Answer: $10,298.80
Step-by-step explanation:
Chris made more than the limit required for the Social Security tax so his Social Security tax will be based on the maximum amount of $132,900.
His Social Security tax is therefore:
= 6.2% * 132,900
= $8,239.80
There are no limits for Medicare so Chris will pay taxes on the whole amount he earned of $ 142,000.
Medicare = 1.45% * 142,000
= $2,059
FICA tax = Social security + Medicare
= 8,239.80 + 2,059
= $10,298.80
make t the subject formula h=square root of 2t-3
The subject formula for t in equation form is "t = (h² + 3)/2".
What is the equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.
Given, the subject formula h=square root of 2t-3
Since h = √2t-3
thus solving the equation for t
h² = 2t - 3
2t = h² + 3
t = (h² + 3)/2
Therefore, the Simplified form of the given equation in the terms of t is "t = (h² + 3)/2"
Learn more about equations here:
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Kris has 3 daughters who all live in different cities across Georgia. She wants to live somewhere that is an equal distance from each of her daughters. She mapped out the 3 cities and drew a triangle connecting them. How can she find a point on the map that is an equal distance from all 3 cities?
construct the incenter
construct the orthocenter
estimate the best place
construct the circumcenter
===========================================================
Explanation:
Consider triangle ABC. The vertex points are at A,B,C. These represent the three cities in which the three different daughters live. Constructing the circumcenter will produce a circle such that all three points A,B,C are on that circle. Let's say that D is the center of that circle.
This means that AD, BD, CD are all radii of this same circle. Radii of the same circle are the same length, which is why point D is equally distant from A,B,C. If the mother lives at point D, then she will travel the same distance to visit any three of her daughters. See the note below.
To construct the circumcenter, we form perpendicular bisectors to segments AB, BC and AC. Technically you only need two of them. All three of these perpendicular bisectors intersect at point D.
-------------
Note: Keep in mind that roads aren't completely straight, so that means we'll have to factor in the curvature of each road. But to keep things simple, we assume each road is a straight line segment.
I WILL MARK BRAINLIEST PLEASE HELP ASAP!!!!! Sketch a new graph of this relationship. The equation is y=7/4x
Answer:
Step-by-step explanation:
Plz help now
We toss a die 4 times. among all possible outcomes how many have at least one occurrence of 1?
Answer:
4/24
Step-by-step explanation:
The Acosta family went out to dinner. The price of the meal was $79.85. If the tip was 15%. How much money did the Acosta family pay for the meal, including tip?
A) $91.83
B) $67.87
C) $11.98
D) $94.85
Answer:
the Smith family pay for the meal = $ 36.39Step-by-step explanation:
The Smith family went out to dinner . The price of the meal was $ 29.85 .
The sales tax was 6 % of the price of the meal .
LEts find sales tax amount sales tax amount = price of meal *
sales tax 6 % ( 0.06 ) = 29.85 * 0.06 = 1.791 sales tax amount = 1.791
Price of the mean with sales tax = 29.85 + 1.791 = 31.641
The tip was 15 % of the meal and the sales tax now we find out tip amount for 31.641 15 % is 15 / 100 = 0.15
Tip amount = 31.641 * 0.15 = 4.74615
Now we add the top amount with 31.641 31.641+ 4.74615 = 36.38715
the Smith family pay for the meal = $ 36.39
Robin has read 3/4
of a book. Mark said he had read 1/2
as much as Robin. What fraction of the book has Mark ready?
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
3/4 × 1/2 = 3/8I hope this helps!
The dinner bill came to $24.29 before tax and tip. If the taxes were 6% and they decided to leave an 18% tip, what was the total cost of the dinner?
Answer:
$30.64 +6% tax and 18% tip
Step-by-step explanation:
Hope it helps
Lauren took 12 hours to read a 360 page book use the unit rate to determine how many hours it will take her to read 150
HELPP PLEASEE
Answer:
360 divied by 2.4 = 150
Step-by-step explanation:
what is the appoximate distance between points d and e round your answer to the nearest hundreth
3(2h+5)+4 so i dont get what it is, can someone help please?
Answer:
An linear equation in one variable
Step-by-step explanation:
Variable:h
Equation:6h+19
Find the value of x.
Answer:
Step-by-step explanation:
8/18=x/24
18x=192
x=10.667(correct to three decimal places)
Which combinations hold the same amount of liquid as a 14-cup jug?
Answer:
b
Step-by-step explanation:
hbjbmnbbbbbbbbbbbbbbbbbbbbbbbbbbbbhbbbbbbbbbbbbbbb
PLEASE HELPPPPPPPP....?.......
If a+b=15 and ab=54 then find
1)
[tex] {a}^{2} + {b}^{2} [/tex]
2)
[tex](a - b )^{2} [/tex]
3)
[tex]a ^{2} - {b}^{2} [/tex]
Answer:
a = 9
b = 6
I hope you can do the rest yoyrself, as I coulsnt find how to type it out ;-;
Answer:
1) 117
2) 9
3) 45 or -45
Step-by-step explanation:
a=9
b=6
1) a²+b²=9²+6²=81+36=117
2) (a-b)²=(9-6)²=3²=9
3) a²-b²=81-36=45
It’s also possible that a=6 and b=9, in which case
1) (same)
2) (same)
3) 36-81=-45
In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 5%. To the nearest 100 people, what was the population in 2020?
Answer:
172000
Step-by-step explanation:
Population growth from 2010 to 2015 if population increased by 8% =
1.08 x 168,000. = 181440
Population growth from 2015 to 2020 if population decreased by 5% =
0.95 x 181440 = 172,368
Rounding off to the nearest 100 people = 172,000
The population in the year 2020 is 172,368.
Calculation of the population in 2020:Since
In 2010, the population of a city was 168,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 5%.
So,
[tex]= 168000 \times 1.08 \times 0.95[/tex]
= 172,368
hence, The population in the year 2020 is 172,368.
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10 Factorise completely
a 6x2 + 18x
b 8y3 – 2y4
c 16xy – 8xy?
8 Expand and simplify
a 4(x + 3) + 7(x - 1)
b x(x – 6) – x(4x – 2)
C x(3x2 + 4) + 2x(5x2 + 9)
how do u do this and what's the answers?plsss helpp
Step-by-step explanation:
Factorise completely
a 6x2 + 18x
Common factors
6x(x+3)
b 8y3 – 2y4
2y^3(4-y)
c 16xy – 8xy?
8xy(2-1)
8xy
8 Expand and simplify
a 4(x + 3) + 7(x - 1)
4x+12+7x-7
11x+5
b x(x – 6) – x(4x – 2)
x^2-6x-4x^2+2x
-3x^2-4x
-x(3x+4)
C x(3x2 + 4) + 2x(5x2 + 9)
3x^3+4x+10x^3+18x
13x^3+22x
x(13^2+22)
find the are of the triangle
Answer:
5 units^2
Step-by-step explanation:
Area of a triangle =
[tex] \frac{bh}{2} [/tex]
plugging in:
[tex] \frac{5 \times 2}{2} [/tex]
[tex] \frac{10}{2} [/tex]
[tex]5[/tex]
Answer:
A=1/2(b)(h)
H= 2 units
b= 5
A= 10×1/2 = 5 units^2
Travis reads 21/4 pages of his history assignment in 7 1/2
minutes. Which TWO statements are correct?
A)
The unit rate is 7 pages per minute.
B)
7
The unit rate is
10
page per minute.
0)
The unit rate is 51 pages per minute.
D)
At the same rate, Travis reads 40 pages in 28 minutes.
E)
At the same rate, Travis reads 60 pages in 28 minutes.
Answer:
its B and E i just did the question and got it right
Answer:
B and D
Step-by-step explanation:
a(-6)=-42
solve for a
Answer:
7
Step-by-step explanation:
Answer:
A = 7
Step-by-step explanation:
You would take -42/-6 because that will tell you what x -6=-42
-42/-6 = 7
Also. you have to remember that a negative divided or multiplied by a negative = a positive
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram,
A
В
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Answer:Hope this helps!
Step-by-step explanation:
The data above can be modeled by the function f(x) = 0.0425x^2 + 0.07381x - 0.49107 . Using this equation, predict the skid distance for a car that is driving 50 mph.
Answer:
f(50) = 109.44943 feet
Step-by-step explanation:
Modeling
The model of a situation where the skid distance f is measured against the car speed x can be expressed as:
[tex]f(x) = 0.0425x^2 + 0.07381x - 0.49107[/tex]
Using this equation, we can predict the skid distance for a car that is driving at x=50 mph by substituting in the equation of the model:
[tex]f(50) = 0.0425*50^2 + 0.07381*50 - 0.49107[/tex]
[tex]f(50) = 106.25 + 3.6905 - 0.49107[/tex]
f(50) = 109.44943 feet
Which statement is correct?
O A.
The opposite of the opposite of 6 is 6.
OB.
The opposite of the opposite of 1 is 1.
O C.
The opposite of the opposite of 3 is 0.
O D.
The opposite of the opposite of 5 is.
Answer:
I think its OB but I'm not sure
Step-by-step explanation:
A motorcar is running at the rate of 66 km per hour. Each
of its wheels makes 500 revolutions per minute. Find the
radius of the wheel.
.(Ans: 35 cm)
Answer:
Given:
The radius of a wheel =r=35 cm=0.35 cm.
The speed it must keep =s=66 km/h=
60
66×1000
m/min=1100 m/min
To find out:
The number of revolution =n, it makes per minute to maintain that speed.
Solution:
The circumference =C of the wheel =2πr=2×
7
22
×0.35 m=2.2 m=C
The distance the wheel covers in 1 min=d=1100 m.
Now the distance =d covered by a wheel in one revolution = the circumference of the wheel.
∴ Here the number of revolution =n=
C
d
=
2.2
1100
=500.
Kevin from Pullman was offered a deal to write story problems for ST2 publishing Company. For every 5 he wrote he was paid $12.00. How much did Kevin get paid per problem?
Answer: $2.40
Step-by-step explanation:
If Kevin gets 12 dollars for every 5 problems, we will need to divide 12 by 5 to find the unit rate; how much Kevin gets for each problem.
12 ÷ 5 = 2.4, and in dollars it is equal to $2.40. Because of this, Kevin is paid $2.40 for each problem he makes for the ST2 publishing Company.
This another nae for fraction or quotient.It can also be written in the forms 'a:b' and a to b', where a and b are numbers.
Answer:
The answer is "Ratio".
Step-by-step explanation:
A ratio indicates how often a number contains a different number. Whenever the calculation of two quantities, as often happens, is indeed a measurement ratio without dimension. It is called a quotient of two volumes, which is calculated by using various units.
It is the relationship among two or more elements of financial reports is calculated by ratios. These also are efficient when the outcomes are presented several times. It allows you to monitor the performance of your company over time and to detect signs of injury.
Which expression is equivalent -6(-2/3+2x0
1. -4-12x
2. -4+2x
3. 4-12x
4. 4+12x
Answer:
3
Step-by-step explanation:
Answer:
Number 3
Step-by-step explanation:
-6( [tex]\frac{-2}{3}[/tex] + 2x) [distribute -6 to [tex]\frac{-2}{3}[/tex] and 2x]
= (-6 × [tex]\frac{-2}{3}[/tex]) + (-6 × 2x)
= (-6 × [tex]\frac{-1}{3}[/tex] × 2) + (-12x)
= (2 × 2) - 12x
= 4 - 12x
Pleasee helpp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
x = 146º
Step-by-step explanation:
the sum of two angles on the same side is 180º
x + 34º = 180º subtract 34º from both sides
x = 146º
please help me on this will give you brainliest!!
Answer:
0.926
Step-by-step explanation:
Since it ask as decimal you will have to 0. and then the number which 926. Hope this helps, thank you !!
Plants must break down the sugar in cells to obtain energy from the food that is produced. What is this
process called?
Respiration
Transpiration
Restoration
O Photosynthesis
Help
Answer:
Restoration I believe
I'm so sorry if I'm wrong
Step-by-step explanation:
Answer:
photosynthesis
Step-by-step explanation:
19.- Según la gráfica ¿Cuál es la rapidez media entre 4 s y 8 s?
A. 8 m/s
B. 1 m/s
C. 0,5 m/s
Answer:
B. 1m/s es la respuesta correcta
Simplify the expression:
-10(32-6)
—————
3
Answer: -260
Step-by-step explanation:
Answer:
-260
Step-by-step explanation:
First, we have to distribute -10 to 32 and -6, since 32 - 6 is in parentheses.
So, the expression becomes -320 + 60, because -10 × 32 = -320 and -10 × -6 = 60.
So, -320 + 60 = -260