Shen made $25,000 in taxable income last year.
Suppose the income tax rate is 10% for the first $7000 plus 15% for the amount over $7000.
How much must Shen pay in income tax for last year?

Answer:

8y-36x=16

Step-by-step explanation:

Dialating means you are multiplying or dividing. Since 2 is positive you multiply everything by 2, usually it would be coordinates, like if it said dialate (2,4) by 6 we would get (12, 24), but I didn't really want to have to solve the equation for the coordinates so try the answer I wrote, if not I am so so so sorry but at least now you know what dialating means.

Answer:

a) t (α)  =  30 * tan α

b) α =  75 °  is not possible because

Step-by-step explanation:

The vertical cliff  (y),  the observing partner ( 150 ft ) from the point o ( the common point for the cliff and the ground ) between the cliff, and the line of sight from the observer and the climber, shape a right triangle. Hypothenuse is the distance between the partners, the cliff, and distance of the observer to the cliff are the legs.

Then

α is the elevation angle

tan α  =  y / 150           (1)

y(t)  = elevation of the climber

y(t) = speed * time

y(t)  =  5 * t

tan α  =  5 *t / 150

tan α  =  t / 30

t (α)  =  30 * tan α

b) α =  75 °  is not possible because:

tan α  =  y / 150              tan 75°  =  3.73

Then     y  =  3.73 * 150  =  559 ft and the cliff is only 500 ft

Step-by-step explanation:

Volume of a cone= 150

Volume of a cylinder=?

Now,

Volume=22/7*r^

Answer:

(C) 450

Step-by-step explanation:

Volume of cone: (1/3)×(pir^2h)

Volume of cylinder: (pir^2h)

The volume of the cone multiplied by (1/3) should give you your answer. (150 × 3)

Answer:

6, 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

use pythageran theorem

c=square root of a2+b2

but we are solving angle b

so

b2=c2-a2

b2=225-196

b2=29

b approximately = 5.39 Rounded up

Answer:

5.4

Step-by-step explanation:

c² = a² + b²

15² = 14² + b²

225 = 196 + b²

b² = 225 - 196

b² = 29

b = 5.4

Answer:

1

Step-by-step explanation:

BD = BC + CD = (7 + 17x)

BE = BA + AE = (8 + 13x)

By intersecting secants theorem:

[tex] BC\times BD = BA\times BE[/tex]

[tex] 7(7+17x) = 8(8+13x)[/tex]

[tex] 49+119x = 64+104x[/tex]

[tex]119x -104x = 64-49[/tex]

[tex]15x = 15[/tex]

[tex]x = \frac{15}{15}[/tex]

[tex]x =1[/tex]

Answer:

6

Step-by-step explanation:

From the line plot, the length of wood measuring atleast 1/2 in length include :

Piece with length 1/2 and pieces with length 2/3

Number of pieces with length 1/2 feets = 4

Number of pieces with length 2/3 feets = 2

Pieces with atleast 1/2 feet length = 4 + 2 = 6

Answer:

75

Step-by-step explanation:

Angles in a triangle add up to equal 180

That being said we can find the missing angle by subtracting the measures of the given angles from 180

Thus missing angle = 180 - 34 - 71

180 - 34 - 71 = 75

Which means that the missing angle = 75

Answer:

? = 180 - (angle 1 + angle 2)

? = 180 - (71 + 34)

? = 180 - 105

? = 75°

=> To check is the answer is right, add all 3 angles together and their sum should be 180°

Hope this helps!

Answer:23/10

Step-by-step explanation:

Answer:

c = 1

Step-by-step explanation:

9 x 1 + 1 = 10

Hope this helps!

Answer:

c=1

Step-by-step explanation:

9c+1=10

9c=10-1

9c=9

9c/9c= 9/9

c=1

Answer:

1) P(First card was a king) =  1/13 2.) 1/4

Step-by-step explanation:

1) P(First card was a king) = n(King)/n(Total) = 4/52 = 1/13

2. P(Heart)13/52 = 1/4

Answer:

1/52

Step by step explanation:

First, find the probability that the first card will be a King. Since there are 4 possible kings, and 52 cards, the probability is 4/52.

Then, find the probability that the second card will be a heart. "given that the first card is replaced" means that there are 13 possible hearts regardless of the suit of the first card. So 13/52 is the probability.

To find the probability of both occurrences, multiply them.

4/52 * 13/52 = 52/2704

52/2704 can be simplified to 1/52. So that is the probability that the first card will be a king and the second card will be a heart.

Answer:

I believe it's C

Step-by-step explanation:

The surface area of the bottom is 64 because it's 8 times 8.

All of the sides are 8 times 12.

8 times 12 is 96.

96 times 4 (for all four sides) is 384.

So the sides (384) plus the bottom (64) is 448, or C

Answer: 36,290,000

Step-by-step explanation:

Answer:

y = mx + b

Please mark as brainliest if answer is right

Have a great day, be safe and healthy  

Thank u  

XD  

Answer:

Step-by-step explanation:

y = mx + b is the correct way to write slope intercept form.

Answer:

9 for the hypotenuse, [tex]\sqrt{64}[/tex] and [tex]\sqrt{25}[/tex] for the two legs

Step-by-step explanation:

For these types of problems, we need to make sure that the values of legs are as big as possible while keeping the hypotenuse larger than legs because otherwise, it won’t be a right triangle.  

So for the hypotenuse, we have to put the largest number in this number bank because the hypotenuse has to be larger than both legs. So the hypotenuse will equal 9. The rest is simple. Get the numbers as large as possible. Since the hypotenuse must be larger than both legs, we cannot use sqrt(81) and sqrt(64) (that would’ve been sweet). So we have to use sqrt(64) and sqrt(25) because sqrt(49) and sqrt(36) are already taken since we can only use a number once.

I'm not an expert at this and I cannot guarentee that this is correct. But I hope that this helps.

Answer:

9 years

Step-by-step explanation:

Given data

Principal= $10000

Rate= 3%

Final amount= $12700

The simple interest expression is given as

A=P(1+rt)

substitute

12700=10000(1+0.03*t)

12700=10000+300t

collect like terms

12700-10000= 300t

2700=300t

divide both sides by 300

t= 2700/300

t= 9 years

Answer:

Total wrapping paper need = 960.84 inch²

Step-by-step explanation:

Given:

Height of cylinder box = 8 inch

Radius of cylinder box = 9 inch

Find:

Total wrapping paper need

Computation:

Total wrapping paper need = Total surface area of cylinder

Total surface area of cylinder = 2πr(h + r)

Total wrapping paper need = 2[3.14][9][8+9]

Total wrapping paper need = 2[3.14][9][17]

Total wrapping paper need = [6.28][9][17]

Total wrapping paper need = [56.52][17]

Total wrapping paper need = 960.84 inch²

Step-by-step explanation:

Answer:

the answer is angle 4 is congruent to angle 3 and the measure of angle 4 is angle to angle 54, while, the congruent of angle 4 is angle 2 and, the supplement angle of angle 3 is angle 1 and the sum of all is angle 162

Answer:

353.77

Step-by-step explanation:

the formula of finding the volume of a cone is 1/3times pie times radius squared times height do it with a calculator to get the answer

Answer/Step-by-step explanation:

To find out the mistake of the student, let's find the min, max, median, Q1 and Q3, which make up the 5 important values that are represented in a box plot.

Given, {2, 3, 5, 6, 10, 14, 15},

Minimum value = 2

Median = middle data point = 6

Q1 = 3 (the middle value of the lower part of the data set before the median)

Q3 = 14 (middle value of the upper part of the data set after the median)

Maximum value = 15

If we examine the diagram the student created, you will observe that he plotted the median wrongly. The median, which is represented by the vertical line that divides the box, ought to be at 6 NOT 10.

See the attachment below for the correct box plot.

Step-by-step explanation:

put it in least to greatest and then put your fingers on the opposite side of the numbers and count down at the same time

Answer:

n=12

Step-by-step explanation:

lol we meet again

just use the permutation formula for this one.

n!/(n-3)!=1320

[n×(n-1)×(n-2)×(n-3)!]/(n-3)!=1320

n(n-1)(n-2)=1320

(n²-n)(n-2)=1320

n³-3n²+2n-1320=0

n=12

For example, a classroom of 30 students with 15 males and 15 females could generate a representative sample that might include six students: three males and three females

so true i think

Answer:

105 m²

Step-by-step explanation:

Dividing the figure into 3 rectangle will be easier to find its area.

The area of the larger rectangle

= (10-5) × 13

= 65 m²

The total area of the 2 smaller rectangles

= 2 × (4×5)

= 40 m²

The area of the figure

= 65 + 40

= 105 m²

Answer:

150 of Grant`s coins are quarters. i hope this helped

Answer:

G

Step-by-step explanation:

The most likely to have the greatest variability is,

⇒ The height of all students at West Middle school.

A Mathematical expression is defined as collection of the numbers, variables and functions by using operations like addition, subtraction, multiplication, and division

Now, We know that;

Greatest variability is large spectrum of possibilities.

Hence, We get;

The costs of candy from vending machine are going to be about the same price because they are all candy, so that does not vary much more.

And, The age of all the students in the sixth grade is going to be about the same because they are in the same grade.

Since, The number of days in a month is usually 31 or 30, so that also does not vary much.

This means, it has to be the height of all the students at West Middle school because it is a middle school so there are 3 different grades each having many students. This means that it will have the greatest variability.

Thus, The most likely to have the greatest variability is,

⇒ The height of all the students at West Middle school

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

18cm3

Step-by-step explanation:

3x2x3=18

Length x Width x Height

Hope this helps plz like& brainly

Answer:

the area of this triangle is 7(5) which equals 35 sq cm

Step-by-step explanation:

no parallelogram shown?

Answer:

72 markers along entire trail

Step-by-step explanation:

Divide 12 miles by 1/6 mile:

  12 miles

------------------------- = 72 markers

1 marker/6 miles