Answer:
[tex] \frac{2257}{2400} [/tex]
Step-by-step explanation:
2400 - (120+23)
=2400 - 143
=2257
Therefore,
2257
2400
You have two different saving accounts.for A, the interest earned after 18 months is 12.00. For account B, the interest earned after 27 months is 27.00 Which account earned you the most interest in the first year? Explain your answer
Account A earned the most interest in the first year, since it earned 12.00 in 18 months compared to the 27.00 earned by Account B in 27 months.
Which account earned you the most interest in the first year?This means that Account A earned 12.00 in 1 year, while Account B only earned 9.00 in the same time period.The account that earned you the most interest in the first year depends on the interest rate for each individual account.To find out which account earned you the most in the first year, we can use the equation A = P(1+r/n)^nt. In this equation, A stands for the amount of money in the account, P stands for the principal amount, r stands for the interest rate, n stands for the number of times the interest is compounded per year, and t stands for the number of years. For account A, plugging in the numbers given, we get A = P(1+12/18)^18. In this equation, P represents the principal amount in account A after the first year.For account B, plugging in the numbers given, we get A = P(1+27/27)^27. In this equation, P represents the principal amount in account B after the first year. By comparing the two equations, we can determine which account earned you the most interest in the first year.If we compare the two equations, we find that account B earned you more interest than account A in the first year because the interest rate for account B was higher than the interest rate for account A. Therefore, account B earned you the most interest in the first year.To learn more about earning interest at different rates refer to:
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The diagram shows a prism. 1m 2m front 2m 1m 2m side front elevation Draw the front elevation and the side elevation of the prism on the grids. Use a scale of 2 squares to 1 m. side elevation
The required Front view and a Side view of the given prism have been shown.
What is 3d geometry?3D geometry is the study of shapes in 3D space using three coordinates: x-coordinate, y-coordinate, and z-coordinate. To discover the exact location of a point in 3D space, three criteria are required.
Here,
"Front view" and "side view" refer to two different perspectives of an object or a scene. "Front view" is a perspective of the object or scene as seen from the front, and "side view" is a perspective of the object or scene as seen from the side.
Thus, the required Front view and Side view of the given prism has been shown.
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Every 10 seconds in escalator step rise is 6 feet
a)
Think of this as a graph
Time (x)-10-20-30-40
Distance escalator rises (feet)
b) Draw a graph to represent the situation. All axis must be properly labeled using appropriate skills that at least four data points fit on the graph c) what is the slope line
d) interpret the unit rate
e) what is the equation of the line
The equation y = 0.60x. The 0.60 represents the 0.60 feet in each second rise. The table is completed below.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Every 10 seconds in the escalator step rise is 6 feet.
Let 'y' be the number of feet and 'x' be the number of seconds. Then the equation is given as,
y = 0.60x
Then the table is given as,
Time (x) Distance escalator rises (feet)
10 6
20 12
30 18
40 24
The 0.60 represents the 0.60 feet in each second rise.
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Mr. Vivaldi is getting ready for the spring orchestra concert.
Kurt, Sophia, and Franco had a paper airplane-throwing contest after school. Kurt's airplane flew 8.6 yards. Sophia's airplane flew 2.2 yards farther than Kurt's airplane. Franco threw his airplane 1.5 times as far as Sophia's airplane. How far did Franco's paper airplane fly?
Write your answer as a whole number or decimal.
Answer:
Sophia's airplane flew 8.6 + 2.2 = 10.8 yards.
Franco threw his airplane 1.5 times as far as Sophia's airplane, which means that Franco's airplane flew 1.5 * 10.8 = 16.2 yards.
Therefore, Franco's paper airplane flew 16.2 yards.
Answer:
Franco went 16.2 yards
Step-by-step explanation:
8.6 + 2.2 = 10.8
10.8 x 1.5 = 16.2
(Slope LC) What is the slope of the linear relationship?]
The slope of the given linear relationship is; 4/5
How to find the slope of a linear relationship?Slope tells us that a unit change in x, which is the independent variable will result in a change in y by the amount of b. Thus;
slope = change in y/change in x
Slope = rise/run.
In terms of two coordinates, the slope can be expressed as;
slope = (y₂ - y₁)/(x₂ - x₁)
From the graph attached, we are given the two coordinates as;
(-3, -2) and (2,2)
Thus;
Slope = (2 - (-2))/(2 - (-3))
Slope = 4/5
This is the slope of the linear relationship.
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State the domain and range for the following relationThen determine whether the relation represents a function \{(4, 7), (- 3, 7), (6, 9), (4, 12)\}
Answer:
Domain {-3, 6}
Range: 7, 12}
Not a function
Step-by-step explanation:
Domain
Domain is the set of all x values which result in real and defined values for y
Range
Range is the set of y values that are possible from the values of x in the domain
Both are expressed in the form {min-value, max-value}
For x we see the minimum is -3 and maximum is 6
So domain = {-3, 6}
For y values we see the minimum is 7 and maximum is 12
So range = {7, 12}
A function can have only one output(y) for a specific input(x)
Here we see that for different values of x, x = 4 and x = -3, we get the same y-value
Hence it is not a function
In triangle ABC, the measure of angle B is 21 less than four times the measure of angle A and the measure of angle C is more than five times the measure of angle A. Find the measure, in degrees, of each angle of triangle ABC.
Answer:
Step-by-step explanation:
Which reason completes the proof for step 6? A. Definition of slope B. Definition of midsegment C. Definition of median D. Definition of midpoint
The reason that completes the proof for step 6 is given as follows:
D. Definition of midpoint.
How to obtain the midpoint of a segment?The midpoint between two points is the halfway point between them, hence it is found obtaining the mean of the coordinates of each endpoint.
Thus the coordinates of P' are obtained as follows:
x: (2r + 0)/2 = r.y: (2s + 0)/2 = 2.(applying the mean of the coordinates of x and y for the endpoints of the segment P').
The coordinates of R' are obtained as follows:
x: (0 + 2t)/2 = t.y: (0 + 0)/2 = 0.The coordinates of Q' are obtained as follows:
x: (2r + 2t)/2 = 2(r + t)/2 = r + t.y: (2s + 0)/2 = s.Meaning that the correct option is given by option D.
Missing InformationThe problem is given by the image presented at the end of the answer.
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Recall that during the 2013-2014 academic year, the school board in Wichita Falls, Texas, began planning for new and renovated high school facilities. A committee of community members was formed to explore various options for a bond proposal to pay for the plan¹. The committee presented three options to the board of trustees
Plan A has the majority of votes.
What is percentage?A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Given this, the school board in Wichita Falls, Texas, began planning for new and renovated high school facilities.
There is a total of 3 + 3 +1 = 7 votesthus we can say the total number of members who voted is 7.
For the majority, more than 50% of votes are required. In this case, 50% of 7 = 3.5Therefore, 4 votes are required for the majority.
Here, no plan received 4 Ist choice votes.Therefore, there is no plan that receives a majority of votes.
In the instant run-off method, the candidate with the lowest 1st choice votes is eliminated and his votes are transferred to the candidate of the next choice. This process continues till a majority winner is found. In the initial table:1st choice votes to A=3
1 choice votes to B=3 1st choice votes to C=1
So, C is to be eliminated and his 1 vote is to be transferred to A (as A is the next choice after C in column 3 of the table)
First choice vote to A = 3 + 1 = 4
First choice vote to B = 3
Since A gets the majority of votes A is the winner
Thus, Plan A has the majority of votes.
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Complete question:
A= xIx is a letter in the word tale
What is the cardinal number?
Answer:
Assasination
Step-by-step explanation:
TBH I think this is it. I did some research and this is what I got. weird huh?
Hope this helps :)
Choose a symbol that correctly compares the fractions below 5/8 and 10/16
Answer: 5/8 "=" 10/16
Step-by-step explanation: To compare the fractions 5/8 and 10/16, we need to find a common denominator. In this case, the least common multiple of 8 and 16 is 16.
So, we can write the fractions as:
5/8 = (52)/(82) = 10/16
So the fractions are equal, therefore, the symbol that correctly compares them is = (the equal sign).
Answer: =
Step-by-step explanation:
In order to compare the fractions, we must make sure that the fractions have common denominators. Because 8 is a factor of 16, we will convert 5/8 into a fraction that has a denominator of 16. To do this, we need to multiply the numerator and denominator by the same number, in this case, 2 since that is what multiplies by 8 to get 16. (5/8) * (2/2) = 10/16 (you can just multiply across the top and bottom to solve). Now, we can compare. 10/16 is the same as 10/16, so an = would be the appropriate symbol. Hope this helps!
Square ABCD has a diagonal AC with the given vertices. Find the coordinates of the remaining vertices.
A(2, 2) and C(6, - 2)
The coordinates are ?
The coordinates of the square are 2.8
What is a square?A square is a polygon whose all sides are equal. the if the sides are equal, the coordinates of the vertices are also equal to each other.
The length of the diagonal of the square is gotten by the use of the formula for distance between two points
d = √(y₂-y₁)²+(x₂-x₁)²
distance = √(6-2)²+(-2-2)²
distance = √4²+-4²
Distance = √16+16
distance = √32 = 5.7 units
This implies that the sides of the square = 5.7/2 = 2.8
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A person takes up 20 inches of space on a stadium bleacher. If one row of bleachers is 100 feet long and
there are 25 rows of bleachers, how many people can fit into the stands?
Answer:
Generally, figure the average person takes up 18 inches of space on a bleacher seat. That is the industry standard. Therefore, for 4-row bleachers, consider these lengths and seating capacity. 7.5 feet – 20 seats (90 inches divided by 18 inches equals 5 seats, times 4 rows equals 20 seats).
Step-by-step explanation:
There is a straight road leading from the town of Timpson to Ashburn 60 miles east and 12 miles north. Partway down the road, it junctions with a second road, perpendicular to the first, leading to the town of Garrison, which is located 22 miles directly east of the town of Timpson.
Below is a diagram that models this problem using lines. Which of the following could be the equation for the line representing the second road leading from the junction to Garrison?
There is a straight road leading from the town of Timpson to Ashburn 60 miles east and 12 miles north. Partway down the road, it junctions with a second road, perpendicular to the first, leading to the town of Garrison, which is located 22 miles directly east of the town of Timpson. The road junction to Timpson is option B. 20.57 miles.
How did we get the value?To find the distance between Timpson and the junction point, we can use the Pythagorean theorem. Let's call the distance "d".
d^2 = (60 - 22)^2 + 12^2
d^2 = 38^2 + 144
d^2 = 1444
d = √(1444) = 38.03
So the distance between Timpson and the junction point is 38.03 miles. The distance between the junction point and Ashburn is simply 22 miles, so the total distance from Timpson to Ashburn is 20.57 miles (38.03 + 22).
Therefore, the distance between the road junction to Timpson is option B. 20.57 miles
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The complete question goes thus:
There is a straight road leading from the town of Timpson to Ashburn 60 miles east and 12 miles north. Partway down the road, it junctions with a second road, perpendicular to the first, leading to the town of Garrison, which is located 22 miles directly east of the town of Timpson. How far is the road junction to Timpson
A. 21.57miles
B. 20.57miles
C. 10.57miles
D. 57.12 miles
Anne has opened up a systematic savings account into which she deposits $500 per month compounded monthly at a rate of 7.8%. How long will it take her to reach $500,000? Round your answer to the nearest tenth of a year.
Help, please!! I need a step-by-step tutorial. Or just the formula and how is set up. Thank you <33
Answer:
Step-by-step explanation:
The formula for calculating the time it takes to reach a target amount with a constant periodic deposit is given by
Time = ln(Target Amount / (Periodic Deposit x (1 + Interest Rate)^0)) / ln(1 + Interest Rate)
In this case, we have Target Amount = 500,000, Periodic Deposit = 500, and Interest rate = 7.8%. Plugging the values into the formula gives
Time = ln(500,000 / (500 x (1 + 0.078)^0)) / ln(1 + 0.078)
Time = ln(500,000 / 500) / ln(1.078)
Time = ln(1,000) / ln(1.078)
Time = 8.98 years
Rounding to the nearest tenth of a year, the answer is 8.9 years.
graph y = 6/5x - 6/5
The ordered pairs are (1,0), (2,6/5),(3,12/5)
What is the solution to a linear equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
Given here: The equation as y = 6x/5 - 6/5
putting (1,0) in the equation we get 6×1/5-6/5=0
Similarly we can find the ordered pair as y = 6/5x - 6/5
Hence, The ordered pairs are (1,0), (2,6/5),(3,12/5)
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In Wisdom Mind School, the front bell rings every 25 minutes, while the back
bell rings every 35 minutes. If they were set at the same time, after how many
minutes will they ring at the same time?
Answer:
175 mins
Step-by-step explanation:
LCM of 25 and 35 is 175 which is when the next bell together will happen.
(04.03 LC)
Which of the following fractions compares BC to BD?
O
213
O
5/2
-3-
-24
2
O
1
O
-1-
B
T
C
2
D
3 4
5
6
The fraction compares BC to BD is 2/3. Therefore, option A is the correct answer.
What is distance formula?The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].
Given that, the coordinate points are B(0,1), D(3 ,1) and C(2, 1).
Here, BC is
BC=√[(2-0)²+(1-1)²]
BC=2 units
BD is
BD= √[(3-0)²+(1-1)²]
BD= 3 units
The fraction compares BC to BD is 2/3
Therefore, option A is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
Which of the following fractions compares BC to BD? coordinate plane with segment BD at B(0,1) and D(3 ,1); point C is on segment BD and (2, 1).
Answer choices:
A) 2/3
B) 5/2
C) 2/5
D) 3/2
Answer:
2/5
Step-by-step explanation:
d = √[(x2 - x1)² + (y2 - y1)²]
For segment BD:
BD = √[(5 - 0)² + (1 - 1)²]
= √[5² + 0²]
= √25
= 5
For segment BC:
BC = √[(2 - 0)² + (1 - 1)²]
= √[2² + 0²]
= √4
= 2
There is 25 pounds of dog food in a bag. There are approximately 2.2 kilograms in 1 pound. PLEASE HELP ME !! THANK YOU SMM!!
Which statement is true?
A. There is approximately 55 kilograms of dog food in the bag, because 1/2.2 = 55/22.
B. There is approximately 11.36 kilograms of dog food in the bag, because 1/2.2 = 25/11.36
C. There is approximately 55 kilograms of dog food in the bag, because 1/2.2 = 25/11.36
D. There is approximately 11.36 kilograms of dog food in the bag, because 1/2.2 = 11.36/25
Answer:
C
Step-by-step explanation:
kilograms x pounds of dog food = ?
2.2 x 25 = 55
process of elimination;;;
A- correct answer, wrong setup
B- wrong answer, correct setup
C- correct answer, correct setup. makes the most sense
D- wrong answer, wrong setup
Find the value of x that makes the quadrilateral a parallelogram.
Answer:
x=2/3
Step-by-step explanation:
If I am correct, I would make them both equal each other.
6x=3x+2
3x=2
x=2/3
6(2/3)=3(2/3)+2
4=2+2
4=4
Classify each of the following attributes as either categorical or numerical. For those that are numerical, determine whether they are discrete or continuous.
(a)
number of students in a class of 32 who turn in a term paper before the due date
categorical
numerical (discrete)
numerical (continuous)
(b)
gender of the next baby born at a particular hospital
categorical
numerical (discrete)
numerical (continuous)
(c)
amount of fluid (in ounces) dispensed by a machine used to fill bottles with soda pop
categorical
numerical (discrete)
numerical (continuous)
(d)
thickness of the gelatin coating of a vitamin E capsule
categorical
numerical (discrete)
numerical (continuous)
(e)
birth order classification (only child, firstborn, middle child, lastborn) of a math major
categorical
numerical (discrete)
numerical (continuous)
The correct classifications for these variables are a = numerical discrete, b= categorical, c= numerical continuous, d= numerical continous, e= categorical.
What is the difference between a numerical and a categorical variable?As indicated by their name, numerical variables can be measured using numbers; here are some examples:
Weight of a person: 170 poundsDistance between two cities: 645 kilometersNumber of students in a class: 25 studentsOn the other hand, categorical variables fit into categories, for example:
Female vs Male
Dog vs cat
What is the difference between discrete and continuous?Discrete variables differ from continuous variables because they are obtained by counting, for example, the number of students in a classroom, while continuous variables need to be measured, for example, the distance.
Based on this the correct classification is:
A. Numerical (discrete) = the number of students in a class of 32B. categorical =gender of the next baby born at a particular hospitalC. Numerical (continuous) =amount of fluid (in ounces)D. Numerical (continuous) =thickness of the gelatin coating of a vitamin E E. Categorica, =birth order classification (only child, firstborn, middle child, lastborn)Learn more about variables in: https://brainly.com/question/17344045
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. The cylinder shown below
has a diameter of 5.2 cm on
the base and a height of 7.1
cm. Label the
measurements and find the
volume of the cylinder.
The new shark tank at the city aquarium is in the shape of a rectangular prism. It is 87 ft long by 36 ft wide by 15 ft deep. deep. To make the tank livable for the sharks, the aquarium workers treat the water using bags of salt. The amount of water a bag of salt can treat is known in cubic yards.
Find the volume of water in the tank in cubic yards. Use the table of conversion facts, as needed.
To make the tank livable for the sharks, a bag of salt must be added for each 1.1 yds3 of water. The aquarium doesn't have any salt on hand and the salt can only be purchased in whole bags. How many bags of salt must be purchased to treat the water?
If each bag of salt costs $4.85, how much must the aquarium pay for salt to treat all the water in the new shark tank?
Answer:
Step-by-step explanation:
Answer:
1. The volume of water in the tank in cubic yards can be calculated by multiplying the length, width, and depth of the tank in feet by the conversion factor of 0.037037 yds3/ft3:
87 ft x 36 ft x 15 ft x 0.037037 yds3/ft3 = 997.78 yds3
2. To treat the water, the aquarium must purchase 998 bags of salt, as 1.1 yds3 of water requires one bag of salt.
3. The aquarium must pay $4,835.30 for the salt to treat the water in the new shark tank. This is calculated by multiplying the number of bags of salt (998) by the cost of one bag of salt ($4.85).
I need help with this question for my homework please
[tex]\overline{A}[/tex] = {0, 1, 4, 5, 6, 7, 8}, [tex]\overline{B}[/tex] = {2, 4, 7, 9}, A ∪ B = {0, 1, 2, 3, 4, 5, 6, 8, 9} and
A ∩ B = {3}.
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.
Given,
U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} is a universal set.
A = {2, 3, 9} and B = {0, 1, 3, 5, 6, 8}.
[tex]\overline{A}[/tex] = (U - A) = {0, 1, 4, 5, 6, 7, 8}.
[tex]\overline{B}[/tex]= (U - B) = {2, 4, 7, 9}.
A ∪ B = U - {7}.
A ∪ B = {0, 1, 2, 3, 4, 5, 6, 8, 9}.
A ∩ B = {3}
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The distance of a ball thrown upward is given by h(1) = -2t^2 + 12t - 10 meters. Find the velocity of the ball when it returns to the ground.
A. 3 m/s
B. 5 m/s
C. -8 m/s
D. -10 m/s
The velocity of the ball when it returns to the ground is -8 m/s
What is an equation?An equation is an expression composed of variables and numbers linked together by mathematical operations.
The distance of a ball thrown upward is given by:
h(t) = -2t² + 12t - 10
The ball hits ground when h(t) = 0, hence:
-2t² + 12t - 10 = 0
t = 5 or 1
The velocity (V) of the ball is:
V = dh/dt
V = (d/dt)(-2t² + 12t - 10) = -4t + 12
V = -4t + 12
The ball hits ground when t = 5 or 1 s, hence:
V(1) = -4(1) + 12 = 8 m/s
V(5) = -4(5) + 12 = -8
The velocity on the ground is -8 m/s
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Quick Help please
I don’t understand please answer all four.
Answer:
To find f(-3), substitute -3 for x in the equation for f(x):
f(-3) = 2(-3) + 5 = -6 + 5 = -1
Answer:
f(-3) = -1
To find g(x) - h(x), first substitute x into both g(x) and h(x) and then subtract h(x) from g(x):
g(x) - h(x) = -3x^2 + 2x - 6 - (-4 - x) = -3x^2 + 3x - 2
Answer:
g(x) - h(x) = -3x^2 + 3x - 2
To solve for x when f(x) = h(x), first substitute x into both f(x) and h(x), and then solve for x:
2x + 5 = -4 - x
3x = -9
x = -3
Answer:
x = -3
To determine which of the functions are linear, we need to look at the degree of the polynomials in each function. Linear functions have a degree of 1, while non-linear functions have a degree greater than 1.
f(x) = 2x + 5 is linear because it has a degree of 1
g(x) = -3x^2 + 2x - 6 is non-linear because it has a degree of 2
h(x) = -4 - x is linear because it has a degree of 1
Answer:
f(x) and h(x) are linear, while g(x) is non-linear.
Please please look at the picture and answer the question thank you
Answer:
[tex]y = 3x - 1[/tex]
Step-by-step explanation:
Let's define the terms we are given to understand what the question is asking us to do:
⭐What is a linear function?
an equation that looks like a straight line when graphedthe highest exponent is 1⭐What is slope-intercept form?
it is one way you can write the equation of a linear function[tex]y = mx + c[/tex]m = the slope (how steep the line is)c = the y-intercept (the y-value for when x = 0)Thus, we need to write the equation of the table in slope-intercept form.
To do so, we can first find the y-intercept (c).
When x = 0, y = -1.
Therefore, the y-intercept (c) of the equation is -1.
Substitute this value into the slope-intercept form equation.
[tex]y = mx - 1[/tex]
Next, to find the slope, we have to use this formula:
⭐[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex](x_1,y_1)[/tex] is a coordinate that you are given[tex](x_2, y_2)[/tex] is another coordinate you're givenI am going to choose the coordinates (1,2) and (2,5), but you can choose any other coordinates you are given that ISN'T (0,-1).
Substitute these coordinates into the slope formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{5-2}{2-1}\\m = \frac{3}{1}\\m = 3[/tex]
Therefore, the slope of this line is 3.
Substitute this value into the slope-intercept form equation.
[tex]y = mx - 1\\y = 3x - 1[/tex]
Hence, the equation of the linear function represented by the table is:
[tex]y = 3x - 1[/tex]
⭐if this response helped you, please mark it the "brainliest"!⭐
2. In 2000, Social Security tax was 7.5%, to the maximum income of $53,000. If Mary earned $61,711 in 2000, how
much Social Security did she pay?
Mary paid Social Security tax of $4,378.325 in 2000. This is calculated by multiplying 7.5% by the amount of income over the maximum taxable income of $4,378.325.
How much Social Security did she pay?The theory used in this question is the marginal tax rate, which is the tax rate that applies to the income earned over the maximum taxable income. In this case, the marginal tax rate is 7.5%, which is the Social Security tax rate.
Step 1: Calculate the amount of income over the maximum taxable income.
Maximum taxable income: $53,000
Income earned: $61,711
Amount of income over the maximum taxable income: $8,711 ($61,711 - $53,000 = $8,711)
Step 2: Calculate the Social Security tax.
Social Security tax rate: 7.5%
Amount of income over the maximum taxable income: $8,711
Social Security tax paid: $4,378.325 ($8,711 x 0.075 = $4,378.325)
To learn more about marginal tax rate refer :
brainly.com/question/10798743
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The table is missing numbers and a rule, can someone please help! only the table at the bottom, ignore the top portion!
Check the picture below.
