a) The taxes to be paid for someone with a taxable income of $39,000 are of: $4,680.
b) The piece-wise function is defined as follows:
f(x) = 0.1x, 0 ≤ x ≤ 10275;f(x) = 1027.5 + 0.12(x - 10275), 10276 ≤ x ≤ 41175.f(x) = 4941 + 0.22(x - 41175), 41176 ≤ x ≤ 89075.f(x) = 19596.5 + 0.24(x - 89075), 89076 ≤ x ≤ 170050.f(x) = 40812 + 0.32(x - 170050), 170051 ≤ x ≤ 215950.f(x) = 69104 + 0.35(x - 215950), 215951 ≤ x ≤ 539900.f(x) = 188965 + 0.37(x - 539900), x > 539901.c) The tax rates are used as the slope for each linear definition of the piece-wise functions, while the bounds of the intervals are used to calculate the intercept.
How to obtain the amount of taxes owed and how to define the piece-wise function?The amount of taxes owed is obtained applying the proportion of the tax rate relative to the annual salary.
The tax rate for a taxable income of $39,000 is of 12%, hence the amount is given as follows:
0.12 x 39000 = $4,680.
The piece-wise functions for this problem are all derived considering the intervals with the tax brackets,
For the first tax bracket, the proportion is merely applied, as follows:
0.1x, 0 ≤ x ≤ 10275;
For each bracket, starting on the second, the maximum tax rate of the previous rate is calculated, and added to the excess of the income relative to the maximum of the previous tax bracket multiplied by the proportion.
For the first tax bracket, the maximum income is of:
$10,275.
The maximum tax of the first tax bracket is of:
0.1 x 10275 = 1027.5. -> the maximum value of the nth bracket is the starting value of the nth+1 bracket.
Then the function for the second bracket rate is obtained as follows:
f(x) = 1027.5 + 0.12(x - 10275), 10276 ≤ x ≤ 41175.
The same procedure is applied to any of the remaining brackets, taking the previous bracket to obtain the function.
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A researcher obtains z = 1.80 for a one-sample z test. What is the decision for this test at a .05 level of significance?
Group of answer choices
a. to reject the null hypothesis
b. to retain the null hypothesis
c. It depends on whether the test is one-tailed or two-tailed.
d. There is not enough information to make a decision.
The decision for this test at a .05 level of significance is not enough information to make a decision the correct answer is (d).
To make a decision for a hypothesis test, we compare the obtained test statistic (in this case, z = 1.80) with the critical value(s) based on the chosen level of significance (in this case, α = 0.05).
For a one-sample z test, if the obtained test statistic falls in the rejection region (i.e., beyond the critical value(s)), we reject the null hypothesis. Otherwise, if the obtained test statistic does not fall in the rejection region, we fail to reject the null hypothesis.
Without knowing the critical value(s) corresponding to a significance level of 0.05 and the directionality of the test (one-tailed or two-tailed), we cannot determine the decision for this test. Therefore, the correct answer is (d) There is not enough information to make a decision.
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If you have a new deck of shuffled cards, what is the probability you will choose an ace? (52 cards, no jokers) A) 1 13 B) 1 2 C) 1 4 D) 1 6
Answer:
B 1/2
Step-by-step explanation:
I looked it up.
But I think it'd be C because there would be 4 aces in the deck, and C has 1/4
Answer: 1/13 is the correct answer.
Step-by-step explanation: You put the total amount of aces, which is four, on the top part of your fraction and the total number of 52 cards on the bottom of your fraction. Since four will divide into both numbers, you simplify 4/52 to get 1/13. 4 divided by four is one. 52 divided by 4 is 13. That is how you get your 1/13 from 4/52. Answer was confirmed correct on the test I took. I hope this helps you! Thanks!
If BD= 14 and CD= 4, then BC= ?
Remember that a segment that connects two points A and B is written as:
AB
Now, assuming that in this case the points B, D, and C are collinear, we can see that C is between B and D.
With this, we can find that BC = 10
Then we can write:
BD = BC + CD
And we know that:
BD = 14
CD = 4
we can replace thest two in the above equation to get:
14 = BC + 4
14 - 4 = BC
10 = BC
We just found that the value of the segment BC is 10.
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Which of the following relations is a function?
A.
(3, 4), (-5, 6), (3, 3), (-8, 2)
B.
(3, 0), (-5, 3), (5, 1), (-5, 5)
C.
(5, 1), (-5, 4), (3, 1), (5, 2)
D.
(3, 4), (-5, 2), (5, 1), (-8, 2)
The relation in this problem that is a function is given as follows:
D. (3, 4), (-5, 2), (5, 1), (-8, 2).
When does a relationship represents a function?To verify whether a relation represents a function, we need to observe if each input is mapped to only one output.
The relationships that are not functions in this problem, along with the justification, are given as follows:
Relationship A: Input 3 is mapped to multiple outputs, 4 and 3.Relationship B: Input -5 is mapped to multiple outputs, 3 and 5.Relationship C: Input 5 is mapped to multiple outputs, 1 and 2.Hence the relationship that is a function is given by option D, as the inputs 3, -5, 5 and -8 are each mapped to a single output.
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Pls help ASAP! 20pts! What is the value of sin N? What is the value of x to the nearest tenth? What is the value of x to the nearest degree?
Answer:
1.
\(C.\\sin(N)=\frac{\sqrt{3} }{2}\)
2.
\(x=82.1\)
3.
x = 18°
Step-by-step explanation:
1. The sine ratio is sin(θ) = opposite/hypotenuse, where θ is the reference angle. When N is the reference angle, we see that side OP with a measure of 5√3 units is the opposite side and side NP with a measure of 10 units is the hypotenuse.
Thus, we can find plug everything into the sine ratio and simplify:
\(sin(N)=\frac{5\sqrt{3} }{10} \\\\sin(N)=\frac{\sqrt{3} }{2}\)
2. We can use the tangent ratio to solve for x, which is tan (θ) = opposite/adjacent. If we allow the 75° to be our reference angle, we see that the side measuring x units is the opposite side and the side measuring 22 units is the adjacent side. Thus, we can plug everything into the ratio and solve for x or the measure of the opposite side:
\(tan(75)=\frac{x}{22}\\ \\22*tan(75)=x\\\\82.10511777=x\\\\82.1=x\)
3. Since we're now solving for an angle, we must using inverse trigonometry. We can use the inverse of the tangent ratio, whose equation is tan^-1 (opposite/adjacent) = θ. We see that when the x° is the reference angle, the side measuring 11 units is the opposite and the side measuring 33 units is the adjacent side. Now we can do the inverse trig to find the measure of x:
\(tan^-^1(\frac{11}{33})=x\\ 18.43494882=x\\18=x\)
Is anyone really good at math?
Answer: 12 cm
Step-by-step explanation:
\(\mathtt{Using\ the \ pythagorean \ theorem: \\}\)
\(a^2+b^2=c^2, \\\ we\ can\ plug\ in\ values\ for\ a,\ b,\ and\ c\)
\(L=a\ and\ M=b\ and\ N=c\)
Therefore,
\(L^2+35^2=37^2\\L^2+1225=1369\\L^2=144\\\sqrt{L^2} =\sqrt{144} \\L=\pm12\\Taking\ only\ the\ positive\ answer,\ we\ get:\\\large\boxed{L = 12cm}\)
We have: L² + M² = N²
=> L² = N² - M² = 37² - 35² = 144 = 12²
=> L = 12
ANSWER: B.12
OK done. Thank to me :3
I’LL GIVE BRAINLIEST PLS
Answer:
yes he is
Step-by-step explanation:
your real estate job pays you 5% commission on your first $50,000 for selling a house and 8% commission on the sale amount over $50,000. if you sold a $75,000 house, how much is your commission.
Answer:
$4,500.00
Step-by-step explanation:
.05(50,000) + .08(75,000-50,000)
2,500 + 2,000
4,500
Answer:
$4500
Step-by-step explanation:
You want to know the commission on a $75000 sale if it is 5% on the first $50000 and 8% of the amount over $50000.
CommissionThe amount of commission is found by multiplying the commission rate by the applicable sale amount. For a sale amount x such that x > $50,000, the commission is ...
C = 0.05(50000) +0.08(x -50000) = 0.08x -0.03(50000)
C = 0.08x -1500
The commission on a sale of 75000 would be ...
C = 0.08(75000) -1500 = 6000 -1500 = 4500
Your commission is $4500.
Heather has saved $177 to take with her on the family vacation. she has 51 bills consisting of $1 , $5, and $10 bills. if the number of $5 bills is three times the number of $10 bills, find how many of each bill she has.
Heather has a total of 51 bills consisting of $1, $5, and $10 bills. The number of $5 bills is three times the number of $10 bills. She has a total of $177 saved for the family vacation.
Let's assume the number of $1 bills is x, the number of $5 bills is 3y (since the number of $5 bills is three times the number of $10 bills), and the number of $10 bills is y. We can set up the following equations based on the given information:
1x + 5(3y) + 10y = 177 (equation representing the total amount saved)
x + 15y + 10y = 177
x + 25y = 177 (equation 1)
We also know that the total number of bills is 51, so:
x + 3y + y = 51
x + 4y = 51 (equation 2)
To solve the system of equations, we can multiply equation 2 by 25 and subtract it from equation 1 to eliminate x:
25x + 100y = 1275
-25x - 100y = -1275
0 = -98
Since the resulting equation is inconsistent, there is no solution that satisfies all the conditions. Therefore, there is no way to determine the exact number of each bill that Heather has.
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Write the equation for each line: red, gray, purple, and blue.
red: y = -2x + 3
gray: y = 3x -2
purple: x = 5
blue y = -4
hope this helped <3
A fair coin is flipped 10 times and lands on heads 8 times. Provide a reason to justify the difference between the experimental and theoretical probabilities.
Answer:
You flipped it so good it landed on tails 2 times
Step-by-step explanation:
7(h + k)² - 21(h + k)
factorise completely
What is the range of the following data set? 7.7,8.4,9,8,6,9
Answer:
The range of the set of number 7.7, 8.4, 9, 8, 6.9 is 2.1.
Evaluate the integral. ∫ x sec x tan x dx
The integral is ∫ x sec x tan x dx. We can solve it using integration by parts xln|sec(x) + tan(x)| - x + C
We have u = x, dv = sec(x)tan(x)dx, du = dx, and v = ln|sec(x) + tan(x)|.
The integral is then
Integrating the second part we get:
xln|sec(x) + tan(x)| - x + C
The integral is ∫ x sec x tan x dx. We can solve it using integration by parts. We let u = x and dv = sec(x)tan(x)dx. Then, du = dx and v = ln|sec(x) + tan(x)|. So, the integral becomes xln|sec(x) + tan(x)| - ∫ ln|sec(x) + tan(x)| dx. We can integrate the second part to get xln|sec(x) + tan(x)| - x + C.
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when graphing two variables, if the line slopes upward as you move from left to right then the variables exhibit a positive relationship. true or false
Yes, when graphing two variables and observing an upward slope as you move from left to right, it indicates a positive relationship between the variables.
Do upward-sloping lines indicate a positive relationship between variables?As one variable increases, the other variable also tends to increase. This positive correlation can be visually represented by a line that slopes upward in a graph. It implies that there is a direct and proportional relationship between the variables being studied.
But downward-sloping line indicate a negative relationship, where as one variable increases, the other variable tends to decrease. The slope of the line provides insights into the magnitude and direction of the relationship between the variables.
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area of triangle with
width= 18cm
breadth=14cm
height=11cm
Answer:
99
Step-by-step explanation:
i have all the steps in the comments of ur question
customers experiencing technical difficulties with their wyoming internet cable hookup may call an 1-800 number for technical support. it takes a technician between 30 and 600 seconds to resolve the problem. the distribution of support times follows the uniform probability distribution. (a) what is the expected value time to resolve the problem? (b) what percent of the problems take more than 300 seconds to resolve? (c) what is the standard deviation of the random variable? g
(a) Percentage of problems take less than 300 seconds or 5 minutes =41.77%
(b) 58.23% percent of the problems take more than 300 seconds or 5 minutes to resolve.
(c)The standard deviation of the random variable is 24.49
(b) Takes the technician between 30 seconds to 600 seconds to resolve the problem.
90 seconds = 90/60 = 1.5 minutes
600 seconds =600/60 = 10 minutes
So,
\(\mathrm{x} \sim \mathrm{U}(1.5,10)\\P(x > 5 \min )=?\)
\($$\begin{aligned}& \mathrm{f}(\mathrm{x})=\frac{1}{\mathrm{~b}-\mathrm{a}} ; \mathrm{a} < \mathrm{x} < \mathrm{b} \\& \mathrm{f}(\mathrm{x})=\frac{1}{10-1.5} ; 1.5 < \mathrm{x} < 10 \\& \mathrm{f}(\mathrm{x})=\frac{1}{8.5} \\& \begin{aligned}& \mathrm{P}(\mathrm{X} > 5)=\left(\frac{1}{8.5}\right)(10-5) \\&=\frac{5}{8.5} \\&=0.58823 \\&= 58.23 \%\end{aligned}\end{aligned}$$\)
So, 58.23% percent of the problems take more than 300 seconds or 5 minutes to resolve.
(a) Percentage of problems take less than 300 seconds or 5 minutes = 100-58.23 =41.77%
c) A spread metric for a random variable distribution that identifies how far the values deviate from the anticipated value. It is common to write or X as the random variable σX standard deviation.
where x is given as 600
σ(x)=\(\sqrt{x}\)
substitute the value in above equation we get.
\(\sigma(x)=\sqrt{600} =24.49\)
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A 33 degree angle is a(n)
Answer:
acute
Step-by-step explanation:
Answer:
acute angle
Step-by-step explanation:
89 degrees - = acute angle
90 = right angle
91+= obtuce
180= straight angle
Need help with these 2
Thank you
Also, giving a lot of point because I've asked for a lot of help already only need these last 2
Answer:
19 is 38x - 3y - 34
20 would be yes
A recommended portion of Lee's muesli weighs 75g.
Lee's muesli contains 71% wheat and oats, 26.5% fruit and 2.5% nuts.
a What is the mass of wheat and oats in one portion of Lee's muesli?
b What is the mass of nuts in one serving of Lee's muesli?
Answer:
Total weigh = 75g
a) so the mass of wheat and oats one protion = 75*(71/100) g = 53.25g
b) the mass of nuts in one serving = 75*(2.5/100) g = 1.875g
Step-by-step explanation:
Here I think mass = weigh, as it's not physics.
Solve the inequality and enter your solution as an inequality.
X-4<6
Answer:
x < 10
Step-by-step explanation:
Given: x -4 < 6
Add four to both sides: x < 10
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
LEGIT BEG PLEASE HELP
Answer:
help with what problem?
Step-by-step explanation:
Answer:
Sure
Step-by-step explanation:
How do we convert 1 g/cm3 to kg/m3
The units g/cm3 and kg/m3 are both used to express the density of a material, which is a measure of its mass per unit volume. Here's how you can convert g/cm3 to kg/m3: Multiply the density in g/cm3 by a conversion factor of 10^-3. Divide the result by a conversion factor of 100^3.
The conversion between g/cm3 and kg/m3 involves multiplying the density in g/cm3 by a conversion factor that takes into account the differences in units of mass (g vs. kg) and volume (cm3 vs. m3).
For example, let's consider the density of water, which is 1 g/cm3. To convert this density to kg/m3, we multiply by 10^-3 to get 0.001 kg/g. Then, we divide by 100^3 to get the final result: 1 g/cm3 * 10^-3 kg/g / 100^3 cm^3/m^3 = 0.001 kg/g * 1/10^9 cm^3/m^3 = 0.001/10^9 kg/m^3 = 1 kg/m^3.This is how you can convert g/cm3 to kg/m3.
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Kim and her mom have some items to donate to families in need for Christmas baskets. They have 100 rolls and 25 pumpkin pies. They want every basket to be exactly the same, and they don't want any leftover food. What is the largest number of baskets that they can make?
Answer:
There will be 25 baskets each container 4 rolls and 1 pumpkin
Step-by-step explanation:
Rolls = 100
Pumpkins = 25
To make every basket to be exactly the same number of rolls and pumpkins,
Find the highest common factor of 100 and 25
100 = 1, 2, 4, 5, 10, 25, 50, 100
25 = 1, 5, 25
The highest common factor of 100 and 25 is 25
Rolls = 100
= 100/25
= 4
Pumpkins = 25
= 25/25
= 1
Therefore,
There will be 25 baskets each container 4 rolls and 1 pumpkin
is y=x+1 proportional relationship?
Understand that a relationship between two variables, x and y, is proportional if it can be expressed in the form yx = k or y = kx. Distinguish proportional relationships from other relationships, including inversely proportional relationships (xy = k or y = kx).
For example: The radius and circumference of a circle are proportional, whereas the length x and the width y of a rectangle with area 12 are inversely proportional, since xy = 12 or equivalently, y = 12x.
Benchmark: 7.2.1.2 Graph of a Proportional Relationship
Understand that the graph of a proportional relationship is a line through the origin whose slope is the unit rate (constant of proportionality). Know how to use graphing technology to examine what happens to a line when the unit rate is changed.
Understand the concept of proportionality in real-world and mathematical situations, and distinguish between proportional and other relationship
On a seperate piece of paper, tell whether y is directly proportional to x. If
so, find the constant of proportionality. Then write a direct proportion
equation.
WILL GIVE BRAINLIEST PLS HELP
look at picture
dont pay attention to what drawn in red
3 is what percent of 2
Answer:
The answer is 0.06
Step-by-step explanation:
do you have my answer plz help plz
hellllllp asap!!!!!!!!!!
Answer:
the answer should be 5.1
Step-by-step explanation:
If we wanted to analyze the variables Birth Rate and Death Rate at the same time, what would be appropriate to use? Mark all that apply..
- two-way table
- scatterplot
- boxplots
- histogram
- split bar chart
- stacked bar chart
The appropriate methods for analyzing the variables Birth Rate and Death Rate at the same time would be scatterplot, two-way table, and stacked bar chart.
Scatterplot: A scatterplot can be used to visually display the relationship between two quantitative variables, such as Birth Rate and Death Rate. Each point on the scatterplot represents a pair of values for the two variables, making it easy to identify patterns or trends in the data.
Two-way table: A two-way table can be used to display the distribution of two categorical variables, such as Birth Rate and Death Rate, and how they relate to each other. It can help identify the joint frequency or relative frequency of different categories.
Stacked bar chart: A stacked bar chart can be used to show how two categorical variables, such as Birth Rate and Death Rate, are related to each other. Each bar represents the total frequency for each category, and the bars are divided into sections representing the subcategories of the other variable. This makes it easy to compare the distribution of the two variables across each category.
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purchased a DVD player on sale. The original selling price was $. The sale price was $.
what are the prices?