In a certain country, income tax is assessed by people not having to pay a tax if they make $15,000 per year or less, people having to pay a 12% tax if they make over $15,000 but no more than $30,000, and people having to pay 18% tax if they make more than $30,000 per year. Find the piecewise function that represents this scenario.
Answer:
f(x) = x × 0.12 if 15,000 ≤ x ≤ 30,000
x × 0.18 if x ≥ 30,000
Step-by-step explanation:
I. When 12% is 12/100 = 0.12
and 18% is 18/100 = 0.18
write 32% as a fraction in simplest form
Answer:8/25
Step-by-step explanation:
Answer:
Step-by-step explanation:
32/100 = 16/50 = 8/25
Can someone substitute this to find x and y
9514 1404 393
Answer:
-3 adult tickets were sold18 children's tickets were soldStep-by-step explanation:
Using the first equation to write an expression for y, we get ...
y = 15 -x
Substituting that into the second equation gives ...
30x +20(15 -x) = 270
10x +300 = 270 . . . . . . . . . simplify
10x = -30 . . . . . . . . . . . . . subtract 300
x = -3 . . . . . . . . . . . . . . divide by 10
y = 15 -(-3) = 18 . . . . find the corresponding value of y
The number of adult tickets sold is -3; the number of children's tickets sold is 18.
_____
Additional comment
If 15 tickets were sold for 270 the way your problem statement says, then the average ticket price is 270/15 = 18 per ticket. You show the ticket prices to be 20 for children and 30 for adults. That is, the average price is expected to be between 20 and 30. There is something wrong with this problem.
how can i solve that equation
Answer:
-2 is common ratio.
Step-by-step explanation:
All steps are in picture.
If you need to ask question ,i will asnwer you gladly.
define a factorization
Step-by-step explanation:
In mathematics, factorization or factoring consists of writing a number or another mathematical object as a product of several factors, usually smaller or simpler objects of the same kind. For example, 3 × 5 is a factorization of the integer 15, and is a factorization of the polynomial x² – 4.
MARK AS BRAINLIST IF IT IS USEFUL
What is the axis of symmetry for the graph of y – 4x = 7 – x2 ?
x = 2
y = 2
x = 11
y = 11
Answer:
Its A x=2
Step-by-step
so i told siri pick a number 1-4 and she picke 1 and it was right so good luck
Answer: x = 2
Step-by-step explanation:
got it right
midpoint (12, -9), endpoint (19, 0) the other endpoint is
Answer:
(5, -18)
Brainliest, please!
Step-by-step explanation:
(12, -9)(19, 0)
x distance: 7, y distance: 9
To get the other endpoint, we must apply the opposite.
x distance: -7, y distance: -9
(12, -9)
12 - 7 = 5, -9 - 9 = -18
(5, -18)
Multiply.
(a) 0.8 x 0.9
Answer:
0.72
Step-by-step explanation:
hope that helps!
whats 1/3 to the third power?
Answer:
1/27
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{(\dfrac{1}{3}})^3}\\\\\huge\boxed{= \mathsf{\dfrac{1}{3}\times\dfrac{1}{3}\times\dfrac{1}{3}}}\\\\\huge\boxed{\mathsf{= \dfrac{1}{3^3}}}}\\\\\huge\boxed{\mathsf{= \dfrac{1}{3\times3\times3}}}\\\\\huge\boxed{=\mathsf{\dfrac{1}{9\times3}}}\\\\\huge\boxed{\mathsf{= \dfrac{1}{27}}}\\\\\huge\boxed{\frak{Answer: \dfrac{1}{27}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment\& enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]
Tom is applying for a visa.
He has to pay £1,800 for the visa as well as a 12% charge on the visa price for an on-the-day service.
If Tom has 1 year to save, how much money should he save per month to be able to cover his costs?
Round your answer to the nearest £10.
Answer:
767
Step-by-step explanation:
Help please!!!!!!!!!!
Answer:
52/15 or 3 7/15
Step-by-step explanation:
2 3/5 divide 3/4
13/5 divide 3/4
13 x 4/5 x 3
52/15
3 7/15
Answer:
3 [tex]\frac{7}{15}[/tex]
~~~~~~~~~~~
[tex]\frac{13}{5}[/tex] ÷ [tex]\frac{3}{4}[/tex]
[tex]\frac{13}{5}[/tex] * [tex]\frac{4}{3}[/tex]
[tex]\frac{52}{15}[/tex]
3 [tex]\frac{7}{15}[/tex]
Step-by-step explanation:
I will give brainliest to correct answer
-2^2(-5x+10)=100 solve for x
Answer:
x = 7 would be the correct answer to your question.
I hope this helped! :D
If you flip a coin, what is the probability that it will land on tails?
Answer:
50%
Step-by-step explanation:
Because the coin has two sides, heads and tails, there is a 50% chance that it will land on tails.
1/2
The square root of 424 is between what two integers
Answer:
20 and 21
Step-by-step explanation:
424 = 400 + 20 + 4. √400 = 20, as √4 = 2
21² = (20 + 1)² = 400 + 40 + 1 = 441 > 424.
please help help help
Answer:
a = 3
Step-by-step explanation:
We can start by cross multiplying, which is a method to help solve proportions. We get:
5 * a = 3 * (a + 2)
Now, we can distribute the 3 and solve:
5a = 3a + 6
-3a -3a
2a = 6
/2 /2
a = 3
Answer:
[tex]a = 3[/tex]
Step-by-step explanation:
[tex] \frac{a}{a + 2} = \frac{3}{5} [/tex][tex]a \times 5=(a+2) \times 3[/tex]
[tex]5a=(a+2) \times 3[/tex]
[tex]5a=3a+6[/tex]
[tex]5a−3a=6[/tex]
[tex]2a=6[/tex]
[tex]a = \frac{6}{2} [/tex][tex]a = 3[/tex]
Hope it is helpful....The expression (2x + a)(4x − 1) is equivalent to 8x2+ bx − 3. Find the value of b.
Answer:
b = 10
Step-by-step explanation:
Expand the left side and compare the coefficients of like terms
(2x + a)(4x - 1) ← expand using FOIL
= 8x² + 4ax - 2x - a = 8x² + x(4a - 2) - a
Compare coefficients of like terms with
8x² + bx - 3
Then a = 3 ( constant term )
b = 4a - 2 ( coefficients of the x- term )
b = 4(3) - 2 = 12 - 2 = 10
Answer:
b = 10
Step-by-step explanation:
We can break those parenthesis like this
[tex](2x + a)(4x - 1) \\ = 2x(4x - 1) + a(4x - 1) \\ = 8{x}^{2} - 2x + 4ax - a[/tex]
And then combine the terms end with x we get
[tex]8 {x}^{2} - 2x + 4ax - a \\ = 8 {x}^{2} + 4ax - 2x - a \\ = 8 {x}^{2} + (4a - 2)x - a[/tex]
Now by comparing 2 expressions, we can see that a is 3, and b = 4a-2 = 12-2 = 10
Helpsss pleaseee.. ASAP
Answer: the image wont load ;-;
Step-by-step explanation:
Answer: -15,-12,10,12,26
Step-by-step explanation:
6=_-(-8) find the missing value
Answer:
-2
Step-by-step explanation:
when there are two negative signs directly next to each other, it becomes a positive. Set the equation. Let the unknown number be signified by the variable, x:
6 = x - (-8)
6 = x + 8
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 8 from both sides of the equation:
6 (-8) = x + 8 (-8)
6 - 8 = x
x = 6 - 8
x = -2
-2 is your missing value.
~
Hey there!
6 = ____ - (-8)
• We’re going to substitute the blank value as “x” because we don’t know the variable is just yet.. it is unknown
x - (-8) = 6
x + 8 = 6
SUBTRACT 8 to BOTH SIDES
x + 8 - 8 = 6 - 8
CANCEL out: 8 - 8 because that gives you 0
KEEP: 6 - 8 because that helps solve for the x-value
x = 6 - 8
6 - 8 = x
x = -2
Answer: -2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
((PLEASE HELP URGENT))
Points P, Q R, and S are collinear Point Q is between P and R. R is between Q and S, and PQ=RS, If PS = 27 and PR= 21, what is the value of QR?
on monday 382 students went on a trip to the zoo. all 9 buses were filled and 4 students had to travel in cars. how many students were in each bus?
Answer:
42 students
Step-by-step explanation:
If 4 students had to travel in cars, then 382 - 4 = 378 students traveled in the buses. Since there were 9 buses, 378 / 9 = 42. Therefore, there were 42 students in each bus.
Lindsay makes $9 per hour, h, of babysitting. She made a total of $63 babysitting yesterday.
Move values to the lines to create an equation to represent this situation.
h
9
54
63
72
4x+11=x²-10
PLS HELP.
Answer:
10+4x+11=x²-10+10 (add 10 both side)
21+4x-4x=x^2-4x (substract 4x in both side)
21-21=x^2-4x-21 (substract 21 in both side)
x^2-4x-21=0
x^2+3x-7x-21=0(we can write -4x as (3x)+(-7x)=(-4x)
x(x+3)-7(x+3)=0 (get common factor)
(x+3)(x-7)=0 (get common factor which is (x+3) by both)
x=-3 or x=7
Step-by-step explanation:
Which Number Is Greatest?
Answer:
24/100 written in decimal form is .24
16% written as a decimal is .16
.24 would be greatest i believe
Step-by-step explanation:
24/100 is in the 100th place so your decimal would be 0.24
16% is also in the 100th place so .16 :)
I need help with this problem for my math class.
9514 1404 393
Answer:
52 minutes
Step-by-step explanation:
Streaming Haunted Cave videos used the battery at the rate ...
(76% -16%)/(3·30 minutes) = 60%/(90 minutes) = (2/3)% per minute
Playing Top Pop used the battery at the rate ...
(63% -59%)/(24 minutes) = (4/24)% per minute = (1/6)% per minute
The remaining charge (in percent) after x minutes for Jorge's phone will be ...
J = 55 -2/3x
The remaining charge for Samantha's phone will be ...
S = 29 -1/6x
We can find the value of x that makes these equal:
J = S
55 -2/3x = 29 -1/6x
26 = 1/2x . . . . . . . . . . . . . . . add 2/3x -29 to both sides
52 = x . . . . . . . . . . . multiply by 2
It will be 52 minutes before the two phones have the same battery level.
The product of two whole numbers is 999 and their sum is 64. What are the two numbers?
Answer:
the answer is:
997+2=999 so all you would have to do is multiply 997 and 2
Please help with geometry
Answer:
x = 8
Step-by-step explanation
Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.
7x + 17 + 3x - 7 = 90 Combine like terms
10x + 10 = 90 Subtract 10 on both sides
10x = 80 Divide both sides by 10
x = 8
Answer:
x = 8
Step-by-step explanation
Complimentary angles have a sum of 90*. Thus when adding the two equations together, we must get 90*.
7x + 17 + 3x - 7 = 90 Combine like terms
10x + 10 = 90 Subtract 10 on both sides
10x = 80 Divide both sides by 10
x =8
11. 226 students went on a field trip. Eight buses were filled and 10 students traveled in cars. How many students were in each bus? from Sarawona's Bikes. It cost $18 WILL NEED WORK DONE AND WILL GIVE BRAINIEST
Answer:
27 studentsStep-by-step explanation:
Number of students = 226Number of buses = 8Students traveled in buses:
226 - 10 = 216Number of students in each bus:
216/8 = 27Students travelled in bus:-
[tex]\\ \rm\longmapsto 226-10=216[/tex]
No of buses=8Students in each bus
[tex]\\ \rm\longmapsto \dfrac{216}{8}[/tex]
[tex]\\ \rm\longmapsto 27[/tex]
prove(sec theta-tan theta)(sec theta+tan theta)=1
Answer:
[tex]( \sec \theta - \tan \theta)( \sec \theta + \tan \theta)[/tex]
from difference of two squares:
[tex]{ \boxed{ \tt{( {a}^{2} - {b}^{2}) = (a - b)(a + b) }}}[/tex]
[tex] = { \sec }^{2} \theta - { \tan}^{2} \theta \\ = (1 + { \tan}^{2} \theta) - { \tan}^{2} \theta \\ = 1[/tex]
hence proved
A man had Rs 2,000.He purchased 2 kg of apples at Rs 150 per kg ,3 kg sugar at Rs 80 per kg, and donated Rs 1,000 to a charity .if he divided the remaining sum between his daughter and a son equally,find the share of the daughter and the son
Answer:
230 for Daughter and son each
Step-by-step explanation:
for apples=he spend Rs 300
sugar=Rs 240
Rs 1000
then remaining is 460 divided equally is
230 for each
love maths!
what is equivalent to the expression i^151 ?
Answer:
-i
Step-by-step explanation:
i^2=-1, so i^151=[(i^2)^75] * i=> [(-1)^75]*i=(-i)