A rectangle is 1/2 feet long and 3/4 feet wide.
What is the area of the rectangle?
Enter your answer as a fraction in simplest form
Answer: 3/8
Step-by-step explanation: All you do is 1/2 times 3/4. Numerator times numerator. The Denominator times denominator.
Numerators first- 1x3Denominators second 2x4A single filer had a taxable income of $90,725. Base on table, what is is the tax?
The amount that the taxpayer is owing in taxes is $2,691.05.
We have,
Income tax payable refers to a business organization's tax liability to the government in the jurisdiction in which it operates. The amount of liability will be determined by the company's profitability over a given time period and the applicable tax rates. Tax payable is considered a current liability rather than a long-term liability because it must be settled within the next 12 months.
Based on the table, we are using the tax rate of 15% for the taxable income of $11,757.
The tax payable will equals to:
= 15%*$11,757 + $927.50
= $1,763.55 + $927.50
= $2,691.05
Hence, The amount that the taxpayer is owing in taxes is $2,691.05.
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complete question:
Based on this table, if someone had a taxable income of $11,757, how much would they owe in taxes?
Ali, Basti and Cian stand at three points A, B and C respectively. Suppose that the measure of angle ABC is 50 degrees , the measure of angle BAC is 60 degrees and Ali is exactly 150 ft away from Basti. Find the distance between Basti and Cian.
The distance between Basti and Cian is approximately 138.2 ft. Option D
To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.
Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.
Given:
Angle ABC = 50 degrees (angle opposite side AC)
Angle BAC = 60 degrees (angle opposite side BC)
Ali is 150 ft away from Basti (side AB)
We want to find the distance between Basti and Cian, which is side BC.
Using the Law of Sines, we have:
BC/sin(50) = AB/sin(60)
Substituting the known values:
BC/sin(50) = 150/sin(60)
To find BC, we can rearrange the equation:
BC = (150/sin(60)) * sin(50)
Using a calculator to evaluate the expression:
BC ≈ 138.2 ft
Option D is correct.
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The distance from Earth to the moon is 2.4 × 105 miles. The distance from Earth to the sun is 9.3 × 107 miles. Complete the sentence by typing numbers in the boxes. The distance from Earth to the sun is × 10 miles greater than the distance from Earth to the moon. plz help fast
Answer:
\(Distance = 9.276 * 10^7\) miles
Step-by-step explanation:
Given
\(Earth\ to\ Moon = 2.4 * 10^5 miles\)
\(Earth\ to\ Sun = 9.3 * 10^7 miles\)
Required
Difference in the distance of earth to sun to the distance of earth to moon
This can be solved using:
\(Distance = Earth\ to\ Sun - Earth\ to\ Moon\)
\(Distance = 9.3 * 10^7 - 2.4 * 10^5\)
Express 10⁷ as 10⁵ * 10²
\(Distance = 9.3 * 10^5 * 10^2 - 2.4 * 10^5\)
Factorize:
\(Distance = 10^5(9.3 * 10^2 - 2.4)\)
Solve the expression in the bracket
\(Distance = 10^5(9.3 * 100 - 2.4)\)
\(Distance = 10^5(930 - 2.4)\)
\(Distance = 10^5(927.6)\)
\(Distance = 927.6 * 10^5\)
Expand 927.6
\(Distance = 9.276 * 10^2 * 10^5\)
\(Distance = 9.276 * 10^{2+5}\)
\(Distance = 9.276 * 10^7\)
Answer:
387.5
Step-by-step explanation:
took quizz
Is 170 1/10 of 17? True or false?
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Brittany and Winston each opened a savings account on the same day. Brittany started by putting $209 in her account, and she will deposit an additional $176 each week. Winston made an initial deposit of $699, and he will add $127 more each week. Eventually, Brittany and Winston will each have the same amount saved. How many weeks will that take? What is that amount?
Given that Brittany started by putting $209 in her account, she will deposit an additional $176 each week.
Winston made an initial deposit of $699, and he will add $127 more each week.
Let x be the number of weeks.
The equation for Brittany is
\(B=209+176x\)The equation for Winston is
\(W=699+127x\)Brittany and Winston will each have the same amount saved.
So we get B=W.
Substitute equations, we get
\(209+176x=699+127x\)Subtracting 209 from both sides, we get
\(209+176x-209=699+127x-209\)\(176x=127x+490\)Subtracting 127x from both sides, we get
\(176x-127x=127x+490-127x\)\(49x=490\)Dividing both sides by 49, we get
\(\frac{49x}{49}=\frac{490}{49}\)\(x=10\)The number of weeks =10 weeks.
\(\text{ Substitute x=10 in 209+176x, we get}\)\(209+176(10)=209+1760=1969\)The amount is $1969.
Hence after 10 weeks, Brittany and Winston each have $1969 in their account.
generally, the___value is more important than the___value of a given statistic since it is more contextual.Select the two resposes below that correctly fill in the blanks.Select all that apply:O nominal; realO real; nominalO unadjusted; inflation-adjustedO inflation-adjusted; unadjusted
The completed statement with regards to the importance of the nominal and real value of a statistic are presented as follows;
Generally, the real value is more important than the nominal value of a given statistic since it is more contextual
What is the nominal value of a statistic?The nominal value of an item is the current or unadjusted price of the item, such that the effect of inflation on the price of the item are not included.
An item's real value, also known as the relative price of the item is obtained by adjusting the nominal value of the item for inflation, such that the value of the item is indicated based on a comparison to another item.
An example comparison of the nominal and real value of an item are presented as follows;
Let $50,000 represent the personal income of a person in the current year, let $53,000 represent the income of the person in the following year, and let the rate the inflation rate be 2.5%, therefore;
The nominal rate of increase or growth of the income is; (53,000 - 50,000)/(50,000) × 100 = 6%
The real growth of the income is therefore 6% - 2.5% = 3.5%
Therefore, for measurements of economic indices such as the Gross Domestic Product, GDP, the real values are more important as the real values form a more accurate indication of the economic parameters.
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Suppose you have a rectangular flower bed whose area is 24ft^2 . The shortest side is (x-4) feet and the longest side is (2x) feet. Find the length of the shortest side.
Answer:
the short side is equal to 2 feet
Step-by-step explanation:
24 = (2x)*(x-4) = 2x² -8x
you'll just use solve on your calculator and get that the x is equal to -2 or 6
which means the short side must be equal to 2
Answer:
2 ftStep-by-step explanation:
Sides are:
x - 4 and 2xThe area is the product of the long and short sides:
2x(x - 4) = 24x(x - 4) = 12x² - 4x = 12x² - 4x + 4 = 16(x - 2)² = 4²x - 2 = 4x = 6The short side is:
x - 4 = 6 - 4 = 2 ft
Solve 12x
x + 16 - 1 = 0
Answer:
xx=-0.8
Step-by-step explanation:
not sure if this is right because the 12xx is kind of strange
12xx+16-1=0
12xx+15=0
12xx=-15
12/12xx=12/-15
xx=-.8
What is the x-intercept for function f?
f(x) = −23x + 8
The x-intercept for function f(x) = −23x + 8 is (8/23, 0)
In this question, we have been given a function f(x) = −23x + 8
We need to find the x-intercept for given function f(x)
Let f(x) = y
So, given function becomes,
y = −23x + 8
To find the x-intercept, set y = 0,
0 = -23x + 8
23x = 8
x = 8/23
Therefore, the x-intercept for function f(x) = −23x + 8 is (8/23, 0)
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please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
7 cameras cost $308. The cost of each camera is the same. What is the cost of each camera?
Answer:
$44
Step-by-step explanation:
Hello!
It said that 7 cameras cost $308, right?
If each camera costs the same, it means that 7 cameras with the same value equal $308.
If we use this in an equation, and if x is a variable we want to solve, it would be:
7x = 308.
If 7x = 308, it would be
308/7 =
44.
So, $44 is the answer.
On average, Nathaniel drinks
4/5 of a 10-ounce glass of water in
2 2/5
hours. How many glasses of water does he drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
Nathaniel drinks 3 glasses of water in one hour.
To find out how many glasses of water Nathaniel drinks in one hour, we need to calculate his drinking rate per hour.
In 2 2/5 hours, Nathaniel drinks 4/5 of a 10-ounce glass of water.
Let's convert the mixed number of hours to an improper fraction:
\(2\frac{2}{5} = \frac{(5 \times2 + 2)}{5}\)
\(=\frac{12}{5}\)
Now, we can set up a proportion to find his drinking rate per hour.
We know that \(\frac{12}{5}\) hours corresponds to \(\frac{4}{5}\) of a glass of water.
Let's assign "x" as the number of glasses he drinks in one hour.
The proportion is then
\(\frac{(\frac{12}{5} hours) }{(x glasses) } =\frac{(\frac{4}{5} glass)}{(1 hour)}\)
Cross-multiplying gives us
\((\frac{12}{5} )\times1=\frac{4}{5}\times(x)\)
Simplifying, we get
\(\frac{12}{5} =\frac{4}{5}\times x\)
Dividing both sides by \(\frac{4}{5}\), we find x:
\(x=\frac{(\frac{12}{5} )}{\frac{4}{5} }\)
\(x=\frac{12}{4}\)
\(x = 3.\)
Therefore, Nathaniel drinks 3 glasses of water in one hour.
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please assist with these questions thanks
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%
How to calculate the percentage total return?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:
i is the nominal interest rate.r is the real interest rate.h is the inflation rate.(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%
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2. el valor absoluto, el valor relativo y el porcentaje en los siguientes datos:
1) Al tomar 3,5 m como longitud de un terreno que mide realmente 3,59 m.
2) Al considerar 60 Calcula m como la distancia entre dos postes que están situados a 59,91 m.
3) En la medida de 1 m se ha cometido un error de 1 mm, y en 300 Km, 300 m. ¿Qué error relativo es mayor?
4) Como medida de un radio de 7 dm hemos obtenido 70.7 cm. Calcula el error absoluto y el relativo.
5) Al medir la distancia entre dos pueblos, sabemos que el valor real es de 5,478 Km.
a) Aproxima la distancia hasta las décimas por redondeo.
b) Calcula el error absoluto cometido en ambos casos.
c) Calcula el error relativo cometido en ambos casos.
d) Justifica, de acuerdo con los resultados anteriores, qué aproximación es mejor
esto es de fisica
àaaaaaaaaaaaass la verdad no se
 Hey guys, I would really appreciate if one of you help me with this question
Answer: 28.25%
Step-by-step explanation:
113/400=0.2825=28.25%
Enter the number that belongs in the green box
The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.
To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:
\(c^2 = a^2 + b^2 - 2ab*cos(C)\)
In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:
\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)
49 = 16 + 25 - 40*cos(C)
49 = 41 - 40*cos(C)
40*cos(C) = 41 - 49
40*cos(C) = -8
cos(C) = -8/40
cos(C) = -0.2
To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:
C = arccos(-0.2)
Using a calculator, we find that C ≈ 101.54 degrees.
Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.
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Thank you to who it is that helps me!
Answer:
B
D
D
Step-by-step explanation:
please verify and rate 5 stars and say thank you
______cos b= 1/2[sin(a+b)+sin(a-b)]. A. cos a B. sin a C. cos b D. sin b
sin(a+b) = sinacosb + cosasinb
sin(a-b) = sinacosb - cosasinb
adding we get sin(a+b) + sin(a-b) = 2sinaccosb
so sinacosb = 1/2sin(a+b) + sin(a-b)
Answer: Sin a
Answer:
sin a
Step-by-step explanation:
A P E X
. If two of the angles in a scalene triangle are 54° and 87°, what is the other angle?
The answer is:
⇨ x = 39°Work/explanation:
Bear in mind that the sum of all the angles in a triangle is 180°.
Given two angles, we can easily find the third one.
Let's call it x.
Next, we set up an equation:
\(\sf{54+87+x=180}\)
\(\sf{141+x=180}\)
Subtract 141 on each side.
\(\sf{x=180-141}\)
\(\sf{x=39}\)
Hence, the other angle is 39°.ALGEBRA please put a very small explanation to the awnser
Certainly! The problem can be solved using the Pythagorean theorem,
which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, the ladder acts as the hypotenuse, and we need to find the length of the vertical side (height) it reaches up the wall.
The ladder forms the hypotenuse, and its length is given as 12 meters. The distance from the foot of the ladder to the base of the wall represents one side of the triangle, which is 4.5 meters.
By substituting the given values into the Pythagorean theorem equation: (12m)^2 = h^2 + (4.5m)^2, we can solve for the unknown height 'h'.
Squaring 12m gives us 144m^2, and squaring 4.5m yields 20.25m^2. By subtracting 20.25m^2 from both sides of the equation, we isolate 'h^2'.
We then take the square root of both sides to find 'h'. The square root of 123.75m^2 is approximately 11.12m.
Therefore, the ladder reaches a height of approximately 11.12 meters up the wall.
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PLEASE HELP ILL MARK BRAINLIEST AND SHOW ALL YOUR WORK
Answer:
5
Step-by-step explanation:
f(-1) = -3(-1)^3 + 2(-1)^2
f(-1) = -3(-1) + 2(1)
f(-1) = 3 + 2
f(-1) = 5
Hope this helps! Pls give brainliest!
Answer:
5
Step-by-step explanation:
plug in -1 for x
so
\( -3 ({ - 1})^{3} + 2 ({ - 1})^{2} \)
went we solve we get
\(3 + 2 \\ = 5\)
so 5 is ur answer
pls give brainlist
if any questions ask
have a great day thanks :)
given a circle with center (-5,3) and radius sqrt 17 what is the slope of the tangent line to the circle that passes through the point (-1,2)
The slope of the tangent line that passes through the point (-1, 2) is 4, and the equation of the line is: y - 2 = 4(x + 1) or y = 4x + 6
To find the slope of the tangent line to a circle, we first need to find the equation of the circle.
Given the center and radius, the equation of a circle can be written as:
(x + 5)^2 + (y - 3)^2 = 17
Next, we find the equation of the line that passes through the point (-1, 2) and is tangent to the circle.
We can use the slope-point form of the equation of a line:
y - 2 = m(x + 1)
where m is the slope of the line.
To find the value of m, we need to find the slope of the line that is tangent to the circle at the point (-1, 2).
The slope of a tangent line to a circle at a point is equal to the derivative of the equation of the circle at that point.
Taking the partial derivatives of x and y in the equation of the circle, we get:
2(x + 5)dx + 2(y - 3)dy = 0
Rearranging and solving for the slope:
dy/dx = -(x + 5)/(y - 3)
Evaluating the slope at the point (-1, 2), we get:
dy/dx = -(−1 + 5)/(2 − 3) = 4
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Please help me on this question! And explain how you got your answer please!
Answer:
she has a total of 140 coins
Step-by-step explanation:
x is coins in total
5/100 times x = 7
0.05 times x = 7
x = 7/0.005
x = 700/5
divide that you get 140
Answer:
Maybe 7.14285714?
Step-by-step explanation:
50% divided by 7?
I'm sorry I just guessed
WILL GIBE BRAINLIEST ASAP
Answer:
A and D have whole grid squares that are the same size and aren't over lapping
C has overlapping grid squares making it hard to count
B can't be used to find area because some of the grid squares are different sizes
You still could use B because four of the smaller squares seems to be equivalent to one of the larger squares
Step-by-step explanation:
Answer:
the guy up there is right
Step-by-step explanation:
Convert0.9285714 into a fraction
0.9285714 has 7 digits after the decimal sign. So it is equivalent to the fraction with a numerator 9285714 and a denominator 10000000
\(\bf{0.9285714=\dfrac{9285714}{10000000},reduced \ by \ 2 \ : \dfrac{4642857 }{5000000} }\)
Result:
The decimal number 0.9285714 is equivalent to the fraction
4642857 / 5000000
\(\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}\)
1/4n - 5 - 4n + 3 = 2
Tashi likes teenagers but hates children, he likes running but hates walking, he likes
swimming but hates the water, he likes trees but hates flowers, he likes jeeps but hates cars
and he likes beef but hates pork. From the following what does Tashi like?
1.Onions
2.Rabbits
3.Minivans
4.Chicken
Answer:
Chickens
Step-by-step explanation:
The 4th one I'm sorry if my answers wrong i tried to understand it and thats what i got
The domain , intercepts and range of the function .
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
f(x) = x² for x < 0
5 for 0 ≤ x < 2
x/2 for x ≥ 2
Step 02:
functions:
we must analyze the graph to find the solution.
graph:
The domain is reflected on the x-axis and the range is reflected on the y-axis
domain:
(-oo, 0) U [0 , 2) U [2 , oo)
intercept(s):
(0 , 5)
range:
(0, oo)
That is the full solution.
I need the answer fast pls
Answer:
8
Step-by-step explanation:
1) put the list in numerical order to get the list as 3, 4, 6, 8, 8, 8, 9, 10
2) find the middle number
in this case there are two middle numbers, but they are both 8, so don't worry about it.