Answer:
C) $1412.79; D) monthly salary of $2995; B) $18.94; C) $573.75
Step-by-step explanation:
Getting paid semimonthly means there will be two paychecks a month. There are 12 months in the year, so this is 24 checks per year. To find the gross pay on each check, divide the salary by 24:
33907/24 = 1412.79
There are 52 weeks per year. This means a weekly salary of 781 would be an annual income of 781(52) = 40,612.
A biweekly salary means getting paid every two weeks. This means there will be 52/2 = 26 paychecks per year; this gives an annual income of 26(1430) = 37,180.
Semimonthly pay means there will be 24 paychecks per year; this gives us an annual income of 24(1550) = 37,200
There are 12 months in the year; this gives us an annual salary of 12(2995) = 35,940. This is the smallest amount in our given choices.
25% = 25/100 = 0.25; this makes the tip 0.25(75.77) = 18.9425 ≈ 18.94.
11.25 per hour for 35 hours is 11.25(35) = 393.75. 4.5% commission is 4.5/100(4000) = 0.045(4000) = 180. Together this gives us
393.75+180 = 573.75
The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma house . How many cups of oil did your car leak ?
The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma's house. Therefore, it would be 2 cups and 4 oz leaked out.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
The oil tank in your car is leaking at a rate of 1.2 oz per mile driven. You drove 15 miles over to your grandma's house.
There are 8 oz in a cup
So,
8 x 3 = 24 which is too high
So,
8 x 2 = 16 leaving about 4 oz left
Therefore, it would be 2 cups and 4 oz leaked out.
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Wilma and Betty are playing a number game. Wilma tells Betty, "I'm thinking of a number between 1 and 10. If I take the number and add 4 to it and then multiply that by 3, I get 30." What number is Wilma thinking of?
Can y'all help me with 7,8,9?????
Chris draws an image of two lines that lie in the same plane and are equidistant at all points .Which of this describes the image drawn by Chris
The answer for this question is parallel lines
Help please pre calculus
put 7.6*10^-4 into the equation:
10log(1/7.6*10^-4)
this equals 31.19 db
Yulian works at the zoo feeding the animals. He puts water in the elephant habitat at the beginning of the day. This table shows how much water, in gallons, remains at different times during the day. Time (h) 2 4 6 8 Water remaining (gal) 43 36 29 22 What is the equation that represents Yulian’s situation, where x represents the time and y represents the amount of water? Enter your answer in the boxes. y−29=___ (x−___ )
Please help me?
3x - 4y = 7
3x + 2y = -5
When the second equation is subtracted from the first, the resulting equation is _____.
A. -6y = -12
B. -6y = 12
C. -2y = -12
D. 2y = 12
A line-marking machine lays down lime powder to mark two equal foul lines on a playing field. If each line for this field measures 311 feet, how many feet of lime powder will be deposited?
The machine will deposit 622 feet of lime powder to mark both foul lines on the playing field.
To solve this problem, we need to consider that the line-marking machine is laying down lime powder to mark two equal foul lines on a playing field. Each foul line measures 311 feet.
Since there are two lines of equal length, we simply need to add the lengths of these two lines together to find the total amount of lime powder deposited.
Here is the calculation:
Length of one foul line = 311 feet
Number of foul lines = 2
Total length of lime powder deposited = Length of one foul line [tex]\times[/tex] Number of foul lines
Total length of lime powder deposited = 311 feet [tex]\times[/tex] 2
Total length of lime powder deposited = 622 feet.
Which set of ordered pairs could be generated by an exponential function?
A. (1, 1) (2, 1/2) (3, 1/3) (4, 1/4)
B. (1, 1) (2, 1/4) (3, 1/9) (4 1/16)
C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)
D. (1, 1/2) (2, 1/4) (3, 1/6) (4, 1/8)
The correct answer is:
C. (1, 1/2) (2, 1/4) (3, 1/8) (4, 1/16)
Explanation:
In order to be an exponential function, the y-coordinates of each point should be multiplied by a constant to get the next y-coordinate. For C, we multiply by 1/2:
1/2(1/2) = 1/4; 1/4(1/2) = 1/8; 1/8(1/2) = 1/16
This means it is an exponential function.
A CD tower is shaped like a cylinder and holds CDs with a diameter of 4.75 inches. If the CD tower is 12 inches tall, what is the volume, in cubic inches, that it can hold? Use 3.14 for pi. Round your answer to the nearest hundredth.
212.54 in3
231.56 in3
850.16 in3
867.34 in3
Answer: 212.54 in3
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder: π r² h
Where:
r = radius (also r= diameter /2) h= heightReplacing with the values given:
r = 4.75/2 = 2.375 in
h = 12in
V = π r² h
V= π (2.375)² (12) = 3.14 (5.640625) 12 =212.54 in3
So, the correct option is 212.54in3
Feel free to ask for more if needed or if you did not understand something.
the weight of a full steel bead tire is approximately 800 grams, while a lighter wheel weighs only 700 grans. What is the weight of each tire in pounds? There are 453.592 grams in one pound. Round answers to 2 decimal places.
Answer:
Weight of full steel bead tire=1.76 pounds
weight of lighter wheel=1.54 pounds.
Step-by-step explanation:
it is given that:
The weight of a full steel bead tire is approximately 800 grams.
lighter wheel weighs only 700 grams.
Now we are given conversion that:
There are 453.592 grams in one pound.
Hence, 1 gram=1/453.592 pounds.
Hence, weight of a full steel bead tire is:
[tex]\dfrac{800}{453.592}pounds=1.76pounds[/tex]
Also weight of lighter wheel in pounds is:
[tex]\dfrac{700}{453.592}pounds\\\\=1.54 pounds[/tex]
((8x1.95) + (3x2.95) + 10.95) x 1.06
The table shows the weekly change in the water level in a swimming pool. After 4 weeks, the pool owner adds water to return the water level back to the original level. Raising the water level by 1 inch requires 320 gallons. The water hose has a flow rate of 5.75 gallons of water per minute. Will it take less than an hour to fill the pool back to return the water level to the original level? Explain your reasoning.
Week: 1 2 3 4
Change (in.) : - 1/2 3/4 -1 1/8 -1 3/8
The cost of admission to an amusement park is $9.50 plus $1.50 per ride. What would the cost be for someone who went on 9 rides? show your work and explain
The cost for someone who went on 9 rides is $23.
What is equation?An equation is a mathematical sentence that has two equal sides separated by an equal sign.
Given that, The cost of admission to an amusement park is $9.50 plus $1.50 per ride.
The equation can be made,
C = 9.50 + 1.50n, where n is the number of rides.
For n = 9
C = 9.50 + 1.50*9 = $23
Hence, The cost for someone who went on 9 rides is $23.
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HELP PLEASE!!!!!!!
Simplify 6r · s · 4rt.
10rst
10r2st
24r2st
Answer:
24r^2*s*t
Step-by-step explanation:
We can simply the following expression by looking at the which terms are common:
[tex]6*r*s*4*r*t[/tex]
We have two of r and according to the product rule we can add there exponents:
[tex]r*r=r^(1+1)=r^2[/tex]
Therefore the expression can be simplified as:
[tex]=6*4*s*t*r^2=24*s*t*r^2[/tex]
On a clear day you can see about 27 miles from the observation deck of the Empire State Building in New York City. Using the formula below, estimate the height in feet ,h, of the observation deck.
Answer:
Step-by-step explanation:
Alright, lets get started.
Distance we can see from the building d is given as 27 miles.
We are asked to find height of the building h
The formula is given as [tex]d=\frac{5}{6}\sqrt{h}[/tex]
Plugging the value of d
[tex]27=\frac{5}{6}\sqrt{h}[/tex]
Cross multiplying
[tex]\sqrt{h}=\frac{6}{5}*27[/tex]
[tex]\sqrt{h}=32.4[/tex]
Taking square root on both sides
[tex]h=1049.76[/tex]
So, the height of the observation desk is 1050 feet. : Answer
Hope it will help :)
Two separate single-factor anovas provide exactly the same information that is obtained from a two-factor analysis of variance.
a. True
b. False
PLEASE SHOW ALL YOUR WORK TO GET BRAINLIEST AWARD
Solve by using a matrix
{7x+2y=5
{13x+14y=-1
// Solve equation [2] for the variable y
// Plug this in for variable y in equation [1]
// Solve equation [1] for the variable x
// By now we know this much :
x = 1 y = -13x/14-1/14// Use the x value to solve for y
Can someone help?!
1. List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length:
Width:
Height:
Answer:
Length
Step-by-step explanation:
mhm
1) The dimensions of the rectangular prism or box which I found are:
Length: 6 inchesWidth: 2.5 inchesHeight: 12 inches (1 foot)2) The shape of the cross-section when the box is cut parallel to the base will be a rectangle.
3) Surface Area of the box is234 in²
4) Surface Area of the box if scaled up by a factor of 10 is 23,400 in²
5) Volume of the box: 180 in³
6) Volume of the box if scaled down by a factor of 1/10 is 0.18 in³
Given:
Dimensions of the box to be:
Length: 6 inches
Width: 2.5 inches
Height: 12 inches (1 foot)
1) The shape of the cross-section when the box is cut parallel to the base will be a rectangle.
2) To calculate the surface area of the box:
Surface Area = 2*(Length*Width + Length*Height + Width*Height)
Surface Area = 2*(6*2.5 + 6*12 + 2.5*12)
Surface Area = 2*(15 + 72 + 30)
Surface Area = 2*(117)
Surface Area = 234 in²
3) If the box is scaled up by a factor of 10, the new dimensions would be:
Length: 6 inches * 10 = 60 inches
Width: 2.5 inches * 10 = 25 inches
Height: 12 inches * 10 = 120 inches
To find the new surface area:
New Surface Area = 2*(60*25 + 60*120 + 25*120)
New Surface Area = 2*(1500 + 7200 + 3000)
New Surface Area = 2*(11700)
New Surface Area = 23,400 in²
4) The volume of the box:
Volume = Length * Width * Height
Volume = 6 * 2.5 * 12
Volume = 180 in³
5) If the box is scaled down by a factor of 1/10, the new dimensions would be:
Length: 6 inches * 0.1 = 0.6 inches
Width: 2.5 inches * 0.1 = 0.25 inches
Height: 12 inches * 0.1 = 1.2 inches
To find the new volume:
New Volume = Length * Width * Height
New Volume = 0.6 * 0.25 * 1.2
New Volume = 0.18 in³
Full Question:
Although part of your question is missing, you might be referring to this full question:
Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.
Complete the following. Show all work for calculations.
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length:
Width:
Height:
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of 1/10?
Please help with a multiple choice question!!
Relationship B has a greater rate than Relationship A. This graph represents Relationship A.
Which equations could represent Relationship B?
Select each correct answer.
A) y=1/2x
B)y = 3x
C)y = 2.2x
D)y = 1.4x
A cylinder has a radius of 6 inches and a height of 2 feet. Which of the following should be done first in order to find the volume of the cylinder?
convert the radius and the height to the same unit
determine the diameter of the circle
calculate the circumference of the circle
multiply the circumference of the circle by the height of the cylinder
How to find the rate of change of the volume of cone?
If UV = KL and KL = 6, then UV = 6
Is this statement true or false? If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.
The statement " If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are paralle " is true.
What is Property of Parallel lines?If the corresponding angles created by any two lines are equal, then the lines are said to be parallel.If the alternate internal angles created are equal, any two lines are considered to be parallel.If the alternate outside angles created are equal, any two lines are considered to be parallel.Given:
If two lines are intersected by a transversal so that the alternate interior angles are congruent, then the lines are parallel.
We know whenever we have parallel line intersected by transversal line then we Alternate Interior Angle, Corresponding Angle, Alternate Exterior Angle, are congruent.
Thus, the statement showing when we have Alternate Interior Angle congruent then the lines were be parallel lines.
Hence, the statement is True.
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2y+7x=4;x=5,10,15 PLEASE HELP ASAP!!!!
Final answer:
To solve the equation 2y+7x=4 for x=5, x=10, and x=15, substitute each value into the equation and solve for y to get y=-15.5, y=-33, and y=-50.5 respectively. It’s important to check the solutions by substituting them back into the original equation.
Explanation:
To solve the given linear equation 2y+7x=4 for different values of x (x=5, x=10, x=15), we need to substitute these values of x into the equation and solve for y. Here’s how it can be done:
For x=5: 2y + 7(5) = 4.If a 16-ounce box of candy costs $8.95, how much does one ounce cost? Round your answer to the nearest cent.
Mari has a part time job. She earns $7 an hour. She makes at most $143.50 a week. What is the greatest number of hours that she works?
Mari works at most 20 hours per week.
Explanation:To find the greatest number of hours that Mari works, we can divide her total weekly earnings by her hourly wage. In this case, we divide $143.50 by $7. The result is approximately 20.5. Since Mari cannot work a fraction of an hour, we round down to the nearest whole number. Therefore, the greatest number of hours she works is 20 hours.
Three consecutive odd integers have a sum of 33 . find the integers.
125m on the ground corresponds to 2.5 cm on a map. What is the actual distance between two objects if they are 4.2 cm apart on the map?
how can you use the properties of real numbers to simplify algebraic expressions