C- Charlie
M-Marty
C=24+M
C+M=130
_______
24+M+M=130
2M=106
M=53
C=53+24=77
C=77
The required, by accepting job B a student can earn $1361.5 more than Job A.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
here,
Job B lasts 4 months and pays $1,500.00 per month, with monthly raises of 10% of the previous month's salary.
Total earnings in 4 months,
= 1500 + 1.1×1500 + 1.1 [1.1×1500] + 1.1×[ 1.1 [1.1×1500] ].
= $6961.5
Job A lasts 16 weeks and pays $350.00 per week.
Total earnings in 16 weeks,
= 16 × 350 = $5600
The difference in earning = Job B - Job A
= 6961.5 - 5600
= 1361.5
Thus, the required, by accepting job B a student can earn $1361.5 more than Job A.
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Both last 4 months.
Job B = $412.50per/week
Job A = $1600per/month
1650*1.1 = 1815 Month 2's paycheck
1815*1.1 = 1996.5 Month's 3 Paycheck
1996.5*1.1 = 2196.15 Month 4's paycheck
1600*4 = $6400 Job A total
1650+1815+1996.5+2196.15 = $7657.65 Job B total
7657.65-6400 = 1257.65
$1257.65 more thant Job A
Answer:
We know that our world is in 3 dimensions i.e. there are three directions and so, three co-ordinates are required.
Now, if we have to find a position of an object lying on a flat surface, this means that there are only two directions and so, two co-ordinates are needed.
So, we can define the domain ( xy-axis ) in such a way that there are two axis - horizontal where right area have positive values & left area has negative values and vertical where upward side have positive values & downward side has negative values.
For e.g. if we want to find the position of a pen on the table. We will make our own xy-axis and see in which quadrant the pen lies.
Let us say that the pen lies at (2,3), this means that the position of pen is in the first quadrant or it is 2 units to the right of y-axis and 3 units up to the x-axis.
This way we can see that two directions are sufficient to find the position of an object placed on a flat surface.
Position of an object on a flat surface can be adequately described using measurements in the vertical and horizontal directions from a certain reference point. This concept is inherent in the use of vector quantities in physics which allow us to describe motion in two perpendicular directions.
To describe the position of an object on a flat surface, we can use two measures: the vertical and horizontal displacement from a certain reference point. This reference point is often called the origin in a Cartesian coordinate system, which is a type of frame of reference.
Let's imagine you're looking at a map. If we want to specify a location on that map, we can describe it in terms of its distance east (or west) and north (or south) from a particular point. This technique uses horizontal and vertical measurements to describe the position.
This concept is inherent in the idea of vector quantities. In two dimensions, a vector describes motion in two perpendicular directions, such as vertical and horizontal. The principle that motions along perpendicular axes are independent allows us to analyze these two directions separately. Each vector in this context has vertical and horizontal components, and the length of the vector (representing the object's total displacement) is calculated based on these two components.
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Answer:
4.110: Four and eleven hundredths,
4.10: Four and one tenths.
Step-by-step explanation:
We have been given two numbers. We are asked to write these number in words.
4.110:
Ones: 4
Tenths: 1
Hundredths: 1
Thousandths: 0
Therefore, our given number would be four and eleven hundredths.
4.10:
Ones: 4
Tenths: 1
Hundredths: 0
Therefore, our given number would be four and one tenths.
4.110: "four and one hundred ten thousandths"
4.10: "four and ten hundredths"
To write the numbers 4.110 and 4.10 in words, we can break them down into their individual parts and express them accordingly:
4.110:
The wholenumber part is 4, which can be written as "four."
The decimal part is 110.
To express this in words, we can say "one hundred ten."
Putting it all together, 4.110 can be written as "four and one hundred ten thousandths."
4.10:
The whole number part is 4, which can be written as "four."
The decimalpart is 10.
To express this in words, we can say "ten."
Therefore, 4.10 can be written as "four and ten hundredths."
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Usen 3.14
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)
Answer: See explanation
Step-by-step explanation:
Diameter = 8 inches
Radius = Diameter/2 = 8/2 = 4 inches
Height of the cylinder = 3 inches
Height of the cone = 18 inches
Volume of a cylinder = π r² h
= 3.14 × 4² × 3
= 3.14 × 16 × 3
= 150.72
Volume of a cone = 1/3 π r² h
= 1/3 × 3.14 × 4² × 18
= 1/3 × 3.14 × 16 × 18
= 301.44
From the answer gotten, we can deduce that the volume of the cone is twice the volume of the cylinder.