Answer:
he has to pay 4980$ in tax So its C) 4,980
The amount of income tax that the electrician has to pay is $4980. Then the correct option is C.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
An electrician has an income of $41,500.
The income tax the electrician has to pay is 12%.
Then the amount of income tax that the electrician has to pay will be
Amount of income tax = 0.12 × $41500
Amount of income tax = $ 4980
Thus, the amount of income tax that the electrician has to pay is $4980.
More about the percentage link is given below.
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please can i have help answering the question in the picture
Hey there!
Answer: [tex] \Rightarrow \sf{\frac{x+3}{x -2}}[/tex]
[tex] \rightarrow \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } }[/tex]
[tex] \rightarrow{ \rm{factorise} \sf{ \frac{ {x}^{2} + 5x + 6 }{ {x}^{2} - 4 } } = \frac{(x + 2)(x + 3)}{ {x}^{2} - 4} = \frac{(x + 2)(x + 3)}{(x + 2)(x - 2)} = \Rightarrow \sf{\frac{x+3}{x -2}}}[/tex]
How to find the area of a half of a square?
Answer:
if u make the square half by its midpoint then we can find its area by using the area of rectangle.
if u make the square half from the diagonal we can find its area by using area of triangle.
How many distinct subsets of the set $s=\{1,8,9,39,52,91\}$ have three-digit sums?
The number of distinct subset of the set is an illustration of combination
There are 34 distinct subset of the set that have three digit sums
How to determine the number of distinct subsets?The set is given as:
S = {1,8,9,39,52,91}
Group the elements
S = {(1,8),9,39,52,91}
So, we have:
S ={s1,s2,s3,s4,s5}
To have a three-digit sum, the sum of the selected elements must be 100 or above.
The number of ways the above set can be selected is:
[tex]n_1 = 4 * [^3C_1 + ^3C_2 + ^3C_3] + 1[/tex]
Evaluate
[tex]n_1 = 4 * [3 + 3 + 1] + 1[/tex]
[tex]n_1 = 29[/tex]
The set can be further rearranged as:
S = {(52,39),9,(8,1)}
i.e.
S = {b1,b2,b3}.
The number of ways the above set can be selected such that the sum is 100 or above is:
[tex]n_2 = 2 * [^2C_1] + 1[/tex]
Evaluate
[tex]n_2 = 2 * 2 + 1[/tex]
[tex]n_2 = 5[/tex]
So, the total number of ways is:
[tex]n = n_1 +n_2[/tex]
This gives
[tex]n = 29 +5[/tex]
[tex]n = 34[/tex]
Hence, there are 34 distinct subset of the see that have three digit sums
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There are 34 distinct subsets of the see that have three-digit sums.
What are distinct subsets of the set?When we know that S is a subset of T, we place the circle representing S inside the circle representing T.
The set is given as:
S = {1,8,9,39,52,91}
Group the elements
S = {(1,8),9,39,52,91}
S ={s1,s2,s3,s4,s5}
To have a three-digit sum, the sum of the selected elements must be 100 or above.
The number of ways the above set can be selected is:
[tex]\rm n_1=4\times (^3C_1+^3C_2+^3C_3)+1\\\\n_1=4(3+3+1)+1\\\\n_1=4 \times 7+1\\\\n_1=28+1\\\\n_1=29[/tex]
The set can be further rearranged as:
S = {(52,39),9,(8,1)}
S = {b1,b2,b3}.
The number of ways the above set can be selected such that the sum is 100 or above is:
[tex]\rm n_2=2\times ^2C_1+1\\\\n_2= 2\times 2+1\\\\n_2=4+1\\\\n_2=5[/tex]
The distinct subsets of the set are;
[tex]\rm n_1+n_2=29+5 =34[/tex]
Hence, there are 34 distinct subsets of the see that have three-digit sums.
Read more about combination at:
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Find the distance between the pair of points.
(-2,-18) and (-8,-22)
Answer:
7.21 units
Step-by-step explanation:
hope this helps!
Evaluate the expression for p = 3.
2p =
Answer:
6
Step-by-step explanation:
2 x 3
NO LINKS!!! Which term describes a line segment that connects a vertex of a triangle to a point on the line containing the opposite side, so that the line segment is perpendicular to that line?
Answer: C
Step-by-step explanation:
need help on this ratio question 4:8 in simplist form then into a fraction?
Answer:
4:8 in simplified form would be 1/2
Step-by-step explanation:
Think of 4:8 as a fraction, so 4/8. Now, you can reduce it to the lowest form, which is 1/2. How? 4 is the numerator, and 8 is our denominator. Now, we divide 4 by 8. 4 divided by 8 equals 0.5, where 0.5 is converted into 1/2!
154-54(79-1554)+12x24
Answer:
80092
Step-by-step explanation:
Answer:
80092.Step-by-step explanation:
Given equation:
154 - 54 * (79 - 1554) + 12 * 24Step-By-Step:
Step 1
Subtract the numbers:
154 - 54 * (79 - 1554) + 12 * 24= 154 - 54 * (-1475) + 12 * 24Step 2
Multiply the numbers:
154 - 54 * (-1475) + 12 * 24= 154 + 79650 + 288Step 3
Add the numbers:
154 + 79650 + 288= 80092.Answer is 80092.
A 20-inch pizza has an area of 314 in? That pizza is
divided into eight equal slices. What is the area of two slices of
that pizza?
A. 3114 in2
B. 78.5 in2
C. 39.25 in2
D. 314 in2
The area of each pizza is gotten by dividing the total area by the number of slices. Therefore, the area of two slices of that pizza is 31.4 inches².
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words the area is the space occupied by a flat shape or the surface of an object.
Therefore, 20 inch pizza has an area of 314 inches². The pizza is divided into 8 equal slices.
Each area of the slices = 314 / 20
Each area of the slices = 15.7 inches²
Therefore, the area of two slices of the pizza is as follows:
area of two slices = 15.7 + 15.7 = 31.4 inches²
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Simon's dog jumped into a stream at a 68° angle from the corner of a bridge. simon crossed the bridge and walked downstream to meet the dog.
part a how long is the bridge, in feet?
part b how many feet did the dog swim?
The length of the bridge is 12.12 feet.
The length the dog swam is 32.36 feet.
The situation forms a right angle triangle.
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.
The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.
Therefore,
Let's find the length of the bridge as follows:
tan 68° = opposite / adjacent
tan 68° = 30 / l
cross multiply
l = 30 / tan 68
l = 12.1212121212
length of the bridge = 12.12 ft
The length the dog swim is as follows:
sin 68°= opposite / hypotenuse
sin 68° = 30 / h
h = 30 / sin 68
h = 32.3561767942
The distance the dog swimmed = 32.36 ft
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What is the area of the given triangle?
Answer:
B 12
Step-by-step explanation:
4 x 6 = 24 divided by 2 = 12
Covert 135 degrees to radian
Answer:
2.35619
Step-by-step explanation:
Answer:
2.35619
Step-by-step explanation:
Deg to Rad = ° x pi / 180
Please help me with this please and thank you
Answer:
12
Step-by-step explanation:
4x-3x
4*3=12
it is 12
A garden is the shape of a triangle. It has a perimeter of 27 meters. Each side of the garden is the same length.
What is the length of each side of the garden?
3 meters
6 meters
9 meters
27 meters
Answer: 9 meters
Step-by-step explanation:
Let's list what we know
The garden is in the shape of a triangle
The perimeter of the garden is 27 meters
Each side is the same length
The perimeter of something is the sum of all the side lengths added together. We know that the garden is a triangle and triangles have 3 sides
Since all the sides are the same length we can divide 27 by 3 to find the length of each side
27/3=9
Complete the square to transform the expression x2 6x 5 into the form a(x − h)2 k. (x 6)2 4 (x 6)2 − 4 (x 3)2 − 4 (x 3)2 4
An equation is formed of two equal expressions. The equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The transformation of the equation from x²+6x+5 into the form a(x − h)²+k can be done in the following steps as shown below,
1. Taking +5 on the right-hand side of the equation,
[tex]x^2+6x+5 = 0\\\\x^2+6x = -5[/tex]
2. Now if we add +9 on both sides of the equation, we will get,
[tex]x^2+6x = -5\\\\x^2+6x+9 = -5+9[/tex]
3. Now we look at the left side of the equation as the square of the binomial expression (x+3).
[tex]x^2+6x+9 = -5+9\\\\(x+3)^2 =4[/tex]
4. Taking +4 from the right side of the equation to the left side of the equation,
[tex](x+3)^2 =4\\\\(x+3)^2 -4=0[/tex]
Thus, the equation is in the form of a(x − h)²+k, where the value of a is 1, h is -3 and the value of k is -4.
Hence, the equation x²+6x+5 into the form a(x − h)²+k is written as (x+3)²-4.
Learn more about Equation:
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The mean distance from the Earth to the Sun is c gigametres (Gm), where c = 150 and 1 Gm = 10⁹ m. The mean distance from Pluto to the Sun is d terametres (Tm), where d= 5.91 and 1 Tm = 10¹² m. Express d as a percentage of c. Give your answer in standard form.
please help, I don't understand how to get percentage
∠C and ∠D are complementary.
Let m∠C=(8x)° and m∠D=(5x−1)°.
What is the value of x?
Enter your answer in the box.
x =
Answer:
x = 7Step-by-step explanation:
Complementary angles are angles that add up to 90°.
We have C and D as complementary.
Their sum is:
m∠C + m∠D = 90Substitute values and solve for x:
8x + 5x - 1 = 9013x = 90 + 113x = 91x = 91/13x = 7Answer:
x = 7
Step-by-step explanation:
Complementary angles are two angles that sum up to 90°. In this case, we are given that ∠C and ∠D are complementary. This means that the sum of ∠C and ∠D is equivalent to 90°.
⇒ ∠C + ∠D = 90°
⇒ 8x + 5x - 1 = 90° [∠C = 8x; ∠D = 5x - 1]
⇒ 13x - 1 = 90°
⇒ 13x = 90 + 1
⇒ 13x = 91
⇒ 13x/13 = 91/13
⇒ x = 91/13 = 7
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4
The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
What is probability distribution?Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.
A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.
Probability distribution score: 1, 2, 3, 4, x probability: p(x) 0.06, 0.20, 0.48, 0.26In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.
Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.
Learn more about the probability distribution here;
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Answer:
C on edge
Step-by-step explanation:
3
If the radius of a circle is x cm. what is the length of it's circumferences?
Answer:
44/7x
Step-by-step explanation:
circumference of circle= 2πr
=2×22/7×x
=44/7x
someone help me please
A ball is dropped from a height of 9 m. Each time it strikes the ground it bounces vertically to a height that is 2/3 of the preceding height. Find the total distance the ball will travel if it is assumed to bounce infinitely often. show all work.
Answer:
The answer i 9
Step-by-step explanation:
If the ball bounces 2/3 of the height of 9, and a 1/3 of 9 is 3, then 6 is the answer.
x/14=7
what is x?
x/5=4.1
What is x
Answer:
x = 98 , x = 20.5
Step-by-step explanation:
[tex]\frac{x}{14}[/tex] = 7 ( multiply both sides by 14 to clear the fraction )
x = 98
[tex]\frac{x}{5}[/tex] = 4.1 ( multiply both sides by 5 to clear the fraction )
x = 20.5
Step-by-step explanation:
#1
x/14=7
x=14×7
x=98
#2
x/5=4.1
x=5×4.1
x=20.5
What are the x-intercepts of ? f(x)=x3+4x2-9x-36? A. (1,0),(2,0),(3,0) B. (-1,0),(2,0),(18,0) C. (-6,0)(2,0)(3,0) D.(-4,0),(-3,0)(3,0)
Answer:
D. (-4,0),(-3,0)(3,0)
Step-by-step explanation:
if raymond had 50 dogs and gets 80 how many does he have?
Answer:
50+80 = 130
Step-by-step explanation:
Answer:
50+80=130
Step-by-step explanation:
please mark me the brainiest
Express the decimal as a percent. 1.276
60 points.
To change a decimal to a percentage, all that we have to do is multiply the decimal by 100 (or move the decimal point to the right two places).
1.276 x 100 = 127.6
Percentage: 127.6%
Hope this helps!
Solve and show the answer in simplest terms 2 over 5 + 1 over 3
Answer:
11/15
Step-by-step explanation:
2/5+1/3
Find a common denominator-15. The fractions with the common denominator are 6/15 and 5/15. They make 11/15. 11/15 is in its simplest form.
yeah help me okay thanks
Answer:
4
3
Step-by-step explanation:
find the area of this circle. Use 3.14 as (pie symbol) click the photo to see the circle ! Please help
Answer:
Its 452.16
Step-by-step explanation:
Because the formal is [tex]\pi[/tex]r2
Which is 3.14*12*12=452.16
What is the equation of the line that passes through the point (-2,-1) and has a slope of 1/2? ?
equation of line will be
y+1=1/2(x+2)
Hello!
Let's write the equation of the line in both Point-Slope Form and Slope-Intercept Form.
First, point-slope form:
y-y1=m(x-x1)
y-(-1)=1/2(x-(-2) (Point-Slope Form)
Now, convert into Slope-Intercept form:
y+1=1/2(x+2)
y+1=1/2x+1
y=1/2x+1-1
y=1/2x
Hence, the equation of the line is
[tex]\boxed{\boxed{\bold{y=\frac{1}{2}}} }[/tex] (Slope-Intercept Form)
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Teleia bought 25 shirts for $237.50. How much would only one shirt cost?
Answer:
$9.50
Step-by-step explanation:
Divide 237.50 by 25