Beatrice spent a total of $54 at
a restaurant. The bill is shown
in the table. The prices include
tax. What percent of the total
check did Beatrice leave as a
tip for her server? Choose the correct answer below
Answer
C. .20 or 20%
Explanation
The table is
2 drinks $4.50
Entree $13.50
Entree $16.00
2 desserts $11.00
Total $45.00
9/45=20%
A room measure 9.68 metres long and 6.2 m wide Find its area Also find how many tiles will be needed to pave if the size of a tile 22cm × 10cm .
Answer:
Area is easy, just do 9.68*6.2 which = 60.02 (Rounded to the nearest hundreth)
Step-by-step explanation:
For how many tiles we need
60.02 m is the area of the room, each tile would be 22cmx10cm
There are 100 cm in 1 m
What we can do is find the area of the tiles
22x10 which is 220 CM
220CM is 2.2M
Now that we know the area of the tile is 2.2M we can do 60.02/2.2
Which would be 27.28 tiles (Rounding to the nearest hundreth)
Stephanie scored 18 points fewer than her friend Jenna.
If Stephanie scored 12 points, how many points did Jenna
score? HELP PLEASEEE
Answer:
30 points
Step-by-step explanation:
Points by Jenna = J
=> J - 18 = 12
=> J = 30 points
Peter Chibwe works at Company XYZ. The following information relates to his performance at work for a single week Normal working hours per week 40 hours Hours worked 48 hours Number of units produced 400 units Normal rate per hour K125.00 Overtime rate 1½ of normal rate Production bonus for every 50 units produced K45.00 Deductions are as follows: i. Pension fund is 7.5% of the normal wage ii. PAYE is 20% of the taxable income on gross wage iii. Unemployment Insurance Fund is 1% of the normal wage and is tax deductible iv. Medical aid is 5% of the normal wage v. K10.00 per week for union membership REQUIRED: (A) Calculate the monthly net wage for Peter Chibwe showing all the detailed calculations (7 marks) (B) Prepare a payslip for Peter Chibwe for the month of February 2022 (7 marks) (C) Discuss fully the remuneration method(s) used by Company XYZ. (6 marks)
This question discusses Payroll Administration and Management.
Please note that based on the information provided, the weekly gross is K 6,860 the Net Pay is K 4,957 while the monthly Net Pay is K19,828.00.
What is the Definition of Payroll Administration?Payroll Administration and Management is the activity involved in making sure that the compensation and benefits of the employee for the period that they have spent working are well organized, computed, and administered.
The steps to the solution is given below:
1) Note that the information given above is for one week.
The rate per hour is: K125/Hour.
The rate for overtime is 1.5 of the normal rate
Performance Bonus is K45 for every 50 units.
Given the above, the gross pay for the week is:
Normal Pay + Overtime Pay + Performance Bonus Pay.
a) Normal Pay is given as 125 * 40 = K5,000
b) Overtime Pay is given as (125*1.5) * 8 = K 1,500
c) Performance bonus is given as 45 * (400/50) = K360
d) Total Gross therefore is given as 5,000 + 1,500 + 360 = K 6,860
If gross pay is $6,860, Net Pay is calculated by removing deductions.
Deductions are:
Pension fund = 7.5% of K 6,869 = K 514.5
PAYE Tax = 20% of (95% of 6,869) = K 1,310.24 This is because medical aid is non-taxable.
Employee Insurance = 1% of K 6,860= K 68.6
Union Membership = K 10
The Total Deduction, thus, is = 514.5 + 1,310.24 + 68.6 +10 = K 1,903.34
The Net pay = Gross Pay Less Deductibles
= 6,860 - 1,903
Thus The Net pay = K 4,957 /Week.
Therefore, his monthly net wage will be:
4, 957* 4 = K19,828.00/Month
B) The kind of remuneration method used by company XYZ is
Time Rate System. Under the time rate system, the worker is paid per hour, per day, per week, or per month.
It is normally used for workers who are engaged in highly skilled jobs or highly skilled services, for example, equipment testing, inspection of operations, toolmaking, etc.
See the link below for more about payroll management:
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Which TWO systems of equations have exactly one solution ?
6x−3y=3
2x−y=4
y=−2x−8
y=x+1
6x−3y=12
2x−y=4
x−4y=8
3x+2y=10
y=2x+1
y=2x−2
Answer: 2nd and 4th set
Step-by-step explanation:
1st set has no solution because the left side of the second equation is that of the first equation divided by 3, but the right side is not.
2nd set has 1 solution because it is the set of 2 lines with different slopes and y-intercepts.
3rd set has infinitely many solutions because multiplying the top equation by 1/3 gives you the bottom equation.
4th set has only solution for the same reason as 2nd set.
5th set has no solution because the two lines are parallel, but have different y intercepts, meaning they never intersect.
please answer my question correctly
Answer:
The First one is an Octagon, the second is a Pentagon
Step-by-step explanation:
An Octagon has 8 sides, Octo also means eight. A pentagon has 5 sides, Penta means Five.
The formula E= MHz, where E = gravitational potential energy , mass, g = gravity, and h= Height, is used to calculate gravitational potential energy. Solve this formula for h.
Determine whether a quadrilateral with vertices A(3, 7), B(1, - 1), C(- 6, - 3) and D(- 2, 5) is a parallelogram. Use the slope formula
Verify the identity.
Answer:
first blank box:
cos^2(a)
second blank box:
sin^2(a)
see image.
Step-by-step explanation:
Usually, to "verify" you work on the equation using algebra and identities...BUT ONLY CHANGING ONE SIDE. Keep the other side the same and try to make them look the same.
The step to get what's in the first blank box is multiplying
(1-cos a)(1+cos a)
which will make a difference of two squares.
The second blank is using a pythagorean identity that
cos^2 + sin^2 = 1
so
1 - cos^2 = sin^2
see image.
HOME IMPROVEMENT Percy is building a deck behind his house. He measures the location for his deck and rounds to the nearest tenth of afoot. If lumber costs $11.99 per square foot, then what is the possible range for the cost of the lumber needed to build the deck?
The cost would be at least _____, but less than _____
there is a photo under
The cost would be at least $755.1302 to build the deck.
The deck is in the shape of a rectangle. Therefore,
Area of rectanglearea = lwwhere
l = length
w = width
length = 9.4 ft
width = 6.7 ft
area = 9.4 × 6.7 = 62.98 ft²
Therefore,
1 ft² of lumber = $11.99
62.98 ft² of lumber = ?
cross multiply
cost = 62.98 × 11.99 = $755.1302
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Help please I don't know how to do this and it is due soon!!
Answer:
its an isosceles triangle not a right angle triangle.part A:
[tex]\sf AB^2 = (-2-1)^2 + (1+3)^2[/tex]
[tex]\sf AB^2 =25[/tex]
[tex]\sf AB =5[/tex]
[tex]\sf AC^2 = (2-1)^2 + (4+3)^2[/tex]
[tex]\sf AC^2 = 50[/tex]
[tex]\sf AC = \sqrt{50}[/tex]
[tex]\sf AC = 5\sqrt{2}[/tex]
[tex]\sf BC^2 = (2--2)^2 + (4-1)^2[/tex]
[tex]\sf BC^2 = 25[/tex]
[tex]\sf BC = 5[/tex]
use the formula:
short side² + short side² = long side²
( 5√2 )² + 5² = ( 5√2 )²
75 = 50
It's isosceles
A(-3,1)B(1,-2)C(4,2)[tex]\\ \rm\hookrightarrow AB=\sqrt{(-2-1)^2+(1+3)^2}=\sqrt{9+16}=\sqrt{25}=5[/tex]
[tex]\\ \rm\hookrightarrow BC=\sqrt{(2+2)^2+(4-1)^2}=\sqrt{16+9}=5[/tex]
[tex]\\ \rm\hookrightarrow AC=\sqrt{(4+3)^2+(2-1)^2}=\sqrt{50}[/tex]
AB=BCIts isosceles
g(n) = 9n² + 7n³
g'(n) = ?
Answer:
g'(n) = 3n(6 + 7n)
Step-by-step explanation:
g(n) = 9n² + 7n³
g'(n) = 18n + 21n²
g'(n) = 3n(6 + 7n)
»g(n) = 9n² + 7n³
»g'(n) = 9(2)n + 7(3)n²
»g'(n) = 18n + 21n²✅
Please help!
A (-2,3)
B (3, -2)
C (-8, 12)
D (12, -8)
Answer
A(-2,3)
Step-by-step explanation:
-4 6 are the actual coords, and then we do 1/2 so divide it by 2 -4/2 6/2 and u get the answer A
Answer:
A. (-2,3)
Step-by-step explanation:
Rectangle ABCD is dilated by a scale factor of 1/2.
Scale factor of k with a center of dilation at the origin:
[tex](x,y)[/tex] → [tex](kx,ky)[/tex]
It is given that rectangle ABCD is dilated by a scale factor of 1/2 with a center of dilation at the origin, then:
[tex](\frac{1}{2}x,\frac{1}{2}y)[/tex]
The coordinates of B are (-4,6). So, the coordinates of B:
[tex]B(-4,6)[/tex] → [tex]B(\frac{1}{2}(-4),\frac{1}{2}(6)[/tex]
[tex]B(-4,6)[/tex] → [tex]B(-2,3)[/tex]
The coordinates of B → (-2/3)
Hence, -2/3 is the correct answer.
[RevyBreeze]
Consider the equation -16 * 10^(6x) = -80
Solve the equation for x. Express the solution as a logarithm in base-10
x=
Approximate the value of x. Round your answer to the nearest thousandth
x=
The approximate the value of x in the equation -16 * 10⁶ˣ = -80 is 0.116.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the equation:
-16 * 10⁶ˣ = -80
Dividing both sides by -16:
10⁶ˣ = 5
Taking ln of both sides:
6xln(10) = ln(5)
Finding the value of x:
x = 0.116
The approximate the value of x in the equation -16 * 10⁶ˣ = -80 is 0.116.
Find out more on equation at: https://brainly.com/question/1214333
Answer this word question
Answer:
3x+1
Step-by-step explanation:
you first have x(your unknown variable)
Then you multiply x by 3 to get 33x you write it like this because 3×x would be confusing.
After you have 3x you then need to add 1 and therefore your new equation is 3x+1
What is the slope of (17, 11) (5, 0)
Answer: The slope is -11/-12
Step-by-step explanations
y2-y1/x2-x1 is the formula to find slope
Answer:
2
Step-by-step explanation:
use the set up y2-y1/x2-x1
17=x1
11=y1
5=x2
0=y2
2. In the diagram below of parallelogram ROCK, m ZC is 70° and mZROS is 65°. What is mZKSO?
Check the picture below.
please answer correctly thanks
mamaya napo pasahan ng 10 am pasagot po please
wag po lagi umasa sa brainly
Solve the system of equations.
y = -5x - 8
y = 4x + 1
a.
( 1, -3)
c.
( 3, 1)
b.
( -1, -3)
d.
No solution
Please select the best answer from the choices provided
A
B
C
D
Answer: B
Step-by-step explanation:
Setting the equations equal to each other,
-5x-8 = 4x+1
-8 = 9x + 1
-9 = 9x
x = -1, meaning y=-5(-1)-8 = -3.
Select the correct answer.
What is the solution of 5/2x-7=3/4x+14?
А.x=-6
В.x=6
C.x=8
D. r= 12
Answer:
D) x = 12
Step-by-step explanation:
we can change 5/2 to 10/4 and now have:
10/4x-7 = 3/4x + 14
we can subtract 3/4x from each side:
7/4x-7 = 14
add 7 to each side:
7/4x = 21
multiply each side by 4/7:
x = 84/7
x = 12
Help will give brainlest!
Answer:
1; 4; 3;
Step-by-step explanation:
i think this involves ratios>> if not, sorry-
Write this ratio as a fraction in simplest form without any units. 6weeks to 48 days
Answer:
1/8
Step-by-step explanation:
RatioA contrast, which exists between two particular numbers, is defined as ratio.6 weeks to 48 days6 : 48Equivalent Ratios1 : 82 : 163 : 244 : 325 : 406 : 487 : 568 : 649 : 7210 : 8011 : 8812 : 9613 : 10414 : 11215 : 12016 : 12817 : 13618 : 14419 : 15220 : 16021 : 16822 : 17623 : 18424 : 19225 : 20026 : 20827 : 21628 : 22429 : 23230 : 24031 : 24832 : 25633 : 26434 : 27235 : 28036 : 28837 : 29638 : 30439 : 31240 : 32041 : 32842 : 33643 : 34444 : 35245 : 36046 : 36847 : 37648 : 38449 : 39250 : 40051 : 40852 : 41653 : 42454 : 43255 : 44056 : 44857 : 45658 : 46459 : 47260 : 48061 : 48862 : 49663 : 50464 : 51265 : 52066 : 52867 : 53668 : 54469 : 55270 : 56071 : 56872 : 57673 : 58474 : 59275 : 60076 : 60877 : 61678 : 62479 : 63280 : 64081 : 64882 : 65683 : 66484 : 67285 : 68086 : 68887 : 69688 : 70489 : 71290 : 72091 : 72892 : 73693 : 74494 : 75295 : 76096 : 76897 : 77698 : 78499 : 792100 : 800Convert to fraction
6:48 is 6/48 as a fraction. Now simplify.
1. Find the GCD (or HCF) of numerator and denominator
GCD of 6 and 48 is 6
Divide both the numerator and denominator by the GCD
6 ÷ 6/
48 ÷ 6
Reduced fraction:
1/8
Therefore, 6/48 simplified to lowest terms is 1/8.
HELP ASAP PLSPLSPLS Question 8 (Fun-The-Blank Worth 6 points)
(05.03 LCJA polygon is shown
4 units
M
N
2 ore
3 urits
1.
R
7 units
square units input whole numbers only, such as 8.)
The area of polygon INOPOR S Area of a rectangle that is 12 square units Area of a rectange that is
Numerical Answers Expected!
Answer for Blank 1
Answer:
3
Step-by-step explanation:
(7 - 4) * (3 - 2) = 3
How many degrees has abc been rotated counterclockwise about the origin
Answer:
180 degrees
Step-by-step explanation:
The triangle ABC is rotated by 180 degrees.
What is a Triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices.
As per the given data:
We are given the diagram of a triangle on a graph and the diagram of its image after rotation also.
We have to find out that by what degrees the triangle ABC is rotated about the origin counterclockwise.
Furthermore, we can clearly see that the shape of the triangle is flipped about the origin, hence we can easily understand that the triangle is rotated by 180 degrees only, because if it's rotated by any other angle than 180 degrees it will not look like it's flipped rather it would look like unsymmetrical transformation about the origin.
The triangle ABC is rotated by 180 degrees.
Hence, The triangle ABC is rotated by 180 degrees.
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HELPPPP ASAP THIS IS DUE IN 5 MINUTES I WILL GIVE ALL MY POINTS!
A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 3300 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 60-kilogram crates that can be loaded into the shipping container.
Answer:
x </= (24000-3300)/60 or x </= 345
Please give question for the answer.
Answer:
[tex]f(x)=\sqrt[3]{x} \\a=5[/tex]
Step-by-step explanation:
[tex]f(x)=\sqrt[3]{x} \\a=5[/tex]
x=2y-1 solve this equation
3x+y=11
Step-by-step explanation:
substitute y into x
3(2y-1)+y=11
6y-3+y=11
add like terms
6y+y-3-11=0
7y-14=0
look for a common factor
7(y-2)=0
y-2=0
therefore y=0 or y=2
find x
if x=2y-1
x=2(0)-1
x=-1
if x=2y-1
x=2(2)-1
x=3
therefore (-1;0) and (3;2)
if you solve an equation and you end up with 0 = 6 that means the answer is 6?
Answer:
It means that the equation has no solution
Step-by-step explanation:
A 141 inch pipe is cut into two pieces. One piece is two times the length of the other. Find the lengths of the two pieces
Find the value of x that makes the quadrilateral a parallelogram.
Please help
Answer:
x = 2/3
Step-by-step explanation:
Since it's a parallelogram, the bisected parts of the diagonal must be equal
So 6x must equal 3x + 2:
6x = 3x + 23x = 2x = 2/3-Chetan K