300000
+10000
+5000
+40
=315040
Rafael made 20,000 in taxable income last year. Suppose the income tax rate is 15% for the first 8000 plus 17% for the amount over 8000. How much must Rafael pay in income tax for the last year?
The answer is 3,240
Explanation:
To calculate the total income tax, it is necessary to calculate what is the 15% of 8000, and 17% for the remaining money, which is 12.000 (20,000 - 8,000= 12,000). Considering the statement specifies the 15% is paid for the first 8,000 and from this, the 17% is paid. Now to know the percentages you can use a simple rule of three, by considering 8000 and 12000 as the 100%. The process is shown below:
1. Write the values
\(8000 = 100\)
\(x = 15\) (the percentage you want to know)
2. Use cross multiplication
\(x =\frac{8000 x 15 }{100}\)
\(x = 1200\)
This means for the first 8000 the money Rafael needs to pay is 1,200
Now, let's repeat the process for the remaining money (12,000)
\(12000 = 100\\\\\)
\(x = 17\)
\(x = \frac{12000 x 17}{100}\)
\(x = 2040\)
Finally, add the two values \(1200 + 2040 = 3240\)
Theo solved n + 5 = 11 for the unknown. The steps he took are shown.
He started with 5 tiles.
5 tiles.
Then he added tiles as he counted up to 11.
6 tiles.
He realized he added 6 more tiles to his original 5 to make 11. So he found the unknown to be 6.
How could Theo check his work? Check all that apply.
He could substitute 5 for n in the original equation and add.
He could substitute 6 for n in the original equation and add.
He could subtract 5 from 11 and check that the answer is 6.
He could subtract 11 from 5 and check that the answer is 6.
He could put all the tiles in 1 pile to count them to see if there are 11 in all.
Answer:
the second one, the fourth one, and the fifth one
Step-by-step explanation:
I need help with this
Answer:
scalene
Step-by-step explanation:
Find ad please help aghhhh due today
Answer:
AD = 6m
Step-by-step explanation:
Sin(30) = AD / 12
Sin(30) * 12 = AD
6 = AD
Hope this helps!
Find AD.
\( \sf a. \: 2\sqrt{3} \: m\)
\( \sf b. \: 3 \sqrt{3} \: m\)
\( \sf c. \: 6 \: m\)
\( \sf d. \: 6 \sqrt{3} \)
____________________
Solution :-Given Information :-∠DCB = 30°∠BDC = 90°∠ABC = 90°BC = 12 mTo Find :-The Length of AD Calculation :-Here, Sin θ is 30°
Sin = \( \bf \frac{perpendicular}{hypotenuse} \)
Here, θ is 30°
Substituting the values, We get,
∴ Sin ( 30 ) = \( \sf \frac{AD}{BC} \)
Substituting the value of BC as 12, We get,
⇒ Sin ( 30 ) = \( \sf \frac{AD}{12} \)
Transposing 12 to Left Hand Side, We get,
⇒ Sin ( 30 ) × 12 = AD
Calculating further, We get,
⇒ AD = 6 m
∴ AD = 6 m
____________________Final Answer :-The Length of AD is 6 m
____________________An initial deposit of $50,000 is put into a savings account that has an interest rate of 5.6% compounded continuously. How much will be in the account at the end of 5 years?
How long do animals live? Beluga whole 40 bengal tiger 10 elephant seal 20 giraffe 25 orangutan 35
The time period of the animals life cycles are,
⇒ Beluga whole = 35 years
⇒ Bengal tiger = 10 years
⇒ Elephant = 20 years
⇒ Giraffe = 25 years
⇒ Orangutan = 40 years
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
There are some animals and there ages.
Now,
Since, There are some animals and there ages are given.
Hence, The correct ages of the animals are,
⇒ Beluga whole = 35 years
⇒ Bengal tiger = 10 years
⇒ Elephant = 20 years
⇒ Giraffe = 25 years
⇒ Orangutan = 40 years
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
pls give simple working out
x is 146 degrees
This is because angle y and angle x are supplementary, which means their measures add up to 180 degrees
180 - 34 = 146
Answer: x = 146°
Step-by-step explanation:
Given that y = 35°, Using linear pair
x+y = 180
x+35=180(Substitute value of y)
x=180-35(Transposition Method)
x=145°
In which quadrant does θ lie given that sinθ<0 and cosθ<0?
The third quadrant.⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
θ would lie in Quadrant III
Step-by-step explanation:
Review the attached file
Daisy's Flower Shop sold 135,648 flowers during its first year. The second year, the shop sold 9,751 more flowers than it did its first year. The third year, it sold 1,344 more flowers than it did in the second year.
How many flowers did the shop sell during the three years?
Daisy's Flower Shop sold flowers during the three years.
Answer: 427,790
Step-by-step explanation
first year- 135648
second year - 135648+9751= 145399
third year- 145399+1344= 146743
Add all of them together= 427,790
can you solve this question?
f'(0)=?
The derivative exists at x=0 and its value is 0. So, f'(0) = 0.
Describe Derivative?The derivative of a function can be thought of as the slope of a tangent line to the function's graph at a specific point. This tangent line represents the instantaneous rate of change of the function at that point. The derivative of a function can be used to find critical points, which are points where the function reaches a maximum or minimum value, and to find the concavity of the function, which indicates the direction in which the function is changing.
The derivative can be calculated using different methods, including the limit definition of the derivative, the power rule, the product rule, the quotient rule, and the chain rule. The derivative can also be used to calculate the slope of a curve, the velocity of a moving object, and the acceleration of an object.
To find f'(0) using the definition of a derivative, we need to use the following formula:
f'(a) = lim(h->0) [f(a+h) - f(a)]/h
where "a" is the point at which we want to find the derivative, and "h" is a small value that approaches zero.
In this case, we want to find f'(0). Let's use the formula and simplify the expression:
f'(0) = lim(h->0) [f(0+h) - f(0)]/h
= lim(h->0) [h²sin(1/h)]/h (since f(0)=0)
= lim(h->0) [hsin(1/h)]
Now, we need to evaluate this limit. We can rewrite the limit using the squeeze theorem, which says that if we have two functions, g(x) and h(x), such that g(x) ≤ f(x) ≤ h(x) for all x in some interval, and if lim(x->a) g(x) = lim(x->a) h(x) = L, then lim(x->a) f(x) = L.
In our case, we have:
-1 ≤ sin(1/h) ≤ 1 for all h≠0 (using the fact that -1 ≤ sin(x) ≤ 1 for all x)
-h ≤ hsin(1/h) ≤ h for all h≠0 (multiplying by h, which is always non-negative)
Therefore, by the squeeze theorem, we have:
lim(h->0) -h = 0 = lim(h->0) h
Since both limits are equal, we can conclude that the limit of hsin(1/h) as h approaches 0 exists and is equal to 0.
Thus, f'(0) = 0.
Therefore, the derivative exists at x=0 and its value is 0. So, f'(0) = 0.
To know more about function visit:
https://brainly.com/question/29020856
#SPJ1
The solutions to the given equation can be written in the form m+-squre root K/2, where m and k are integers. What is the value of m + k ?
x^2-4x-9=0
With the given equation, the value of m + k is equal to 656 as K is 648 and the value of is 8
We have been given the equation: x² - 4x - 9 = 0
For finding the root, we need to, x = 8² ± 4AC/2A
When we solve for the following equation, we get: x = -10, 26
now we have been given root (m + √K/2) = 26
= (m/2) + (√K/2) = 26
= √2m + √K = 26√2 ......(1)
= m - √K/√2 = -10
= √2m - √K = -10√2 ......(2)
From equation (1) and (2), we get:
2√2m = 16√2
m = 8
therefore, √K = 26√2 - √2m
√K = 18√2
K = 2 × 18² = 648
Now, m + K = 648 + 8 = 656
Therefore, with the given equation, the value of m + k is equal to 656 as K is 648 and the value of is 8
To learn more about equations, click here:
brainly.com/question/29657983
#SPJ4
any help would be greatly appreciated!!!!
The length of segment BS is given as follows:
BS = 9.
The similarity statement is given as follows:
BUC ~ SUT.
What are similar triangles?Two triangles are defined as similar triangles when they share these two features listed as follows:
Congruent angle measures, as both triangles have the same angle measures.Proportional side lengths, which helps us find the missing side lengths.The similar triangles for this problem are given as follows:
BUC and SUT.
Hence the proportional relationship for the side lengths is:
BU/12 = 6/24
The length BU is obtained applying cross multiplication as follows:
BU/12 = 1/4
4BU = 12
BU = 3.
Then the length BS is obtained with the segment addition postulate as follows:
BS + 3 = 12
BS = 9.
More can be learned about similar triangles at brainly.com/question/14285697
#SPJ1
Please help it says im wrong im giving brainliest
Answer:
ohh
Step-by-step explanation:
Answer:
1:5
Step-by-step explanation:
It is asking you to simplify the ratio, although it gave the unsimplified ratio to you below the diagram.
1/5=3/15
HTH :)
Help pls thank you so much
7 pounds of turkey cost $24.64. What is the price per ounce?
convert 565900 seconds into days
Answer:
1 day = 86400 seconds
565900 divided by 86400 =
Step-by-step explanation:
a little more than 6 days
plz mark brainliest
What is 237 out of 10 in mixed number form
Answer: 23 7/10
Step-by-step explanation:
Need answers please help
Answer
Yes, zero is contained in the interval
Which equation represents exponential growth? A)Y=2x or B)Y=3(5)^ or C)y=4x2 or D)Y= 2(0.5)x
Answer:
B)
Step-by-step explanation:
Why A Doesn't Work:
y=mx+b is a linear equation.
y=2x, y=2x+0 which is a linear equation.
Why C doesn't work:
Anything with x² in it is a parabola. Anything.
4x² is a parabola, not an exponential equation.
Check for yourself on Desmos.
Why D doesn't work:
2(0.5)x
2(0.5) = 1
(1)x = 1x
y=1x, y = 1x+0 = LINEAR
Why B Works:
I do not understand what B is supposed to be, but I suppose it is correct by using the process of elimination.
Hope this helps :)
-jp524
which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
ill mark brainlist plss he,p
Answer:
blue and red
Step-by-step explanation:
hope it helped
Solve for x
5x³-15x²-90x=0
Answer:x=0,6,−3
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero
(See Example 12) A club has 42 members and 17 pledges. The club selects a 5-member executive committee composed of a chair and vice-chair, who must be members, and an advisory committee of 3 pledges. In how many ways can the executive committee be formed?
Since , A club has 42 members and 17 pledges. The club selects a 5-member executive committee composed of a chair and vice-chair, who must be members, and an advisory committee of 3 pledges. The executive committee can be formed in 850668 ways.
a. The number is ⁴²P₅ = 42!/37!
=42×41×40×39× 38 ×37!/37!
=102080160 ways.
b. The number is ⁴²C₅ = 42!/ 5! × 37!
=42× 41× 40× 39 ×38×37!/ 5×4×3×2×1 ×37!
= 850668 ways.
If you have trouble applying concepts, consider pure mathematics. Select 4 objects out of 24 to replace the first problem. Since there is a replacement, it is a permutation. So the answer is ⁴²P₅= 102080160 possibilities. Obviously there can't be a substitute for the next, so it's a combo. So the answer is ⁴²C₅= 850668 ways.
Learn more about Permutation:
https://brainly.com/question/1216161
#SPJ4
true or false: f(x) is a function.
Answer:
false
Step-by-step explanation:
f(x) is not a function. In order to be a function, every x can only be partnered up with one y.
In the diagram shown, 5 is partnered up with both 1 and also 3. If this info was written like points, the points (5,1) and (5,3) would both be on the list (and graph). This makes it not a function.
Because of the TWO arrows going from the 5 (and pointing at TWO DIFFERENT numbers), it's not a function.
El mcd de 36 90 y 18
Answer:
whut
Step-by-step explanation:
describe how a graph would look for the solution set for the inequality in problem 5. describe what the solution means and how the price of the balloons bought will affect the amount in the budget.
A)
i) the inequality to show the number of ballons that the dance committee can buy is: 0.80b + 65 ≤ 125
ii) solving the inequality above, we arrive at b ≤ 75
B) The graph is attached accordingly.
C) See the description of the solution below.
Let's start by defining our variables. Let b be the number of balloons that the dance committee could buy.
The cost of b balloons is $0.80b. We want to make sure that the cost of the balloons plus the amount already spent on decorations ($65) is less than or equal to the budget of $125. So we can write the following inequality:
0.80b + 65 ≤ 125
Now we can solve for b:
0.80b + 65 ≤ 125
0.80b ≤ 125 - 65
0.80b ≤ 60
b ≤ 75
Therefore, the dance committee can buy up to 75 balloons to stay within their budget.
To graph the solution set, we can plot b on the horizontal axis and shade the region to the left of b = 75, since b must be less than or equal to 75.
The solution set represents all possible values of b that satisfy the inequality. In this case, the solution set is b ≤ 75, which means that the dance committee can buy up to 75 balloons and still stay within their budget.
As the number of balloons increases, the cost of the balloons also increases, and the amount of money left in the budget decreases.
Therefore, the more balloons the dance committee buys, the less money they will have left for other decorations or expenses.
Learn more aobut Inequalities:
https://brainly.com/question/30228778
#SPJ1
Full Question:
Since the above question is incomplete, it appears you are referring to the question below.
The dance committee has a budget of $125 to decorate the gym for a spring dance. They already spent $65. Some members want to buy helium balloons that cost $0.80 each.
A) Write and solve an inequality to show the number of balloons that the dance committee could buy.
B) Graph the solution set for the inequality.
C) Describe what the solution means and how the number of balloons affects the amount in the budget.
Convert do you need to the specified equivalent unit round your answer to the nearest 1 decimal place, if necessary
Answer:
There are 59251.5 decigrams in 209 ounces.
Step-by-step explanation:
We'll solve this using the rule of three.
We know that there are 28.35 grams in an ounce. This way,
This way,
\(\begin{gathered} x=\frac{209\times28.35}{1} \\ \\ \Rightarrow x=5925.15 \end{gathered}\)And since we know there are 10 decigrams in a gram, we'll have that:
This way,
\(\begin{gathered} y=\frac{5925.15\times10}{1} \\ \\ \Rightarrow y=59251.5 \end{gathered}\)This way, we can conclude that there are 59251.5 decigrams in 209 ounces.
Translate the figure 2 units legt and 4 units down. What are the coordinates of the image?
Answer:
\(A_{new}=(-3,0)\\B_{new}=(0,-1)\\C_{new}=(1,-4)\\D_{new}=(-3,-5)\)
Step-by-step explanation:
Looking at the diagram, you can see and determine the following points, write them down:
A=(-1,4)
B=(2,3)
C=(3,0)
D=(-1,-1)
Translating 2 units left means x changes by (-2)
Translating 4 units down means y changes by (-4)
Old Point + Point Change = New Point
\(A_{old}+T=A_{new}\\A_{old}=(-1,4)\\T=Translation=(-2,-4)\\A_{old}+T=(-1,4)+(-2,-4) = A_{new}=(-3,0)\)
\(B_{old}=(2,3)\\C_{old}=(3,0)\\D_{old}=(-1,-1)\\T=(-2,-4)\\B_{new}=(2,3)+(-2,-4)=(0,-1)\\C_{new}=(3,0)+(-2,-4)=(1,-4)\\D_{new}=(-1,-1)+(-2,-4)=(-3,-5)\)
A woman earned wages of $34,600, received $1500 in interest from a savings account, and contributed $2700 to a tax-deferred retirement plan. She was entitled to a personal
exemption of $2900 and had deductions totaling $5090. Find her gross income, adjusted gross income, and taxable income.
If She was entitled to a personal exemption of $2900 and had deductions totaling $5090. her gross income is $36,100, adjusted gross income is $33,400 , and taxable income is $25,410.
Gross incomeGross Income:
Gross Income= Wages + Interest received
Gross Income= 34,600 + $1500
Gross Income= $36,100
Adjusted Gross Income:
Adjusted Gross Income = Income - Tax Def Contribution
Adjusted Gross Income = $36,100- $2,700
Adjusted Gross Income = $33,400
Taxable Income :
Taxable Income = AGI - Deductions - Personal exemption
Taxable Income= $33,400- $5,090 - $2,900
Taxable Income= $25,410
Therefore her gross income is $36,100.
Learn more about gross income here: https://brainly.com/question/15530787
#SPJ1
Write the equation of a circle with a diameter endpoints of 13 and -1 and 15 and 9
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
Given that:
Endpoints of diameter, (13, -1) and (15, 9)
The equation of the circle when endpoints of diameter are given is written as,
(x - x₁)(x - x₂) + (y - y₁)(y - y₂) = 0
The equation of the circle is calculated as,
(x - 13)(x - 15) + (y + 1)(y - 9) = 0
x² - 28x + 195 + y² - 8y - 9 = 0
x² + y² - 28x - 8y + 186 = 0
The equation of a circle with diameter endpoints of (13, -1) and (15, 9) will be x² + y² - 28x - 8y + 186 = 0.
More about the equation of the circle link is given below.
https://brainly.com/question/10618691
#SPJ1