Someone who is earning $39,000 a year, would pay $1,638 towards social security out of their gross wages
Employees in 2012 paid 4.2% of their gross wages towards social security tax.
As the gross yearly wages of an employee is $39,000 and he have to pay the 4.2% of his gross wages towards social security or FICA tax.
Percentage means division by 100 and to know the contribution of the employee we need to multiply the percentage with the gross wages of the employee
He paid towards social security = 4.2% of 39000
= 4.2/100×39000
= 0.042 × 39000
= $1,638.00
He would pay $1,638 towards social security tax out of their wages.
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DIG DEEPER There are
9 pigeons on a curb. 3 of
them fly away, and some
of them jump down to the
street. There are 4 left. How
many pigeons jumped down
to the street?
There are 2 pigeons jumped down to the street.
Total no. of pigeons on a curb=9
No. of pigeons fly away=3
No. of pigeons stayed in the curb=4
Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2
This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.
Hence, there are 2 pigeons jumped down to the street.
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There are 2 pigeons jumped down to the street.
Total no. of pigeons on a curb=9
No. of pigeons fly away=3
No. of pigeons stayed in the curb=4
Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2
This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.
Hence, there are 2 pigeons jumped down to the street.
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30. Place the following values in order from
greatest to least:
3п, 4√5, 5√4
the gas/oil ratio for a certain chainsaw is 20 to 1 a.how much oil (in gallons) shouls be mixed with 8 gallons of gasoline b.if 1 gallon equals 128 fluid ounces write the answer to part a in fluid ounces
As per the given ratio
a. Quantity of oil mixed with 8 gallons of gasoline is (8/20) gallons.
b. If 1 gallons=128fluid ounces then (8/20)gallons=51.2 fluid ounces.
As given in the question,
(Gas /oil) ratio=20: 1
Let x gallons of oil mixed with 8 gallons of gasoline
a.
21:1=8 : x
⇒x=(8/20) gallons
b.
1 gallon=128 fluid ounces
⇒(8/20)gallons=(8/20)×128
=51.2fluid ounces
Therefore, as per the given ratio
a. Quantity of oil should be mixed with 8 gallons of gasoline is (8/20) gallons.
b. If 1 gallons = 128fluid ounces then (8/20)gallons=51.2 fluid ounces.
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4. Marilyn purchased 2,000 shares of stock for $25.43 per share. She
sold them for $44.10 per share. Express her capital gain to the near-
est tenth of a percent.
O $37,340.0
O $18.67
O $18.7
O $139,060.0
Answer: c
Step-by-step explanation:
In any given year, a factory has a 10% probability of having a serious accident. About every how many years might the factory expect to have an accident?
Since the probability of having a severe accident is 10% in any given year, the factory might expect to experience one accident every 10 years.
What is probability?Probability refers to the likelihood of an event occurring from many possible outcomes.
Probability shows the ratio or percentage of an outcome happening.
Probability is always stated as a proportion of an occurrence.
Data and Calculations:The probability of a severe accident = 10%
The number of years when an accident should be expected = 100/10 = 10 years
In 10 years, when an accident might occur = 1 times (10 x 10%).
Thus, under probability, the factory might expect to experience one accident every 10 years.
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I will mark brainliest!!
Answer choices are:
A. a 180 degrees clockwise rotation about the origin
B. a dilation with a scale factor of 6
C. a 90 degrees clockwise rotation about the origin
D. a reflection over the line x=6
10 customers entered a store over the course of 4 minutes. At what rate were the customers entering the store in customers per minute?
The rate of customers entering the store in 1 minute is 2.5 customers per minute.
What do we mean by ratio?A ratio in mathematics indicates how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, and the orange to total fruit ratio is 8:14.So, the ratio is 10 : 4.
Now,
10 : 4Divide both sides by 4 as follows:
10/4 : 4/42.5 : 1Therefore, the rate of customers entering the store in 1 minute is 2.5 customers per minute.
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In selecting a day care center for your lit-
tle brother, your parents have narrowed the
choice to three centers. They will choose the
center with the smallest child-adult ratio.
Center Adults
Sunnyside
11
Westside
11
Little Ones
13
What is the least child - adult ratio?
Children
77
88
39
The day care center with smallest child to adult ratio is Little Ones Day Care Center with the ratio 3 : 1.
What is Ratio?In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
Given is a table that shows the number of adults and children in a given day care center.
The day care center with smallest child - adult ration can be found by separately finding the child - adult ratio for each center.
1 → Sunnyside Day Care Center.
The ratio of children to adult at Sunnyside Day Care Center is given by -
77/11 = 7 : 1
2 → Westside Day Care Center.
The ratio of children to adult at Westside Day Care Center is given by -
88/11 = 8 : 1
3 → Little Ones Day Care Center.
The ratio of children to adult at Little Ones Day Care Center is given by -
39/13 = 3 : 1
On comparing -
3 : 1 < 7 : 1 < 8 : 1
Hence, the day care center with smallest child to adult ratio is Little Ones Day Care Center with the ratio 3 : 1.
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The least child-adult ratio will be the division of the numbers 11 by 88. Then the least child-adult ratio will be 1/8.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Your parents have limited the field of options for your younger brother's daycare to only three facilities. They'll pick the facility with the lowest child-to-adult ratio.
Center Adults Children
Sunnyside 11 77
Westside 11 88
Little Ones 13 39
The least child-adult ratio will be the division of the numbers 11 by 88. Then the ratio will be given as,
⇒ 11 / 88
⇒ 1/8
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6. What value of x cannot be evaluated in the function r(x)? r(x)=x+13/x-3
Answer:
i'm pretty sure it's C.
Step-by-step explanation:
If nC3=120 the value of n is
The value of n in [tex]^nC_3=120[/tex] is 10 .
Combining is defined as "arrangement of objects in any order in which objects are selected", meaning "selection of objects" in any order. The number of combinations of n different things for each r is " n " and it is given by [tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex] ....(1) where 0 ≤ r ≤ n. This forms a general combination formula. Prime factorization means that writing a number into its product of prime numbers .
It is given that [tex]^nC_3=120[/tex]
Using equation (1) , we get
[tex]\frac{n!}{3!(n-3)!} =120\\\ \\\frac{n(n-1)(n-2)(n-3)!}{3\times2(n-3)!} =120\\\\\n(n-1)(n-2)=720\\[/tex] ....(2)
Prime factorization of 720 is given by
[tex]720=2^4\times3^2\times5\\720=10\times9\times8[/tex]
720 can be written as [tex]10(10-1)(10-2)[/tex]
Putting above value in equation (2) , we get
[tex]n(n-1)(n-2)=10(10-1)(10-2)[/tex]
On comparing LHS = RHS we get
n = 10
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A farm stands sells oranges in 3lb bags for 3.75 what equation repesnts the cost pounds of oranges
Two equal expressions combine to make an equation, where c=1.25p.
How do equations work?When two equal expressions are combined with the aid of the equal sign "=," an equation is created!
Considering that the farm stand charges $3.75 for 3-lb bags of oranges. As a result, the price of a pound of oranges is
A pound of oranges costs $3.75/3.
= $1.25
If the price, then, is, for p pounds of oranges,
Cost, c = Oranges' price per pound times the quantity of pounds
= $1.25 x p
c = 1.25p
Therefore, the cost pounds of oranges c-1.25p.
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Simplify each algebraic expression
8(x+6)-6(x+1)+2
Answer:
2x + 44 (or) 2(x + 22)
Step-by-step explanation:
Let's solve the problem,
→ 8(x + 6) - 6(x + 1) + 2
→ 8x + 48 - 6x - 6 + 2
→ 2x + 48 - 4
→ 2x + 44
Thus, the answer is 2x + 44.
The time is now 9am on the analogue clock. Determine the number of times in the next 12 hours the hour hand and the minute hand coincided
In analog clock, The number of times in the next 12 hours the hour hand and the minute hand coincided is the 11 times.
According to the statement
We have to find that the number of times in the next 12 hours the hour hand and the minute hand coincided.
So, For this purpose, we know that the
An Analog Clock is a clock having the numbers 1 to 12 or equivalent Roman numerals around its face and three distinct moving hands to show seconds, minutes, and hours.
From the given information:
The time is now 9am on the analogue clock. Determine the number of times in the next 12 hours the hour hand and the minute hand coincided
Then
we know that the
The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).
AM
12:00,1:05,2:11,3:16,4:22,5:27,6:33,7:38,8:44.
So, In analog clock, The number of times in the next 12 hours the hour hand and the minute hand coincided is the 11 times.
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T value and degrees of freedom for this data step by step
Answer:
resposta é 400
Step-by-step explanation:
não sei a explicação para isso
it says i got s.a wrong.
Answer:
Surface area is also 384.
Step-by-step explanation:
A = 12 × 12 + 12 × √(12/2)² + 8² + 12 × √(12/2)² + 8² = 384
what values of a and b make this equaltion true? /sqrt648 = /sqrt2^a x 3^b
The values of a and b make this equation true/sqrt648 = /sqrt2^a x 3^b will be a = 3 and b = 4.
How to illustrate the information?It should be noted that from the information given, the equation is given as:
✓648 = ✓(2^a × 3^b)
when a = 3
b = 4
This will be illustrated as:
✓648 = ✓(2^a × 3^b)
✓648 = ✓(2³ × 3⁴)
✓648 = ✓(8 × 729)
Therefore, the values of a and b make this equation true? /sqrt648 = /sqrt2^a x 3^b will be a = 3 and b = 4.
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Chelsea is trying out for her school play. Using subjective probability, she estimates that she has an 80% chance of getting a part and a 25% probability of landing a lead role.
From the given probabilities, the odds are given as follows:
Getting a part: 4:1.Lead role: 1:3.What is the missing information?This problem asks for the odds of both events whose probabilities are given.
What are probabilities and odds?A probability is given by the number of desired outcomes divided by the number of total outcomes.An odd is given by the number of desired outcomes divided by the number of non-desired outcomes.Hence, an odd can also be expressed as follows:
Odd = probability/(1 - probability)
Hence the odds are given as follows:
Getting a part: 0.8/(1 - 0.8) = 0.8:0.2 = 4:1.Lead role: 0.25/(1 - 0.25) = 0.25:0.75 = 1:3.More can be learned about probabilities and odds at https://brainly.com/question/25683609
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It takes 90 pounds of seed to completely plant a 12 acre field. How many acres can be planted per pound of seed?
Answer:
There are 0.13 acres per pound of seed.
Step-by-step explanation:
Give Brainliest if I helped!
Roger hiked 7 ½ miles in 3 hours. At this constant rate, how many miles can he hike in 1 hour?
Answer: 2.5 mi/hr. 7.5/3= 2.5
Step-by-step explanation:
A telephone pole has a wire attached to its top that is anchored to the ground. The distance from the bottom of the pole to the anchor point is 56 feet less than the height of the pole. If the wire is to be 8 feet longer than the height of the pole, what is the height of the pole?
The distance first from bottom of both the pole to the anchor point is approximately 56 feet smaller than the height of the pole, hence 44 feet cannot be the height of the pole. the height of both pole is 496 feet.
What exactly is a quadratic equation?In mathematics, a quadratic equation is a second-degree equation of both the form ax2 + bx + c = 0. The coefficients are a and b, the constant term is c, and the variable is x. Because the variable x has a second degree, this quadratic equation has two roots or answers.
According to the given data:A telephone pole is said to have a cable attached to its top that is secured to the ground. The distance from the pole's bottom to the anchor point is 56 feet less than the pole's height. So the distance from the bottom of the pole to the anchor point is:
x - 56
The wire must be 8 feet longer than just the height of the pole, thus the wire length would be:
x + 8
We know that the length of the wire is the hypotenuse of a right triangle, thus we can apply Pythagoras' theorem as follows:
(x + 8)² = x² + (x - 56)²
x² + 16x +64 = x² + x² - 112x + 3136
x² + 16x +64 = 2x² - 112x + 3136
2x² + 32x + 128 = x² - 56x + 1568
2x² + 32x + 128 - x² + 56x - 1568 = 0
x² - 88x + 1440 = 0
The value pf x will be:
x = 44
x = 496
The distance first from bottom of both the pole to the anchor point is approximately 56 feet smaller than the height of the pole, hence 44 feet cannot be the height of the pole. the height of both pole is 496 feet.
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Please help me with this. I will give an Brainly and bunch of extra points.
Answer: Door 2
Step-by-step explanation:
Only one of the doors can be true. If the sign on door 2 is false, that means there is neither a lady or tiger behind the doors. That means door 1 is false. Which means the lady is not in door 1, so she must be behind door 2.
K-
Complete the table with exact trigonometric function values. Do not use a calculator.
0
sin 0
cos0
cot 0
csc 0
√2
√√2
2
2
135°
0
sin 0
√2
2
135°
tan 0
?
?
tan 0
cos0
√2
-√√2
√2
2
(Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expres
sec 0
cot 0
√√2
√2
sec 0
csc 0
The values of trigonometric function are tanθ = -1 and cotθ = -1.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
We have been given that trigonometric function
⇒ sinθ = √2/2
⇒ cosθ = -√2/2
We have to determine the function of tanθ and cotθ
Since tanθ = sinθ/cosθ
Substitute the values of sinθ = √2/2 and cosθ = -√2/2, we get
⇒ tanθ = (√2/2)/(-√2/2)
⇒ tanθ = (√2/2)×(-2/√2)
⇒ tanθ = -1
Since cotθ = cosθ/sinθ
Substitute the values of sinθ = √2/2 and cosθ = -√2/2, we get
⇒ cotθ = (-√2/2)/(√2/2)
⇒ cotθ = (√2/2)×(-√2/2)
⇒ cotθ = -1
Therefore, the values of trigonometric function are tanθ = -1 and cotθ = -1.
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The closest star to Earth is approximately 3.99 x 10¹3 kilometers away.
When written in standard notation, how many zeros does this number contain
before the decimal point?
A. 11
B. 12
C. 13
D. 15
When written in standard notation, there are 11 zeroes before the decimal point.
We have the distance of earth from a closest star.
We have to write it in the standard notation and determine how many zeros does this number contain before the decimal point.
What is Standard notation ?Standard notation of a number is when a number is written with only number digits.
According to the question -
Distance from the star to earth = d = 3.99 x 10¹³ Km
In Standard notation, it will be written as -
399 , 000 , 000 , 000 , 00.00
Before the decimal point the standard notation consists of 11 zeroes.
Hence, when written in standard notation, there are 11 zeroes before the decimal point.
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$3100.00 is invested in an
account with a 3.2% interest rate
that is compounded quarterly.
How much money is in the
account at the end of one year?
5 Four friends volunteered to help Mr. Kirby build a new fence around
his property. If the property had a perimeter of 880 ft., how many feet
of fence would each man, including Mr. Kirby, have to build?
PLEASE BE FAST
Faith is going to use a computer at an internet cafe. The cafe charges $0.80 for every minute using a computer on top of an initial charge of $3. Make a table of values and then write an equation for C,C, in terms of t,t, representing the total cost of using a computer for tt minutes at the internet cafe.
Here is the table of values:
Minutes Total cost
0 $3
1 $3.80
2 $4.60
3 $5.40
The equation representing the total cost is C = $3 + $0.80tt
What is the total cost?The total cost of using a computer is a function of the initial charge, cost per minute and total number of minutes the computer was used.
Total cost = initial charge + (cost per minute x number of minutes)
C = $3 + ($0.80 x tt)
C = $3 + $0.80tt
Total cost when the computer is used for one minute: C = $3 +( $0.80 x 1) = $3.80
Total cost when the computer is used for two minutes: C = $3 +( $0.80 x 2) = $4.60
Total cost when the computer is used for three minutes: C = $3 +( $0.80 x 3) = $5.40
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If a function is differentiable, then it is continuous. True or false?
An isolated agricultural country has two distinct regions: a lowland plain and an upland of rugged hills. On one unit of land on the PLAIN, a farmer can raise 10 bushels of grain or graze 10 sheep. On one unit of land in the HILLS, a farmer can raise 2 bushels of grain or graze 4 sheep.
Determine which region has the absolute advantage for sheep production. Explain your answer.
The region that has the absolute advantage for sheep production is in the hills because food grows faster when exposed to heat and rain water.
How to illustrate the information?It shouldbe noted as opposed to being exposed to sunlight all day, food develops more quickly in the hills when it is exposed to heat and rain.
For uphill = 10 sheep = 10 bushels
For uphill = 1 sheep = 1 bushels
For down plain = 4 sheep = 2 bushels
For down plain = 1 sheep = (1 / 2 ) bushels
Therefore, then for 1 sheep, it should be noted that 1 bushel is required in the hills.
Therefore, the region that has the absolute advantage for sheep production is in the hills because food grows faster when exposed to heat and rain water.
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thirteen of the 50 digital video recorders (DVRs) in an inventory are known to be defective. what is the probability that a randomly selected item is defective?
Answer:
13/50
Step-by-step explanation:
P(defective) = Number of defective items ÷ total number of items
= 13 defective ÷ 50 total = 13/50
A p e x Algebra II
f(x) = |2x +1| + 3
g(x) = -2
Find (f + g) (x).
A. (f + g) (x) = |2x + 2|
B. (f + g) (x) = |2x + 1| + 1
C.（f + g) (x) = |2x + 4| - 2
D. (f + g) (2) = |2x| + 2
The solution to (f + g) (x) is Option B: |2x +1| + 1
How to add functions?
We are given the functions;
f(x) = |2x +1| + 3
g(x) = -2
Now, we want to solve for (f + g) (x). From operations of functions, we know that there are different operations which could include addition, division, multiplication and subtraction. However, in this case;
(f + g) (x) simply means;
(f + g) (x) = f(x) + g(x)
Thus, we have;
(f + g) (x) = |2x +1| + 3 + (-2)
= |2x +1| + 3 - 2
= |2x +1| + 1
Thus, the solution to (f + g) (x) is Option B: |2x +1| + 1
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