
C=(Type an integer or a decimal.)
Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
Given that,
The equation f(x)=1.9(0.41)ˣ.
We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
We know that,
What is growth and decay?In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.
In the case of growth, f(x) = a(1+r[tex])^{x-h}[/tex]+k, where b = 1+r
Decay is defined as f(x)=a(1-r)(x-h[tex])^{x-h}[/tex]+k, where b=1-r.
Consider the function f(x)=1.9(0.41)ˣ.
We write as
f(x)=1.9(1-0.59)ˣ
So, initial value C is 1.9
Decay factor =0.41
Growth factor = 0.59
Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
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LINKS WILL GET REPORTED NEED HELP PLS
Answer:
Median
Step-by-step explanation:
You want to use median because it is the most accurate when there is an outlier in the data (the 40 on the test)
The probability of a spinner landing on red is 0.15. The probability of the same spinner landing on blue is 0.45.
Which statements describes the likelihood of these events?
If you cannot see, zoom in!
Do not answer if you don’t know the answer, whoever knows the answer will get Brainliest! :)
The Probability of landing spinner on Blue is more likely than Red.
What is the Probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen.
Here, the probability of a spinner landing on red is 0.15 or 15%
The probability of the same spinner landing on blue is 0.45 or 45%
On comapring both the probabilities we can say that,
probability of a spinner landing on red < probability of spinner landing on blue
15 % < 45 %
Thus, the Probability of landing spinner on Blue is more likely than Red.
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In ΔKLM, the measure of ∠M=90°, the measure of ∠K=25°, and MK = 15 feet. Find the length of KL to the nearest tenth of a foot.
Answer:
16.6
Step-by-step explanation:
some1 hurry up plzzz need help
Answer:
IM pretty sure b) and c)
Step-by-step explanation:
In a study on the healing process of a cut, researchers observed the time required to completely heal the cut. Ten rats were randomly divided into two groups of five. No treatment was done to one group and a medical treatment was given to the other group. The time spent (in hours) to completely heal the cut for each rat is given below. Control: 23, 27, 30, 26, 31Treatment: 21, 22, 18, 24, 30 Test if the mean duration of healing can be reduced by the medical treatment What is the value of the test statistic (round off to second decimal place)
Answer:
0.44
Step-by-step explanation:
Given the data:
Control: 23, 27, 30, 26, 31
Treatment: 21, 22, 18, 24, 30
The mean and variance using calculator :
Control :
Mean, x1 = 27.4
Variance, s1 = 10.3
n1 = 5
Treatment :
x2 = 23
s² = 20
H0 : μ1 = μ2
H0 : μ1 > μ2
The test statistic :
(x1 - x2) / √(s1²/n1) + (s2²/n2)
(27.4 - 23) / √(10.3²/5) + (20²/5)
4.4 / 10.060715
Test statistic = 0.437
Test statistic = 0.44
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
10m
Step-by-step explanation:
It should be 10m because the way to calculate are of a rectangle is length times width equals area (lw=area), and 12 times 10 is 120.
Answer and Step-by-step explanation:
Since this is a rectangle, we know to find the area we would do length times width.
TO find the width, we need to divide the area by the length.
120 divided by 12 equals 10m.
10 = ?
#teamtrees #PAW (Plant And Water)
Goran wants to build a square picture frame with sides that are
5.25 inches long. Natalie wants to build a square sandbox and needs
11 times the amount of wood that Goran needs to build his frame.
They have 4 pieces of wood that are each 65.5 inches long. How much
wood will they have left over after making the frame and sandbox?
The wood left over after making the frame and the sandbox is 10 inches.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
The total amount of wood.
= 4 x 65.5
= 262 inches.
Frame:
Side = 5.25 inches
The perimeter of the frame.
= 4 x 5.25
= 21 inches
Now,
Sandbox:
The wood used for the sandbox.
= 11 x 21
= 231 inches
The remaining wood.
= 262 - (21 + 231)
= 262 - 252
= 10 inches
Thus,
The remaining wood is 10 inches.
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The product of four less than thrice a number and two will result to
Forty-six.
Answer:
nnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnnn
Step-by-step explanation:
sssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
please help will give brainliest. Links will be banned
Answer:
400 m^2Step-by-step explanation:
Area = 30 x 15 - 10 x 5
Area = 450 - 50
Area = 400 m^2
Hope that helps! :)
-Aphrodite
Answer:
400 m^2
Step-by-step explanation:
the figure is composed by a square and a rectangle
Area of the square = side^2 = 10^2 = 100 m^2
area of the rectangle = base x height = 20 x 15 = 300 m^2
total area = 300 + 100 = 400m^2
find the area if each shaded sector.
plz help im confusedddddddd
Answer:
634.2 m²
Step-by-step explanation:
Given:
Angle given = 37°
Radius (r) = 15 m
Required:
Area of the shaded sector
Solution:
Area of the shaded sector = θ/360 * πr²
θ = 360 - 37 = 323°
r = 15 m
Plug in the values
Area of the shaded sector = 323/360 * π * 15²
= 634.209017
≈ 634.2 m² (nearest tenth)
Solve for y. answer to the nearest tenth & solve for x. NEED HELP WITH BOTH THESE QUESTIONS !!
Answers:
5. x = 1
6. y = 11.5
Step-by-step explanation:
For question 5, you can use power of a point which describes the relationship of two secants intersecting inside a circle. You get the formula:
AC * CD = BC * CE
You can substitute the values you are given to get:
2 * 4 = x * 8
This gives you x = 1
For question 6, you can use another formula in power of a point that describes two secants intersecting in the exterior of a circle. You get the formula:
GH * GJ = GI * GK
Using segment addition postulate, you get:
GJ = GH + HJ = 5 + 16 = 21
GK = GI + IK = 6 + y --> y + 6
Now, substitute into the equation from power of a point:
5 * 21 = 6 * (y + 6)
105 = 6 * (y + 6)
17.5 = y + 6
y = 11.5
Lily loves 2.5 miles farther from school than Dante Dante lives 16.25 miles from school how many miles from school does Lily live
Answer:
18.75
Step-by-step explanation:
Just add 2.5 and 16.25 :)
Answer:
Lily must live 18.75 miles away
Step-by-step explanation:
If Lily lives 2.5 miles further from school than Dante then the equation is
16.25+2.5 = x
Add them together and you get 18.75
I need help with this!