The couple are owning income tax of $22,996.
What is tax?
Tax is the obligatory payment payable to the government on earnings.
In this case, the amount of tax to be paid is the sum of $9,235 plus 22% of the excess of the combined taxable income of the couple over $80,250.
Excess over $80,250=$142,800-$80,250
Excess over $80,250=$62,550
Initial tax amount=$9,235
extra tax amount=$62,550*22%
extra tax= 13,761
total tax amount=initial tax amount+ extra tax
total tax amount=$9,235+$13,761
total tax amount=$22,996
In essence, the couple would pay an initial tax of $9,235 plus an extra tax of $13,761 which gives a total tax liability of $22,996
Find out more about tax deduction and tax credit on:https://brainly.com/question/17395659
The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 27 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.1 years and a sample variance of 36.0 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls.
Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is SM=_________ .The t statistic is _________. Now suppose you have a larger sample size n 81. Calculate the estimated standard error and the t statistic for this sample with the same sample average and the same standard deviation as above, but with the larger sample size. The new estimated standard error is __________ .The new t statistic is___________
Answer:
a) t-statistic t = 0.9532
b) The standard error S.E = 1.2
c) The new t-statistic = 1.95
d) The new estimated standard error =0.666
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 16
The sample size n=27
The mean of the sample = 17.1
Given that the variance of the sample (S²) = 36.0
The standard deviation of the sample (S) = √36 = 6
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{17.1 -16}{\frac{6}{\sqrt{27} } }[/tex]
t = 0.9532
b)
The standard error is defined by
[tex]S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{27} } =1.154[/tex]
Step(ii):-
c) given that the sample size n = 81
Test statistic
[tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]t = \frac{17.1 -16}{\frac{6}{\sqrt{81} } }[/tex]
t = 1.65
d)
The new standard error is defined by
[tex]S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{81} } = 0.66[/tex]
A school psychologist notes that the average number of times that students are disruptive during class is 1.4 [μ=1.4] times per day. Following recent classroom policy changes, the psychologist tests if the number of disruptions during class has changed. He records the following number of disruptions observed during a class day: 2, 4, 3, 5, 1, 1, and 4.
A. Test the hypothesis that the number of complaints has increased or decreased using a .05 level of significance.
B. Compute effect size using estimated Cohen's d.
Answer:
Reject the Null ;
0.928
Step-by-step explanation:
Given the data: 2, 4, 3, 5, 1, 1, 4
Sample mean = (2 + 4 + 3 + 5 + 1 + 1 + 4) / 7 = 2.857
Standard deviation, s = 1.57 ( using calculator)
The hypothesis :
H0 : μ = 1.4
H1 : μ ≠ 1.4
Since sample size is small, use T test
Test statistic :
Tstatistic = (x - μ) / s/sqrt(n)
Tstatistic = (2.857 - 1.4) / 1.57/sqrt(7)
Tstatistic = 1.457 / 0.593 = 2.455
Two tailed test at α = 0.05
Tcritical at df = 7-1 = 6 ; α = 0.05 = 2.447
Tstatistic > Tcritical ; reject the null
Since ;
2.455 > 2.447 ; we reject the null ;
There is significam evidence that Number of complaints has changed.
Effect size ;
d = (x - μ) / s
d = (2.857 - 1.4) / 1.57
d = 1.457 / 1.57
d = 0.928
ORDER OF OPERATIONS
14 + 28 ÷ 4 − 2*4=
(64 + 6) ÷ 5 − 3*2=
(27 − 7) ÷ 2*2 =
5*2 × (20 ÷ 5) =
Answer:
pmdas perenthisis multiply divide add subtract
Step-by-step explanation:
Answer: 1. 13
2. 8
3. 20
4. 40
Step-by-step explanation:
The ice cream store offers schools a discount of 12% for the month of June. The school decides to purchase ice cream bars for the end of the year picnic.
a. How much money would the school save if the school purchased 55 boxes of ice cream? Show your work and write your answer in the space below.
b. What is the total price with the discount for 55 boxes of ice cream?
PLS HELP ME!!!
Answer:
Divide the number of ice-cream bars into the number of people. Example: say you have 20 ice cream bars and 10 people you divide 20/10 and get 2 ice cream bars per person
Step-by-step explanation:
Are you also a simp for draco? :3
The perimeter of a rectangle is 180 cm. The length is 3 times more than the width. What
is the length of the rectangle
Answer:
67.5,
Step-by-step explanation:
22.5x3 =67.5, P=2(l+w)=2·(22.5+67.5)=180
I need a answer right now I’ll give you points!
Answer:
G. 118⁰100% right answer
Answer:
G. 118°
Step-by-step explanation:
Imagine a line, parallel to AD, that passes through B to a point x on the line CD.
∠CBX=∠CAD=28 (corresponding angles)
∠EBX=90 (BX║ED, BE║XD)
∠CBE=∠CBX+EBX
∠CBE=28+90
∠CBE=118°
1/2 to the 2nd power plus 1/2 to the 2nd power
Answer:
1/2
Step-by-step explanation:
([tex]\frac{1}{2}[/tex])² + ([tex]\frac{1}{2}[/tex])² = 1/4 + 1/4 = 2/4 or 1/2
Evan is collecting Pokemons. After getting 10 more pokemons, he has 50 pokemons in total. Select all the equations Evan can solve to find x, the number of Pokemons he started with. Circle the correct answers. Make sure you click submit or it won’t count!
Answer:
50 - 10 = 40 = x
Good luck!
Answer:
40
Step-by-step explanation:
50-10=40=x
40+10=50 40=x
HELP!! I will give you brainliest
A 34 foot tall poll is supported by 2 wires that are anchored 8 feet from the base of the pole how many feet or wire is needed for the support wires
Using the Pythagorean theorem:
Length of wire = sqrt(34^2 + 8^2)
Length of wire = sqrt(1156 +64)
Length of wire = sqrt(1220)
Length of wire = 34.9285 feet
There are 2 wires:
34.9285 x 2 = 69.857 feet
Round off as needed.
Answer:
34.93 feet
Step-by-step explanation:
Using a^2+b^2=c^2
we can substitute a and b in which is
34^2+8^2=c^2
1156+64=c^2
1220 = c^2
Now we need to square both sides
√1220 = √c^2
34.9284983931 ----> 34.93
34.93 = c
c = 34.93
Would a scatter plot showing the size of a swimming pool and the amount
of water to fill it show a positive, negative, or no relationship?
Answer: a scatter plot
Step-by-step explanation:
Answer:
Positive
Step-by-step explanation:
As size increases, amount of water to fill it would obviously increase. This means there is a positive increase, meaning that the correlation would be positive.
math help #6 plzzzzz
Answer:
x = 30
m<2 = 94°
m<3 = 94°
Step-by-step explanation:
✔️m<2 = m<3 (vertical angles)
4x - 26 = 3x + 4 (substitution)
Collect like terms
4x - 3x = 26 + 4
x = 30
✔️m<2 = 4x - 26
Plug in the value of x
m<2 = 4(30) - 26
m<2 = 94°
✔️m<3 = 3x + 4
m<3 = 3(30) + 4
m<3 = 94
12. y. y. y
What is the variable?
Answer:
Step-by-step explanation:
Answer:
y^3
Step-by-step explanation:
12.y. y. y= 12y^3
variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. So basically a variable is the letter in the equation
What is the absolute value?
Answer:
228
Step-by-step explanation:
absolute value is total steps away from zero. it's always positive. so the abs of a negative number is just the positive of that number.
Answer:
228
Step-by-step explain
The absolute value is the distance. ... If there is an absolute value of a negative number (l-6l), the distance of it away from zero cannot be a negative distance. So if the distance is always positive, then the absolute value will always be positive.
please help, I legit don't know what to do
Answer:
Step-by-step explanation:
Graph given in the attachment represents a linear function f(x).
y = -f(x) represents the reflection of the graph across x-axis.
Therefore, y-coordinates of the points on the graph will get opposite notation after the reflection across x-axis.
Points on the graph of function f(x) are,
(0, -2), (2, 0), (4, 2) and (5, 1)
Therefore, points for the graph y = -f(x) will be,
(0, 2), (2, 0), (4, -2) and (5, -1)
Now we can plot these points to get the graph of y = -f(x)
In your own words describe the relationship between wave frequency and the energy of the wave!!! YOUR OWN WORDS please
*＊✿❀ ❀✿＊**＊✿❀ ❀✿＊**＊✿❀ ❀✿＊**＊✿❀ ❀✿＊**＊✿❀ ❀✿＊*
Answer:
Hey! :)
Step-by-step explanation:
You could create a wave with a higher frequency on a rope by wiggling up and down at a faster rate, the wave should become shorter. Clearly you will find a relationship between wave length and frequency :)
＊✿❀ ❀✿＊**＊✿❀ ❀✿＊**＊✿❀ ❀✿＊**＊✿❀ ❀✿＊**＊✿❀ ❀✿＊*
Have a nice day! :)
Please help for instant brainliest.
Answer:
(8, -1)
Step-by-step explanation:
its the point of intersection
Answer:
D
Step-by-step explanation:
the following lines meet up at the poitn (8,-1) which is to answer d
hope this helps
How much should be invested at an interest rate of 5.5% for 20 years to obtain the accumulated amount of
$1,000,000 if the principal was compounded continuously?
Answer: $3004166.02
Step-by-step explanation: Alrighty then so first we need a formula to solve which is A=Pe^rt which is the compounded continously formula you can find online or a textbook. The formula you should use a calculator to solve is $1,000,000e^0.055(20)= $3,004,166.024
Make a table for the rule y= -2x + 5
Answer:
y=5, x=0. that is the first. I'll leave the rest to you.
Step-by-step explanation:
Which expression represents the same relationships shown on the graph? y = x - 6 y = x + 6 y = 6x y= - 6x
111 is 15% of what number
Answer:
16.65
Step-by-step explanation:
15 percent of 111 is the same as 15 per hundred of 111. We can therefore make the following equation:
15/100 = X/111
To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 111, and then finally divide the numerator by the denominator on the right side to get the answer. Here is the work to illustrate:
15/100 = X/111
X/111 = 15/100
X*111/111 = 15*111/100
X = 1665/100
X = 16.65
or
The work above shows the long way to explain how to calculate 15 percent of 111 in order to give you a foundation and better understanding of how to calculate percentage. In the future, you could use this simplified formula:
(Y * P)/100
In our problem "What is 15 percent of 111?", Y is 111 and P is 15:
(111 * 15)/100 = 16.65
And once again you see that the answer is 16.65.
Answer:
740
Step-by-step explanation:
If we substitute "what number" in the question "111 is 15 percent of what number?" with 740, we get this sentence: 111 is 15 percent of 740. Since this statement is true, we know that our answer is correct.
Following shows the steps on how to derive this formula
Step 1: If 15% of a number is 111, then what is 100% of that number? Setup the equation.
111 Y
------ = -------
15 100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
15Y = 111 x 100
15Y = 11100
Y = 11100
100 = 740
Formula = Number x 100 111 x 100
--------------------- = ------------ = 740
Percent 15
Hope this helps
Find the quotient.
12азр+ = -2a?р
-ба Зp 5
3
-24ар
3
-бар
ба 5р 3
Answer:put the questions in order before sloving cuz i don't understand the question .
Step-by-step explanation:
The ratio of the three angles of a triangle is 2:4:6. What is the measure of the
SMALLEST angle?
IS THERE ANYONE THAT WILL HELP WITH THIS PROBLEM AND BRAINLLEST FOR CORRECT PEOPLE
Segment FG is shown. Point F is located at (−5,−4). Point G is located at (3,−4).
Answer the question below.
Answer:
the midpoint is at (-1,-4)
Answer:
-1, -4
Step-by-step explanation:
find the middle of the segment
Pl help it’s for a grade
Answer:
A
Step-by-step explanation:
Answer:
23 m, South
Step-by-step explanation: He traveled 25 m north then he went 48 m south so that means you would have to subtract 25 from 48 to get 23 m, south
Suppose you have just poured a cup of freshly brewed coffee with temperature 90∘C in a room where the temperature is 20∘C.
Newton's Law of Cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. Therefore, the temperature of the coffee, T(t), satisfies the differential equation
dT/dt=k(T−Troom)
where Troom=20 is the room temperature, and k is some constant.
Suppose it is known that the coffee cools at a rate of 1∘C per minute when its temperature is 70∘C.
A. What is the limiting value of the temperature of the coffee?
limt→[infinity]T(t)= ________
B. What is the limiting value of the rate of cooling?
limt→[infinity]dT/dt= _________
C. Find the constant k in the differential equation.
k= _________
D. Use Euler's method with step size h=2 minutes to estimate the temperature of the coffee after 10 minutes.
T(10)= _________
Solution :
A). As the time passes the temperature of the coffee tends to acquire the temperature of the room, so the limiting value of the temperature of the coffee is 20°C. i.e.
[tex]$\lim_{t \to \infty} T(t)=20$[/tex]
B). And limiting value of rate of cooling is given by :
[tex]$\lim_{t \to \infty} \ \frac{dT}{dt} =\lim_{t \to \infty} \ [k(T-T_{room})] $[/tex]
[tex]$=k . \lim_{t \to \infty} (T-T_{room})$[/tex]
[tex]$=k .[ \lim_{t \to \infty} T-\lim_{t \to \infty} T_{room}]$[/tex]
[tex]$=k.[T_{room}-T_{room}]$[/tex]
= k. 0
= 0
C). Given, [tex]$\frac{dT}{dt} = -1, $[/tex] when T(t) = 70° using this in the given equation,
-1 = k.(70-20)
k = -0.02
D). By Euler method, we get
[tex]$T_{n+1}=T_n + h \ f(t_n, T_n)$[/tex]
[tex]$t_{n+1}=t_n +h$[/tex]
where, [tex]$f(t,T) =k(T-T_{room})$[/tex]
= -0.02(T - 20)
We have [tex]$T_0 = 90^\circ$[/tex] at t = 0 and h = 2.
So [tex]$t_1 = 0+2 = 2$[/tex]
∴ [tex]$T_1=T_0 + h \ f(t_0,T_0)$[/tex]
= 90+2[-0.02(90-20)]
= 87.2
At [tex]$t_2 = 2+2 = 4$[/tex]
[tex]$T_2=T_1 + h \ f(t_1,T_1)$[/tex]
= 87.2+2[-0.02(87.2-20)]
= 84.51
At [tex]$t_3 = t_2+2 = 4+2=6$[/tex]
[tex]$T_3=T_2 + h \ f(t_2,T_2)$[/tex]
= 84.51+2[-0.02(84.51-20)]
= 81.93
At [tex]$t_4 = t_3+4 = 6+2=8$[/tex]
[tex]$T_4=T_3 + h \ f(t_4,T_4)$[/tex]
= 81.93+2[-0.02(81.93-20)]
= 79.45
At [tex]$t_5 = t_4+2 = 8+2=10$[/tex]
[tex]$T_5=T_4 + h \ f(t_4,T_4)$[/tex]
= 79.45+2[-0.02(79.45-20)]
= 77.07
So after 10 minutes, the temperature of the coffee will be 77.07°C.
Give a practical interpretation of the estimate of the y-intercept of the regression line. For each additional room in the house, we estimate the appraised value to increase $74,800. We estimate the appraised value for any house to be $74,800. There is no practical interpretation, since a house with 0 rooms is nonsensical. For each additional room in the house, we estimate the appraised value to increase $17,800.
Answer:
The answer is "Option D"
Step-by-step explanation:
Please find the complete question in the attachment file.
House's valued worth (in milles) = 74.80 + 20.81 (number of rooms). It indicates that we will need to pay $ 20810 per additional amount throughout every actual room in the house. It is a complete risk, that becomes forecast to expand $20,810 for every additional part of the house, that's why choice D is correct.
What is the reverse of subtract 849
36-40. The probability that a fatal car accident is alcohol related is over 40%. The probability that a fatal accident happens at night is 5 times more than the probability that it happens during the day.
What should drivers do to stay safe on the road? Write a probability facts that is based in your real life events?
HELPPP I NEED THIS BY 2:30
You bought a book for $5 and four bookmarkers. You spent a total of $13. How much did each bookmarker
cost?
*show work*
Answer:
they each costed $2
Step-by-step explanation:
all you do is take 5 and count how many fingers u have left then u get 2
Answer:
Each book mark is 2 dollars
Step-by-step explanation:
You subtract the $5 from the $13 and that is equal to 8 dollars. Then you divide 8 by the 4 bookmarks and the answer is 2 dollars.