Answer:
23.1%
Step-by-step explanation:
Given data
monthly taxable income was $3276.54
Tax= $757.24
Percentage of tax paid= tax paid/monthly income* 100
Percentage of tax paid=757.24/3276.54* 100
Percentage of tax paid=0.231* 100
Percentage of tax paid=23.1%
Camden's gross pay is $2000. Camden gets pald every 2 weeks. Camden's Federal withholding is 15.6% of his gross pay, Social Security is 6.2% of his
gross pay, and Medicare is 1.45% of his gross pay. Find Camden's net pay.
Answer:
1535
Step-by-step explanation:
camdens net pay will be 1535
if S_1=1,S_2=8 and S_n=S_n-1+2S_n-2 whenever n≥2. Show that S_n=3⋅2n−1+2(−1)n for all n≥1.
You can try to show this by induction:
• According to the given closed form, we have [tex]S_1=3\times2^{1-1}+2(-1)^1=3-2=1[/tex], which agrees with the initial value S₁ = 1.
• Assume the closed form is correct for all n up to n = k. In particular, we assume
[tex]S_{k-1}=3\times2^{(k-1)-1}+2(-1)^{k-1}=3\times2^{k-2}+2(-1)^{k-1}[/tex]
and
[tex]S_k=3\times2^{k-1}+2(-1)^k[/tex]
We want to then use this assumption to show the closed form is correct for n = k + 1, or
[tex]S_{k+1}=3\times2^{(k+1)-1}+2(-1)^{k+1}=3\times2^k+2(-1)^{k+1}[/tex]
From the given recurrence, we know
[tex]S_{k+1}=S_k+2S_{k-1}[/tex]
so that
[tex]S_{k+1}=3\times2^{k-1}+2(-1)^k + 2\left(3\times2^{k-2}+2(-1)^{k-1}\right)[/tex]
[tex]S_{k+1}=3\times2^{k-1}+2(-1)^k + 3\times2^{k-1}+4(-1)^{k-1}[/tex]
[tex]S_{k+1}=2\times3\times2^{k-1}+(-1)^k\left(2+4(-1)^{-1}\right)[/tex]
[tex]S_{k+1}=3\times2^k-2(-1)^k[/tex]
[tex]S_{k+1}=3\times2^k+2(-1)(-1)^k[/tex]
[tex]\boxed{S_{k+1}=3\times2^k+2(-1)^{k+1}}[/tex]
which is what we needed. QED
Which of the following is the product of the rational expression shown below 2/x+2•5/3x
Answer:
[tex]\frac{16}{3}[/tex]x
Step-by-step explanation:
2/x = 6/3x
6/3x + 10/3x = 16/3x
Answer:
10/(3x^2+3x)
Step-by-step explanation:
Find the probability of each event.
1) An archer has a 25% chance of hitting the
bullseye on a target. What is the
probability that the archer will hit the
bullseye exactly three out of five times?
Answer: Don’t listen to the other comment it’s a scam. It’s 15 percent. Or 0.15
Step-by-step explanation:
Can someone help me daughter I just wanna see who helps her
Answer:
Yes.
Step-by-step explanation:
The total amount needed is the amount per teacher x the volume of the water bottles.
16 x 9 = 144
since one gallon is 128 ounces,
144/128 = 1.125 = 1 1/8
Since 1 1/8 is less than 1 1/2, there is enough water.
Find the mean absolute deviation of the set of data. Round your answer to two
decimal places.
78, 45, 60, 33, 84

The square of a number, x, is 16 less than eight times the number. What is the number?
Answer:
4
Step-by-step explanation:
x² = 8x - 16
x² - 8x + 16 = 0
(x - 4)² = 0
x = 4
HELP MEEEEEEE PLEASE
Answer:
3 option
Step-by-step explanation:
Answer:
2s
Step-by-step explanation:
Twice means multiplicaiton of 2
So the answer is 2s
One method for straightening wire before coiling it to make a spring is called "roller straightening." The article "The Effect of Roller and Spinner Wire Straightening on Coiling Performance and Wire Properties" (Springs, 1987: 27–28) reports on the tensile properties of wire. Suppose a sample of 16 wires is selected and each is tested to determine tensile strength (N/mm2 ). The resulting sample mean and standard deviation are 2160 and 30, respectively. a. The mean tensile strength for springs made using spinner straightening is 2150 N/mm2 . What hypotheses should be tested to determine whether the mean tensile strength for the roller method exceeds 2150? b. Assuming that the tensile strength distribution is approximately normal, what test statistic would you use to test the hypotheses in part (a)? c. What is the value of the test statistic for this data? d. What is the P-value for the value of the test statistic computed in part (c)? e. For a level .05 test, what conclusion would you reach?
Answer:
We accept H₀, we don´t have enough evidence to claim that the procedure improves the tensile strength above the peviuos average
Step-by-step explanation:
Information:
μ = 2150
Sample size n = 16
Sample mean x = 2160
Sample standard deviation s = 30
a) Test Hypothesis
Null Hypothesis H₀ x = μ
Alternative Hypothesis Hₐ x > μ
b) If Tensile strength is approximately normal distribution we should use t-student statistic for testing the above hypothesis.
t(s) = ?? with df = n - 1 df = 15
c) t(s) = ( x - μ ) / s/√n
t(s) = ( 2160 - 2150 ) / 30/√16
t(s) = 10*4 / 30
t(s) = 1,33
d) In t-student we look for p-vale for 1,33 and df = 15
p-value = 0,1
e) If the level of significance is 0,05, then α/2 = 0,025
we compare p-value and level of significance
p-value 0,1 > 0,025
Then p-value is bigger than the significance level, we should accept H₀
A company makes wax candles in the shape of a cylinder. Each candle has a radius of 3 inches and a height of 2 inches. How much wax will the company need to make 270 candles?
Use 3.14 for pie and do not round your answer.
Answer:
[tex] 15,260.4 \: {in}^{3} [/tex]
Step-by-step explanation:
Radius of candle = 3 inches
Height of candle = 2 inches
Wax needed to make one candle = Volume of one cylindrical candle
[tex] =\pi r^2 h[/tex]
[tex] =3.14(3)^2 (2)[/tex]
[tex] =56.52\: in^3 [/tex]
Volume of wax needed to make 270 candles
[tex] = 270 \times wax\: needed \: to\:make \: one \: candle \\ \\ = 270 \times 56.52 \\ \\ = 15,260.4 \: {in}^{3} [/tex]
what is a diagonal through the interior of the cube?
Answer:
A cube has 6 faces and on each face there are two diagonals joining nonadjacent vertices and there are 4 diagonals through the interior of the cube. Thus in total there are 6×2+4=16 diagonals in a cube. In this cube, the diagonals through the interior of the cube are. AH, CF, DE and BG.
Step-by-step explanation:
Write the equation in standard form for the circle with center (0,
–
8) and radius 2
19.
Use this link to find your answer
https://lalinks.org/linksweb
Can someone help me out with this?? It’s due soon...
Suppose that the weights of 3200 registered female Great Danes in the United States are
distributed normally with a mean of 115 lb. and a standard deviation of 5.4 lb.
Approximately how many of the Great Danes weigh more than 125.8 lbs.? Round to the nearest
whole number.
Answer:
794
Step-by-step explanation:
125.8•5.5+115
679.3+115
794
I hope this helps you
Approximately 73 Great Danes weigh more than 125.8 lbs.
Mean [tex]\mu[/tex]=115 lb.
Standard deviation [tex]\sigma[/tex] =5.4 lb.
What is a z-score?Z-score depicts how much a given value differs from the standard deviation.
[tex]z=\frac{x-\mu}{\sigma}[/tex]
[tex]z=\frac{125.8-115}{5.4}[/tex]
[tex]z=2[/tex]
From the standard normal table P-value corresponding to z=2 i.e. P(x>125.8) = 0.02275
Total population =3200
3200*0.02275 = 72.8 ≈73
Thus, approximately 73 Great Danes weigh more than 125.8 lbs.
To get more about the z-score visit:
https://brainly.com/question/25638875
If ΔABC is similar to ΔDEFand EF = 6y, which represents the length of DF ?
Options
3y + 3
3y + 9
4y + 7
4y + 16
Answer:
Length of DF = 3y + 9
Step-by-step explanation:
Given:
ΔABC is similar to ΔDEF
Line EF = 6y
Find:
Length of DF
Computation:
Given that ΔABC is similar to ΔDEF
So,
Line BC similar to Line EF
Line BA similar to Line ED
Line AC similar to Line DF
Common factor = EF/BC
Common factor = 6y/2y
Common factor = 3
So,
Line AC similar to Line DF
So,
DF = 3[AC]
Length of DF = 3[y+3]
Length of DF = 3y + 9
Liam and Michael are going to play video games this afternoon. Together, they have 38 video games. If they decide to randomly choose two video games, what is the probability that the two they choose will consist of each of their favorite video games? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The probability that the Liam and Michael are 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.
Liam and Michael are going to play video games this afternoon.
Then, Liam going to play video games = 38
Michael going to play video games = 2
In 38 video games and 2 video games are exactly what Liam and Michael need.
So,
We can write,
Probability = [tex]\frac{2C_{2} }{38C_{2} }[/tex]
As only one case is possible,
That is, [tex]2C_{2}[/tex] = 1
Probability = 1/(38!/(38-2)!2!)
= 1/(38!/36!2!)
=( 2! * 36! )/38!
= (2! * 36! )/38!*37!*36!
= 2!/38!37!
= 1/19!37!
= 1/703
= 0.001422
Rounding to nearest million ( 5 decimal )
Required probability = 0.001422
Therefore,
The probability 0.001422 as a fraction in lowest terms or a decimal rounded to the nearest millionth is 5 decimal.
To learn more about information visit Probability :
brainly.com/question/28730701
#SPJ1
can someone help me with these plz
j - 5 = q
What is J and Q?
Answer:
There might be more to this problem that not included?
Based on the question written, J and Q would be anything that is mathematically supported.
I could a virtually endless combination, that's why I think we may be missing part of the question.
Here are some solutions:
J=11, Q = 6 11-5=6
J=12, Q= 7 12-5=7
J= 7, Q = 2 7-5=2
J = 162, Q = 157 162-5=157
if the submarine travels 518 kilometers in 14 hours, how many kilometers does the submarine travel in 1 hour
Answer:
37 km
Step-by-step explanation:
Answer:
37kph
Step-by-step explanation:
518/14=37
Evaluate 5/8 × 5/9 Give your answer in its simplest form.
Answer:
[tex] \frac{5}{8} \times \frac{5}{9} \\ = \frac{5 \times 5}{8 \times 9} \\ = \frac{25}{72} \\ = 0.3472[/tex]
Answer:
25 / 72
Step-by-step explanation:
5/8 x 5/9 =
5 x 5 / 8 x 9 =
25/72
A car gets 32 miles per gallon . The function is d(x) = 32x represents the distance d(x) , in miles , that the car can’t travel with x gallons of gasoline. The tank holds 17 gallons.
Answer:
[tex]Domain: [0,17][/tex]
[tex]Range:[0,544][/tex]
Step-by-step explanation:
Given
[tex]d(x) = 32x[/tex]
Maximum gallon = 17
Required
Determine the domain and range --- This completes the question
If the maximum is 17 (i.e. at full capacity) then the minimum is 0 (i.e. when empty)
So, the domain is:
[tex]Domain: [0,17][/tex]
To calculate the range, substitute 0 and 17 for x in [tex]d(x) = 32x[/tex]
[tex]d(0) = 32 * 0 = 0[/tex]
[tex]d(17) = 32 * 17 = 544[/tex]
So, the range is:
[tex]Range:[0,544][/tex]
Let A and B be two events. Suppose the probabilities P(A) = 0.5, P(
A and B) = 0.2
and P((AUB)') = 0.4. What is P(B)?
Answer:
[tex]P(B) = 0.3[/tex]
Step-by-step explanation:
We use the following formula for Venn probabilities to solve this question.
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
P((AUB)') = 0.4
This means that:
[tex]P(A \cup B) = 1 - P(A \cup B)' = 1 - 0.4 = 0.6[/tex]
We also have that:
[tex]P(A) = 0.5, P(A \cap B) = 0.2[/tex]
What is P(B)?
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]0.6 = 0.5 + P(B) - 0.2[/tex]
[tex]0.3 + P(B) = 0.6[/tex]
[tex]P(B) = 0.3[/tex]
Rewrite the expression by combining like terms.
8y^2 + 7xy – 2y^2 - 5xy + 2x
6y²+2xy+2x
Step-by-step explanation:
8y²-2y²=6y²
7xy-5xy= 2xy
2x=2x
phil worked 5 days more than jill. together they worked 25 days. how many days did each work?
NO LINKS
Mark wants to put a circular pool in his backyard. The pool has an area of 379.94 square feet. If his backyard is 10 x 15 feet, will the pool fit? Use 3.14 for pi
Answer:
no, the backyard is only 150 square ft. so a pool with an area of 379.94 square ft will not fit
Step-by-step explanation:
10×15=150
Jon is taking a 625 mile trip, on the first day he drove 183 miles. How many more miles does he need to drive???
Answer:
442
Step-by-step explanation:
624-183= 442 he needs to drive 442 miles more
Find the surface area of the Triangular prism.
A = bh
A = 1/2(bh)
Answer:
Surface area of triangular prism =1/2(bh)
=1/2(3*4)
=6
Please this is due in 10 minutes i need help.
Answer: B. V=(1/2)(4)(1.5)(6)
Step-by-step explanation:
The formula for Volume of triangular prism:
V=bh
b=the triangle (area of a triangle)
h=height of the triangular prism
V=bh
V=(1/2)(4)(1.5)(6)
Hope this helps!! :)
Please let me know if you have any questions
Two variables are said to interact when ____. a. the two variables are differentially affected by a third variable b. both variables produce a change in the subjects' scores c. both variables are equally influenced by a third factor d. the effect of one independent variable depends on the levels of the second variable
Answer:
a.) the effect of one independent variable depends on the levels of the second variable
Step-by-step explanation:
In regression, an interaction effect comes to play whenever the effect that an independent variable has on a dependent variable changes, as regards to value(s) of other independent variables( one or more variables). The variables that give interaction effect as a result of interaction with each other is reffered to as "interacting variables" For instance, in a research whereby how "Male gender versus female gender" and their " dieting B and dieting D" influence their " weight loss" There would be interaction effect in a situation where by a " female gender" that operate on " diet B" shed more weight compare with " male gender" that operate on " diet B". It should be noted that two variables are said to interact when the effect of one independent variable depends on the levels of the second variable
please help ASAPPPPP 13 points
Answer:
x^5/3y^1/3- 2nd option
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Just divide the exponent by 3