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:

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Answer:

C

Step-by-step explanation:

the typical form of line equation is

y = ax + b

a = the slope of the line (expressed as y/x ratio telling us how many units y changes when x changes a certain number of units).

b = the intercept on the y-axis (when x = 0).

we know, a = -4

and we use the point (x = -2, y = 1) to get b

y = -4x + b

1 = -4×-2 + b = 8 + b

b = -7

=>

y = -4x - 7

only the points of option C are all fulfilling this equation.

e.g. x = 0, y = -7

-7 = -4×0 - 7 = -7, true, -7 = -7

and so on.

Answer:

Daughter is 12 and mother is 48.

Step-by-step explanation:

Let the daughters age be x years now then the mothers age is 4x.

6 years ago the daughter was x-6 years  and the mother was 4x - 6.

So we have the equation:

x - 6 + 4x - 6 = 48

5x - 12 = 48

5x = 60

x = 12

So the daughter is 12 and the mother is 4*12 = 48.

Answer:

8cm

Explanation:

If the 16 cm is the diameter then the radius is 8 cm

Answer:

(2, -9)

Step-by-step explanation:

f(x) = (x + 1)(x - 5)

[tex] =f(x) = {x}^{2} - 5x + x - 5[/tex]

[tex] = f(x) = {x}^{2} - 4x - 5[/tex]

[tex] = f(x) = {1x}^{2} - 4x - 5[/tex]

[tex] = f(x) = {1x}^{2} + ( - 4x) - 5[/tex]

= a = 1, b = -4

[tex] = x = \frac{ - 4}{2 \times 1} [/tex]

[tex] = x = - \frac{ - 4}{2} [/tex]

[tex] = x - ( - 2)[/tex]

[tex] = x = 2[/tex]

= f(x) = (x + 1) x (x - 5); x = 2

= f(2) = -9

= (2, -9)

Using the geometric mean concept, it is found that the value of a is 18.

----------------------

The geometric mean, of a data-set of n elements, [tex](n_1, n_2, ..., n_n)[/tex], is given by:

[tex]G = \sqrt[n]{n_1 \times n_2 \times ... \times n_n}[/tex]

That is, the nth root of the multiplication of all elements.

----------------------

In this question:

Thus:

[tex]\sqrt{34a} = 6\sqrt{17}[/tex]

We find the square of each side, so:

[tex](\sqrt{34a})^2 = (6\sqrt{17})^2[/tex]

[tex]34a = 36\times17[/tex]

Simplifying both sides by 17:

[tex]2a = 36[/tex]

[tex]a = \frac{36}{2}[/tex]

[tex]a = 18[/tex]

The value of a is 18.

A similar example is given at https://brainly.com/question/15010240

Answer:

4.5

Step-by-step explanation:

find the difference,square them,add and find the square root

-1-1=-2

4-(-1)=4

2^2+4^2=4+16

=20

square root of 20=4.5(2dp)

Answer:

please answer me binary number multiply 11010 multiply 101

Answer:

71.75 in^3

Step-by-step explanation:

If the values are

3 1/2in 5 1/4in 4in

then multiply all three of them

71.75 in^3

Hope I helped!

Answer:

2x+x+2=5x-10

3x+2=5x-10

-3x -3x

2=2x-10

+10 +10

12=2x

2x/2=x 12/2=6

x=6

QR=x+2

6+2=8

QR=8

The value of x is 6 and the value of QR will be 8 units.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that the value of x and QR if Q is between P and R.

PQ=2x

QR=x + 2

PR= 5x -10

The value of x will be calculated as below:-

2x+x+2=5x-10

3x+2=5x-10

2=2x-10

12=2x

x = 12 / 2

x =6

The value of QR will be calculated as below:-

QR=x+2

6+2=8

Therefore, the value of x is 6 and the value of QR will be 8 units.

To know more about line segments follow

brainly.com/question/2437195

#SPJ2

Answer:

[tex]given \: that50 = b \\ a = c \\ 180 - 50 = a = 130 \\ so \: \: \: a = c = 130 \\ b = 50 \\ thank \: you[/tex]

Answer:

Alright- if you want any help just reply to this

Answer:

15

Step-by-step explanation:

5/100*300

100 can be cut for 100 and 300

so 5/1*3

ans 15

Answer:

Percentage Calculator: What is 5 percent of 300? = 15.

Answer:

#1 all real numbers except 0 and 3

#2 the first option

Answer:

Step-by-step explanation:

First multiply the -5 to (a+6)

The equation will look like this

-21 - 8a = -5a -30

then move the numbers around where you have a value times on one side, and a normal value on the other

add -5a to -8a, and add -21 to -30

the equation should look like this:

-13a = -51

then you need to get the a by itself, so divide -13 by -51

a= 13/51 (as a fraction with 13 on top)

Answer:

Step-by-step explanation:

A century has 100 years in it. months only has a max of 31 dates. The following years are perfect squares, 01,04,09,16,25,36,49 64,81,100

It will be 10 square root dates.

Answer:

17°

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

Answer:

x=17

Step-by-step explanation:

The angles add to 180

6x-20 + 6x-4 = 180

Combine like terms

12x -24 =180

Add 24 to each side

12x = 180+24

12x = 204

12x/12 = 204/12

x =17

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\boxed{\mathsf{3k = 126}}[/tex]

[tex]\huge\boxed{\textsf{\bf DIVIDE 3 to BOTH SIDES}}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{3k}{3}= \dfrac{126}{3}}}}[/tex]

[tex]\huge\boxed{\mathsf{\bf CANCEL\ out: \dfrac{3}{3}\ because\ it\ gives \ you\ 1}}}[/tex][tex]\huge\boxed{\bf KEEP: \dfrac{}{}\ because\ it\ answers\ for\ the\ }\\\huge\boxed{\bf k-value}[/tex]

[tex]\huge\boxed{\mathsf{k = \dfrac{126}{3}}}\\\huge\boxed{\mathsf{\dfrac{126}{3} = k}}[/tex]

[tex]\huge\boxed{\textsf{\bf SIMPLIFY ABOVE}}[/tex]

[tex]\huge\boxed{\mathsf{Therefore, your \ answer \ is: k = 42}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

-213

Step-by-step explanation:

3|3-5|^2-(-15)^2

3(4)-225

=12-225= -213

Answer:

-213

Step-by-step explanation:

=3|x+y|²-(xy)²

Subtitute value of x and y above:

=3(|3+-5|)²-(3×-5)²

=3(|-2|)²-(-15)²

=3(2)²-(225)

=3(4)-225

=12-225

=-213

Note: If you need to ask question,I'll gladly give you answee.Thanks

Answer: First Choice. no solution

Step-by-step explanation:

Given

5 (x + 1) ≤ 5x + 3

Expand parentheses and apply the distributive property

5x + 5 ≤ 5x + 3

Subtract 5x on both sides

5x + 5 - 5x ≤ 5x + 3 - 5x

5 ≤ 3

5 ≤ 3 is not true, therefore, there is no solution.

Hope this helps!! :)

Please let me know if you have any questions

Answer:

6 is the answer. Hope this helps you! Stay blessed .

Answer:

5/2

Step-by-step explanation:

Answer:

3

Brainliest, please!

Step-by-step explanation:

(1, -2)(3, 4)

y: +6

x: +2

y/x = 6/2 = 3

Answer:

Step-by-step explanation:

we know that

the area of the rectangle = Length x Width

here

The width measurement of the rectangle

Solution :-

Area of the rectangle = Length x Width

=> 108.35 = 7.8 x width

[tex]width \: = \frac{108.35}{7.8} \\ = > width \: = 13.891025641 \: m[/tex]

The width of the rectangle is 13.891025641 m option C) 13.89 m is the correct answer

Answer:

A. 2+6+10+14+18+22+26+30+34+38

B. 6+18+54+162+486+1458+4374+13122+39366+118098

Step-by-step explanation:

I. In A. you can see 2 is plus by 4 = 6

                                6 is plus by 4 = 10

                                ... is plus by 4 ...

So the term was plus by 4

II. In B. you can see 6 is multiply by 3 = 18

                                18 is multiply by 3 = 54

                                 ... is multiply by 3 ...

So the term was multiply by 3

Leave comment if you're curious.

Answer:

1500

Step-by-step explanation:

Basically 5*3 then add the two zeroes. One from 50 and 30.

Answer:

Answer: 49/6units^{2}49/6units

2

Step-by-step explanation:

You can convert from mixed number to fractions as following:

2 1/3=((2*3)+1)/3=7/3 units

3 1/2=((3*2)+1)/2=7/2 units

Then you can calculate the area of the rectangle as you can see below:

\begin{gathered}Area=lenght*width\\Area=7/2units*7/3units\\Area=49/6units^{2}\end{gathered}

Area=lenght∗width

Area=7/2units∗7/3units

Area=49/6units

2

Answer:

[tex]10\frac{1}{8}[/tex]

Step-by-step explanation:

→ Multiply the fractions together

[tex]4\frac{1}{2} *2\frac{1}{4}[/tex]

→ Convert to improper fractions

[tex]\frac{9}{2} *\frac{9}{4}[/tex]

→ Multiply across

[tex]\frac{81}{8}[/tex]

→ Convert back to mixed number

[tex]10\frac{1}{8}[/tex]

Answer: 3

Step-by-step explanation:

[tex]\sqrt{ \dfrac{45}{5}} =\sqrt{9}=\bold3[/tex]

Answer:

3

Step-by-step explanation:

We don't really need to simplify this, but if you do:

45/5 is the same as 45 ÷ 5 so

45/5 = 9

Now we have to find the square root of 45/5(or 9). The square root of a number(x for example) is the number(y) that multiplied by itself once will equal x or y · y = x.

For this you can use a calculator:

[tex]\sqrt{\frac{45}{5} }[/tex] = 3

or

[tex]\sqrt{9}[/tex] = 3