Based on the exhibit attached, we can calculate that a person earning $50,000 will pay $9,250.
People earning $50,000 fall into the $42,001 - $100,000 bracket which means that they pay $7,250 + 25% of everything over $42,000.
The amount of taxes is:
= 7,250 + ( 25% x (50,000 - 42,000))
= 7,250 + (25% x 8,000)
= $9,250
In conclusion, the person would pay $9,250 in taxes.
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Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles
Time taken by Miguel car to drive is, 1.6 hour.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
Miguel went for a drive in his new car. He drove at a speed of 53 miles per hour for 84.8 miles.
We know that;
⇒ Speed = Distance / Time
⇒ Time = Distance / Speed
Here, Speed = 53 miles per hour
Distance = 84.8 miles
Hence, We get;
⇒ Time = 84.8 / 53
⇒ Time = 1.6 hour
Thus, Time taken by Miguel car to drive is, 1.6 hour.
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a fish taco from Ama taco truck cost $4.50. a soda cost $1.25. if corey eats a fish taco and soda and wants to tip 15% how much will he need to tip
Answer:
4.50 + 1.25 = 5.75 x.15 = 0.8625
Round that to .86
$5.75 +.86(tip)
.86 cents
Step-by-step explanation:
Round 4.994 to the nearest tenths
Answer:
5 or 5.0
Step-by-step explanation:
It would be 5 because the second nine in 4.994 would make the first nine round up to 10. But since there can only be a one digit number per place value, we have to carry the 1 forward and we get 5.0 or 5.
what ratio is equivelant to 36:27
Answer:
Therefore, 36/27 simplified to lowest terms is 4/3.Step-by-step explanation:
i hope this answer helpful for you
I forgot how to do this-
Answer:
X is equal to 60 degree
Step-by-step explanation:
180-60=2x
120/2=X
so X is equal to 60
what is the smallest possible perimeter, in units, of a triangle whose side-length measures are consecutive integer values?
If a triangle whose sides length measures are consecutive integers, then the smallest possible perimeter is 9 units
If a, b and c are the sides of the triangle
Then it will be
a + b > c
b + c > a
c + a > b
Given that the side length of the measures are consecutive integer
Smallest consecutive integer is 1, 2 and 3
But
1 +2 > 3
3 = 3
Therefore it will not be the sides of the triangle
Next smallest consecutive integers are 2, 3 and 4
Then,
2+3 > 4
5 > 4
3+4 > 2
7 > 2
2+4 > 3
6 > 3
This will be the sides of the triangle
The perimeter of the triangle is the sum of sides of the triangle
The perimeter = 2 + 3 + 4
= 9 units
Hence, if a triangle whose sides length measures are consecutive integers, then the smallest possible perimeter is 9 units
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A Jar of Dill costs $7.64. A jar of dill contains 4 oz., and a cup of dill weighs 2 oz. How much will 1 tbsp cost
Answer:
$0.27875 or $0.28 1 cup = 2 ounces Number of cups in 1 jar = 4 ounce
Step-by-step explanation:
5 times the sun of a number and 1
Answer:
5 ⋅ ( n + 1 )
Step-by-step explanation:
To write Five times the sum of a number and one you first make "a number" into a variable. In this case let's call it n
Next let's create the sum of a number and one. This would be:
n + 1
sum references addition
Then to get five times this number we need to multiple this expression by five to get: 5 ⋅ ( n + 1 )
A movie rental store charges a $6 membership fee plus $2.50 for each movie rented. What are the slope and y-intercept that represent the total cost?
There searched up please be correct
Answer:
domain (x) is equal to or greater than 0 and range is equal to or greater than 6. for the graph.
Step-by-step explanation:
Pls don't judge me if this is wrong
Use the distributive property to write three different expressions that are equivalent to. 24xy + 48xz
Find the simple interest on 1050$ for 4 months at the rate of 3%
Answer:
Step-by-step explanation:
To find the simple interest, we can use the formula:
I = Prt
where:
I = simple interest
P = principal amount
r = interest rate per period
t = time period
Here, P = $1050, r = 3% per annum, and t = 4 months.
First, we need to convert the annual interest rate to a monthly rate:
3% per annum = 3/12% per month = 0.25% per month
Now, we can substitute the values into the formula:
I = 1050 * 0.0025 * 4
= $10.50
Therefore, the simple interest on $1050 for 4 months at the rate of 3% is $10.50.
5x+2y=10
Find the Y intercept and gradient
ITS ME AGAIN AND I NEED HELP AGAIN PLZ AND THX
Answer:
$44.10
Step-by-step explanation:
$8.40÷2= $4.20 for 1 pound of ground beef
so:
10.5 x $4.20= $44.10
hope that helped :)
Write the inequality. A student will study Latin for at least 6 years. (Use x
for your variable and use equati to write the inequality symbol or write it
out)
Answer:
x>6
Step-by-step explanation:
because the student will study Latin at least, meaning the least amount of time would be 6 so x would have to be greater than 6.
2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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given the formula[ A B] [ I 0 ] = [ 0 I]C 0 X Y Z 0which matrix or matrices must be invertible?B and YYXB and XB
Tthe matrices B and Y must be invertible for the given formula to hold true. As for the specific choices given, both options of XB and YYXB include an invertible matrix B, so they satisfy the requirement.
In order for the given formula to hold true, both matrices [A B] and [I 0] must be invertible. This is because the product of two invertible matrices is also invertible.
However, based on the given formula, we can also see that matrix Y must be invertible. This is because if Y is not invertible, then the matrix [0 I] would not be invertible, and therefore the entire equation would not hold true.
the matrices B and Y must be invertible for the given formula to hold true.
As for the specific choices given, both options of XB and YYXB include an invertible matrix B, so they satisfy the requirement.
Based on the given formula:
[ A B ] [ I 0 ] = [ 0 I ]
[ C 0 ] [ X Y ] [ Z 0 ]
Let's analyze each part of the matrix equation:
1. [ A B ] [ I 0 ] = [ 0 I ]
2. [ C 0 ] [ X Y ] = [ Z 0 ]
From equation (1), we have AI + BX = 0 and BI = I, which means B is invertible. From equation (2), we have CX = Z and 0Y = 0, which means X is invertible.
Therefore, the matrices B and X must be invertible. Your answer is "B and X".
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a cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 114 inches. find the dimensions (in inches) of the package of maximum volume that can be sent.
The dimensions of the package of maximum volume that can be sent are approximately 7.8 inches in radius and 21.3 inches in height.
Let's assume that the package has a height 'h' and a radius 'r'. The perimeter of the cross-section of a cylinder is the circumference of the circle plus the height multiplied by two, which can be written as:
Perimeter = 2πr + 2h
Given that the maximum combined length and circumference is 114 inches, we can write:
2πr + 2h + 2r = 114
Simplifying this equation, we get:
πr + h = 57 - r ----(1)
The volume of the cylinder is given by:
\(V = πr^2h\)
Now, we can use equation (1) to eliminate 'h' from the volume equation:
\(V = πr^2(57 - r - πr)\)
Expanding and simplifying this equation, we get:
\(V = πr^3 - π^2r^3/3 + 57πr^2 - 57π^2r\)
To find the dimensions of the package that maximize the volume, we need to find the value of 'r' that maximizes the volume. We can do this by taking the derivative of the volume equation with respect to 'r' and setting it equal to zero:
\(dV/dr = 3πr^2 - π^2r^2 + 114πr - 57π^2 = 0\)
Solving for 'r', we get:
r ≈ 7.8 inches
Substituting this value of 'r' back into equation (1), we can find the value of 'h':
h ≈ 21.3 inches
Therefore, the dimensions of the package of maximum volume that can be sent are approximately 7.8 inches in radius and 21.3 inches in height.
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Solve for x3x+2=5 Quiero saber el resultado
Answer:
x=1
Explanation:
Given the equation:
\(3x+2=5\)To solve for x, follow the steps below.
Step 1: Subtract 2 from both sides of the equation.
\(\begin{gathered} 3x+2-2=5-2 \\ 3x=3 \end{gathered}\)Step 2: Divide both sides by 3.
\(\begin{gathered} \frac{3x}{3}=\frac{3}{3} \\ x=1 \end{gathered}\)The value of x (that is the solution to the equation) is 1.
Complete the equation of the line through
(
−
9
,
−
9
)
(−9,−9)left parenthesis, minus, 9, comma, minus, 9, right parenthesis and
(
−
6
,
0
)
(−6,0)left parenthesis, minus, 6, comma, 0, right parenthesis. Use exact numbers. �
=
y=y, equals
To find the equation of the line through the points (-9,-9) and (-6,0), we need to determine the slope of the line and its y-intercept. The solution will be y = 3x + 18.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
slope = (y2 - y1) / (x2 - x1)
Substituting the given points, we get:
slope = (0 - (-9)) / (-6 - (-9)) = 9/3 = 3
So, the slope of the line is 3.
To find the y-intercept, we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
Substituting the slope and one of the given points, say (-9,-9), we get:
y - (-9) = 3(x - (-9))
y + 9 = 3(x + 9)
y = 3x + 27 - 9
y = 3x + 18
Therefore, the equation of the line passing through (-9,-9) and (-6,0) is:
y = 3x + 18
Check: We can verify our answer by substituting the coordinates of the given points in the equation of the line.
For (-9,-9):
y = 3x + 18
-9 = 3(-9) + 18
-9 = -9, which is true.
For (-6,0):
y = 3x + 18
0 = 3(-6) + 18
0 = 0, which is also true.
Hence, the solution is y = 3x + 18.
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Find the circumference of the circle pictured above Round your answer to the nearest. hundredth 6
To find the circumference we have to calculate
\(s=2\pi r\)where r=6
therefore we have that the answer is
\(2\pi\cdot6=12\pi=37.699\approx37.70\)X
Dogs
0
16
12
10
10
Name
Problem # 1 (worth 50 points)
Carlos and Clarita are making a lot of some of the issues they need to consider as part of their business plan to care for
cats and dogs while their owners are on vacation.
Cats
40
0
12
14
10
Space Used
A
Date
Space: Cat pens will require 6/r of space, while dog runs require 24/r. Carlos and Clarita have up to 360 f
available in the storage shed for pens and runs, while still leaving enough room to move around the cages.
Start-up costs: Carlos and Clarta plan to invest much of the $1280 they earned from their last business venture
to purchase cat pens and dog runs. It will cost $32 for each cat pen and $80 for each dog run
0-24 n 40-6n
Complete the table below based on the scenario. Determine whether the combinations of cats and dogs fit within the
conditions of the constraints listed above.
-
ZOOM +
. Pampering time constraint: (25 points)
2 TS
Cost
R0-580 40-$32-5
Period
Works?
Yes if Used
Space 5360¹
and
Costs$1280
Points
10
10
10
10
10
Problem #2 (worth 50 points)
Carlos and Clarita have been worried about space and start-up costs for their pet sitting business, but they
realize they also have a limit on the amount of time they have for taking care of the animals they board. To
keep things fair, they have agreed on the following time constraints.
. Feeding time: Carlos and Clarita estimate that cats will require 6 minutes twice a day-moming and
evening to feed and clean their litter boxes, for a total of 12 minutes per day for each cat Dogs will
require 10 minutes twice a day to feed and walk, for a total of 20 minutes per day for each dog. Carlos
can spend up to 8 hours each day for the moming and evening feedings but needs the middle of the
day off for baseball practice and games.
Pampering time: The twins plan to spend 16 minutes each day brushing and petting each cat, and
20 minutes each day bathing or playing with each dog. Clarita needs time off in the morning for the
swim team and evening for her art class, but she can spend up to 8 hours during the middle of the
day pampering and playing with the pets.
Write each of these additional time constraints symbolically
. Feeding time constraint: (25 points)
a
Answer:
problem 2
Step-by-step explanation:
The feeding time constraint for cats can be written symbolically as:
12 minutes/day * number of cats <= 8 hours/day
The feeding time constraint for dogs can be written symbolically as:
20 minutes/day * number of dogs <= 8 hours/day
The pampering time constraint for cats can be written symbolically as:
16 minutes/day * number of cats <= 8 hours/day
The pampering time constraint for dogs can be written symbolically as:
20 minutes/day * number of dogs <= 8 hours/day
I need help ASAP!!!!
Answer:
B. -6/7
Step-by-step explanation:
Since there's a common denominator, we can simply substract the numerators. 4 - 10 = -6, and so the answer is -6/7.
3/12 simplified version
Answer:
1/4
Step-by-step explanation:
divide numerator and denominator by 3
You want your savings account to have a total of $23,000 in it within 5 years. If you invest your money in an account that pays 6.8% interest compounded continuously, how much money must you have in your account now?
You must have approximately $16,465.55 in your account now to achieve a balance of $23,000 in 5 years with a 6.8% interest rate compounded continuously.
To achieve a savings account balance of $23,000 in 5 years with an interest rate of 6.8% compounded continuously, you will need to use the formula for continuous compounding: A = P * e^(rt), where A is the future value, P is the principal amount (initial deposit), r is the interest rate, t is the time in years, and e is the base of the natural logarithm (approximately 2.71828).
In this case, A = $23,000, r = 0.068, and t = 5 years. You need to solve for P, the principal amount:
$23,000 = P * e^(0.068 * 5)
Now, you can solve for P:
P = $23,000 / e^(0.068 * 5)
P ≈ $16,465.55
So, you must have approximately $16,465.55 in your account now to achieve a balance of $23,000 in 5 years with a 6.8% interest rate compounded continuously.
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What is the importance of making connections with the real world
when teaching math concepts? What are some real-world applications
of geometry that would be appropriate for young
learners?
These real-world applications help young learners see the practical applications of geometry and develop a deeper understanding of geometric concepts while making learning more engaging and meaningful.
Relevance: Connecting math to real-world applications helps students see the practical value and relevance of the concepts they are learning. It provides a meaningful context and motivation for learning.
Engagement: Real-world applications make math more interesting and engaging for students. It brings concepts to life and helps students see how math is used in everyday life.
Deep understanding: By applying math concepts to real-world situations, students develop a deeper understanding of the concepts and their connections. It promotes critical thinking, problem-solving skills, and the ability to apply mathematical knowledge in different contexts.
Transferability: Real-world applications help students see how math concepts can be transferred and applied to various situations. It promotes the ability to apply learned concepts to new and unfamiliar problems.
Some real-world applications of geometry that would be appropriate for young learners include:
Measurement: Young learners can apply geometric concepts to measure and compare the lengths, areas, and volumes of objects in their environment. For example, measuring the length of a room, comparing the sizes of different shapes, or estimating the volume of a container.
Navigation and Maps: Young learners can use geometry to understand maps, directions, and spatial relationships. They can learn about reading maps, understanding coordinates, and finding distances between locations.
Architecture and Construction: Exploring geometric shapes, angles, and symmetry can help young learners understand the principles of architecture and construction. They can design and build simple structures using different shapes and understand the importance of stability and balance.
Art and Design: Geometry plays a significant role in art and design. Young learners can explore symmetry, patterns, and shapes in various art forms. They can create tessellations, explore rotational symmetry, or design patterns using geometric shapes.
Everyday Objects: Geometry is present in everyday objects around us. Young learners can identify and classify shapes in their environment, such as identifying spheres, cubes, cylinders, and cones in objects like balls, boxes, cups, and ice cream cones.
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A water pump fills a swimming pool at a rate of 80
cubic feet per hour. A swimming pool measures 10
feet by 8 feet by 5 feet. How many hours will it take
the pump to fill the pool?
I know it’s really late at now or early in the morning but can someone plz help me on this plz
9514 1404 393
Answer:
5 hours
Step-by-step explanation:
The volume of the pool is ...
V = LWH
V = (10 ft)(8 ft)(5 ft) = 400 ft^3
At the given fill rate, the time it will take is ...
(400 ft^3)/(80 ft^3/h) = 5 h
It will take 5 hours for the pump to fill the pool.
Answer:
Im pretty sure the answer is 5 hours
Step-by-step explanation:
The capacity of swimming pool is
v = 10 ⋅ 8 ⋅ 5 = 400 cubic feet
The pump fills 80 cubic feet in 1 hour
Therefore, the pump will fill
400 cubic feet in 5 hours.
Select THREE expressions equivalent to –81x + 27.
A. –9(9x – 3)
B. –9(–9x – 3)
C. 3(–27x + 9)
D. –3(27x – 9)
E. –3(–27x + 9)
Answer:
A, C, and D
Step-by-step explanation:
Here are the ingredients needed to make 8 pancakes.
250 ml milk
1 egg
140 g flour
5g butter
a)
Simon makes 4 pancakes.
Work out how much milk he needs.
b) Craig makes 12 pancakes.
Work out how much butter he needs.
Answer:
a) 1000mL Milk
b) 60g Butter
Step-by-step explanation:
a) 250mL*4=1000mL
b) 5g*12=60g
Answer:
divide every thing by two for simons answer then multiply by four for craigs answer
Step-by-step explanation:
Please draw the ray diagram! A 3.0 cm-tall object is placed at a distance of 20.0 cm from a convex mirror that has a focal length of - 60.0 cm. Calculate the position and height of the image. Use the method of ray tracing to sketch the image. State whether the image is formed in front or behind the mirror, and whether the image is upright or inverted.
The image is formed behind the mirror, and the image is upright.
Given data: Object height, h = 3.0 cm Image distance, v = ? Object distance, u = -20.0 cmFocal length, f = -60.0 cmUsing the lens formula, the image distance is given by;1/f = 1/v - 1/u
Putting the values in the above equation, we get;1/-60 = 1/v - 1/-20
Simplifying the above equation, we get;v = -40 cm
This negative sign indicates that the image is formed behind the mirror, as the object is placed in front of the mirror.
Hence, the image is virtual and erect. Using magnification formula;M = -v/uWe get;M = -(-40) / -20M = 2Hence, the height of the image is twice the height of the object.
The height of the image is given by;h' = M × hh' = 2 × 3h' = 6 cm Now, let's draw the ray diagram:
Thus, the position of the image is -40.0 cm and the height of the image is 6 cm.
The image is formed behind the mirror, and the image is upright.
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Tia earns $19.25 per hour she worked 36 hours.what is her straight time pay
Answer:
q122a
Step-by-step explanation: