Answer: $3204.06
Step-by-step explanation:
Here's the complete question:
Arnetta's monthly gross pay is $4,200. Federal withholding is 16.05% of her pay. Her other deductions total $321.30. Find her net pay.
First, we calculate the Federal witholding which will be:
= 16.05% × $4200
= 0.1605 × $4200
= $674.10
The total deduction will now be:
= $674.10 + $321.30
= $995.40
The net pay will now be:
= Gross pay - Total deductions
= $4,200 - $995.40
= $3204.06
Therefore, Arnetta’s net pay is $3204.06
Find the value of x in the given
right triangle.
12
x = [?]°
х
5
Enter your answer as a decimal rounded to the
nearest tenth.
Answer:
65°
Step-by-step explanation:
to find angles, use the inverse trig function (in this case, tan^-1)
tan^-1(5/12)
Answer:
65.4
Step-by-step explanation:
Gerard bought 100 feet of fence to make a pen for his sheep. He decided to build the fence up
against his barn, as shown in the picture below. He wants to MAXIMIZE the amount of area of the pen.
What should the dimensions be? (HINT: Area = length x width)
Answer:
Step-by-step explanation:
P = 2b + a = 100
A = b * a
a = 100 - 2b
A = b(100 - 2b) = 100b - 2b^2
dA/db = 100 - 4b
100 - 4b = 0
b = 25
a = 50
links will get banned
Answer:
22 cm long
eeeeeeeeeeeeeeeeeeeeeeeeeeee
slove the system of substitution
y=x-8
y=2x-4
Answer:
x + y = 4 , x − y = 2
x + 2 y = 4 , x − y = − 3
x 2 − y = 2 , 2 x − y = − 1
Step-by-step explanation:
Answer:
x=-4
Step-by-step explanation:
x-8=2x-4
+8 +8
---------------
x=2x+4
-2 -2
-----------
-x=4
-1 -1
----------
x=-4
The coaches at Dobie High School recorded the number of miles ran by various students. What is the difference between the number of students who ran 2 and a half or three miles and the number of students who ran one or one and a half miles?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as a table or chart that shows the required data is not given.
To answer this, I will make use of the following frequency table
[tex]\begin{array}{cccccc}{Miles} & {1} & {1\frac{1}{2}} & {2} & {2\frac{1}{2}} & {3} \ \\ {Students} & {10} & {0} & {5} & {10} & {5} \ \end{array}[/tex]
From the above table.
[tex]2\frac{1}{2}\ miles \to 10\ students[/tex]
[tex]3\ miles \to 5\ students[/tex]
So:
[tex]2\frac{1}{2}\ or\ 3\ miles = 10+5[/tex]
[tex]2\frac{1}{2}\ or\ 3\ miles = 15\ students\\[/tex]
From the above table.
[tex]1\ miles \to 10\ students[/tex]
[tex]1\frac{1}{2}\ miles \to 0\ students[/tex]
So:
[tex]1\frac{1}{2}\ or\ 1\ miles = 0+10[/tex]
[tex]1\frac{1}{2}\ or\ 1\ miles = 10\ students[/tex]
The difference (d) is then calculated by subtracting the number of students in both categories
[tex]d = 15\ students - 10\ students[/tex]
[tex]d = 5\ students[/tex]
Shown below is a jar which is in the shape of a right circular cylinder. What is the length of the longest stick that could fit in this jar (without bending or breaking the stick and with no part sticking out)?
Answer:
14.14
Step-by-step explanation:
please find attached a diagram showing the stick and the jar
the length of the longest stick can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
10² + 10²
100 + 100 = 200
determine the square root of 200
= 14.14
Can someone help me with this
Answer:
C
Step-by-step explanation:
1. Absolute values are in the shape of a V, so the answer is automatically C.
2. If you did not know that, you can see that the graph is a function because it passes the vertical line test. This rules out option A. By looking at the graph, you can see it passes the x-axis twice, meaning that it has 2 x-intercepts. This rules out option B. X-intercepts always have a y-coordinate of 0, so we can rule out option D. The only option left after this is C.
14 In a book, 98% of the pages contain text, diagrams on both. If 88% of the pages
contain text and 32% contain diagrams, what percentage contain
a.neither text nor diagrams
b. only diagrams
c.only text
d.both text and diagrams?
Answer:
2%
10%
66%
22%
Step-by-step explanation:
For the first one we just need to find the compliment of the union (.98) which is .02
Union formula:
A∪B=A+B-A∩B
We will let T= text and D= diagram
we know that
.98=.88+.32-T∩D
Solve and find that T∩D= .22
Only diagram: .32-.22= .1
Only text: .88-.22= .66
Text and diagrams is the intersection we found earlier or .22
Find the solution of the system of equations.
-2x-6y=8
-6x-6y=0
A cube has side length of 1 meter. Determine the volume of the cube. Include all of your calculations in your final answer.
Answer:
look at the picture i sent......
Please help
Thanks I really need help and appreciate it
Answer:
umm can you tell us the options then I can say what the answer is and I'll edit or put it in the comments
Step-by-step explanation:
have a good rest of your day tho :) ❤
7y - 9 = 2(y - 4) + 1
Answer:
Step-by-step explanation:
Distribution comes first, so:
7y-9 = 2y-8+1
Then you simplify:
7y-9 = 2y-7
Then you subtract or add the lowest number with a letter:
5y-9 = -7
Now you get 5y alone, so we add the 9:
5y = 2
Then you divide 5y = 2 by 5
y = 2/5 or .4
What is the total surface area of a dog food can which has a diameter of 5 inches and a height of 7
inches?
Answer:
35.................
I need this answered quick alot of points on the line here 2 pictures down below
Answer:
1.x=10 and x=−2.
2. the answer is x=7,-1
3.=3, =1
Step-by-step explanation:
1.Since it is a quadratic equation, then it has, at the most, two solutions because the square root of the variable has a positive and negative value. Thus, the solutions to the given equation are x=10 and x=−2.
2.Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. the you would simplify the equation.and the last thing that is to separate the equation.
3.-(-4)+/-sqrt(-4)^2-4^1^3/2*1,x=4+/-sqrt(-4)^2-4*1*3,x=4+/3sqrt16-4*1*3,x=4+/-sqrt16-12,/2*1,x=4+/-sqrt4/2*1,x=4+/-2/2*1,x=4+/2/2,x=4+2/2,x=4-2/2
The scale shown is not balanced.
Drag base ten blocks to the box to show the amount that x needs to be to balance the scale.
HELP PLEASEEEEE
Answer:
1 (100block)
5 (10block)
3 (1block)
Step-by-step explanation:
221-68=153
1x100=100
5x10=50
3x1=3
The amount that x = 53 needs to be to balance the scale.
What is an equation?The term "equation" refers to a pair of algebraic expressions with the same value and the sign "=" in between.
We have an equation,
221 = x + 68
x = 221 - 68
x = 153
In 153,
1 is in place of hundred 100, 5 is in the place of 10 so, 50.
Therefore, x = 53 is the amount that needs to be to balance the scale.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ2
PLS HELP !!!!!!!
i rlly need this T__T
Answer:
(3,4) -> (8,3)
(-2,4) -> (3,3)
(-2,5) -> (3,4)
The triangle is translated 5 units to the right and 1 unit down.
Step-by-step explanation:
Add 5 to each x on the (x,y) coordinate and subtract 1 from each y.
HELLLLLPPPPPP MEEEEEE PLLLLEAAAASSEEEEW!!!!
Solve the system using
the elimination method.
(3x + 4y = 6
<
(2x + 3y = 3
Answer:
[tex]3x + 4y = 6 - - - (a) \\ 2x + 3y = 3 - - - (b) \\ 2 \times (a) - 3 \times (b) : \\ = > 0x - y = 3 \\ y = - 3 \\ 2x - 9 = 3 \\ 2x = 12 \\ x = 6 \\ { \boxed{x = 6}} \\ { \boxed{y = - 3}}[/tex]
beau completed 2/5 of his science project on Friday and 1/3of the project on Saturday what fractional part of his project did she complete during these two days
Answer:
beau completed 2/5 of his science project on Friday
beau completed 1/3 of his science project on Friday
Now
he completed during these two days=1/3+2/5=11/15 part of his project
for the bud to see... and one person to get poi.nts XD
so addison got banned yesterday but got her account back today and then drake got banned today
Answer:
WHAT!? THEY BOTH GOT BANNED?! HOW
14
4(x + 6)
+
2(3x – 5) =
A) 4x + 14
B) 10x + 34
C) 10x + 14
D) 10x – 24
E) NOTA
Answer:
D) 10x - 24
Step-by-step explanation:
Bc I know maths a lot
PLEASE HELP!
1.Given the information provided for the right triangles shown here, find the unknown leg lengths to the nearest tenth.
2.The triangle shown here is not a right triangle. What are two different ways you change one of the values so it would be a right triangle? Sketch these new right triangles, and clearly label the right angle.
Answer:
1.
For triangle 1
[tex]a = 3\sqrt{5}[/tex]
For triangle 2
[tex]x = 2\sqrt{2}[/tex]
2.
Way 1
By reducing the length of the side 4 to 3.60
Way 2
By increasing the length of side 7 to 7.21
Step-by-step explanation:
The complete question is attached in the image
Solution
1.
Both the triangles are right angled triangle
For triangle 1
[tex]7^2 = 2^2 + a^2\\49 = 4 + a^2\\a^2 = 45\\a = 3\sqrt{5}[/tex]
For triangle 2
[tex]4^2 = x^2+x^2\\2x^2 = 4*4\\x^2 = 8\\x = 2\sqrt{2}[/tex]
2.
Way 1
By reducing the length of the side 4 to 3.60
Way 2
By increasing the length of side 7 to 7.21
The sixth grade class went to a family fun center. out of the 154 students, 85 played laser tag. A total of 80 students roller skates and 39 of those played laser tag.
Answer:
Whats the question?
Step-by-step explanation:
Obtuse can have right angles.
True or False
False. Obtuse is always greater than 90°.
Answer:
False
Obtuse triangles can't have right angles
On a scale drawing, the height of a tree is 3.75 inches. If the scale of the drawing is 1 in. : 50 ft, how tall is the tree?
HINT: Write and solve a proportion. You will compare 1 in to 50 feet and then determine how many feet 3.75 inches would be. REMEMBER: When writing your proportion, be sure that whichever (inches or feet) is on top and bottom of one ratio, it is in the same position (top or bottom) on other ratio.
Find the scale factor of a model train if the scale is 1 inch = 4 feet.
Answer:
1
Step-by-step explanation:
Find the area of the regular nonagon
Answer:
267.3
Step-by-step explanation:
area of a regular polygon =
(perimeter * apothem)/2
perimeter: 9 * 6.6 = 59.4
area: 59.4 * 9 = 534.6
534.6/2 = 267.3
area = 267.3
help me with my math please
Help please!! Quickly!!
The length of a dog run is twice its width. Its area is 50 square yards.
Find the length and width of the dog run.
Answer:
Length = 10 yards Width = 5 yards
Step-by-step explanation:
2w x w = 50 yards²
2w² = 50 yards²
2w²/2 = 50 yards² / 2
[tex]\sqrt{w^{2} }[/tex] = [tex]\sqrt 25 yards^{2}[/tex]
w = 5
Area = l x w
= 10 x 5 = 50
length = 2w
width = w
length = 2(5)
length = 10 yards
The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?
Answer:
P = 48
4 + 4(two given lengths) = 8
48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)
40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm