Interest, sales tax, and markups are all additional charges added to the original amount, but they differ in how they are calculated and when they are charged.
Explanation:Interest is similar to sales tax and markups in that they all involve additional charges or fees that are added to the original amount.
Interest is the extra amount paid for borrowing money, while sales tax is the extra amount paid on the purchase of goods or services, and markups are the extra amount added to the cost price to determine the selling price. They all increase the total cost or price of the transaction.
The main difference is that interest and markups are calculated as a percentage of the original amount, while sales tax is calculated as a percentage of the purchase price. Additionally, interest and markups are typically charged over a period of time or for a specific duration, while sales tax is a one-time charge at the point of sale.
What is the product of 4x15x25
Hexagon FUTBOL has coordinates F(3,6), U(5,2), T(2,-3), B(-3,-2), O(-5,1) and L(-2,5), and it is dilated by scale factor of five centered at origin.
What are the coordinates of F'U'T'B'O'L'?
Answer:
[tex]F'(15,\ 30),\ U'(25,\ 10),\ T'(10,\ -15),\ B'(-15,\ -10),\ O'(-25,\ 5),\ L'(-10,\ 25)[/tex]
Step-by-step explanation:
We known that ,
When a figure (with coordinate (x,y)) gets dilated by a scale factor k from origin (0,0) , then the coordinate of the new image will become :-
[tex](x,y)\to(kx,ky)[/tex]
Given : Hexagon FUTBOL has coordinates F(3,6), U(5,2), T(2,-3), B(-3,-2), O(-5,1) and L(-2,5), and it is dilated by scale factor of 5 centered at origin.
Then, the coordinates of F'U'T'B'O'L' will be :-
[tex]F(3,6)\toF'(5(3),\ 5(6))=F'(15,\ 30)[/tex]
[tex]U(5,2)\toU'(5(5),\ 5(2))=U'(25,\ 10)[/tex]
[tex]T(2,-3)\toT'(5(2),\ 5(-3))=T'(10,\ -15)[/tex]
[tex]B(-3,-2)\toB'(5(-3),\ 5(-2))=B'(-15,\ -10)[/tex]
[tex]O(-5,1) \toO'(5(-5),\ 5(1))=O'(-25,\ 5)[/tex]
[tex]L(-2,5) \toL'(5(-2),\ 5(5))=L'(-10,\ 25)[/tex]
Hence, the coordinates of F'U'T'B'O'L' will be :-
[tex]F'(15,\ 30),\ U'(25,\ 10),\ T'(10,\ -15),\ B'(-15,\ -10),\ O'(-25,\ 5),\ L'(-10,\ 25)[/tex]
What is the value of X?
A. 15
B. 30
C. 45
D. 60
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The graph of y = 4 – is shown.
Which statement about the graph is accurate?
The x-intercept of the graph is (4, 0).
The graph has no y-intercepts.
The maximum of the graph occurs at the y-intercept.
The minimum of the graph occurs at the x-intercept.
Answer:
B. The graph has two y-intercepts.
Step-by-step explanation:
Mrs. Traynor's class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class. Part A Round each factor to estimate the total cost ofthe students' field trip. Part B Use compatible numbers to estimate the total cost of the field trip.
Answer:
Part A:The total cost can then be estimated as 20 × 30 = $600
Part B: Estimating the total cost with compatible number = 25 × 20 = $500
Step-by-step explanation:
Part A
Rounding off a number simply means making the number simpler but the rounded value should be close to the actual number. The number could be rounded to the nearest ten, hundred or thousand. The field trip to the zoo involved 22 student and the cost for each student is $26. The question ask to round each factor before estimating the total cost of the student's field trip. The number of student rounded to the nearest ten is 20 and the cost for each student rounded to the nearest ten is $30. The total cost can then be estimated as 20 × 30 = $600
Part B
Part B request we use compatible numbers to estimate the total cost of the field trip. Compatible numbers are numbers that are easy to calculate mentally. This pairs of numbers are easy to add, subtract, divide and multiply mentally. Using compatible numbers the cost can be 25 and the number of student can be 20. Estimating the total cost = 25 × 20 = $500
Note the actual total cost is 26 × 22 = $572
Lots of boys in our class were keen on me I thought it was fun, felt honored, but was otherwise quite untouched. Which identifies the best meaning for the boldface term in the sentence.
Intellectually sharp
pointed or sharp-edged
Very strong and sensitive
romantically interested
Find the quotient. 48a 3 bc 2 ÷ 3abc
The quotient of the expression (48a³bc²) ÷ (3abc) will be 16a²bc.
What is division?Division means the separation of something into different parts, sharing of something among different people, places, etc.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (48a³bc²) ÷ (3abc)
Simplify the expression, then we have
⇒ (48a³bc²) ÷ (3abc)
⇒ 16a²bc
The quotient of the expression (48a³bc²) ÷ (3abc) will be 16a²bc.
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Prime factor of 220 and the answer in index form
The prime factors of the given number 220 in index form are [tex]2^2 \times 5 \times 11[/tex]
The prime factors of a number are the factors that have only two factors, 1 and the number itself.
Index form is defined as that number represented as an exponential expression or as a single number raised to another number.
An algebraic expression or a number that divides another number without leaving any remainder and the quotient is a whole number is called a factor.
The prime factors of 220 in ascending order are,
[tex]220 = 2 \times 2 \times \ 5 \times 11[/tex]
The prime factors of 220 in index form can be written as:
[tex]220 = 2^2 \times 5 \times 11[/tex]
Thus, the prime factor of 220 in the index form is [tex]2^2 \times 5 \times 11[/tex].
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Gabriela buys a basket of coconuts on sale for $22 before tax. The sales tax is 12% What is the total price Gabriela pays for the basket of coconuts?
A baseball player got 102 hits in the last 300 times at bat. Explain how you would find the percent of times the baseball player got a hit out of the number of times at bat.
Answer:
Sample Response: Divide the number of hits, 102, by the times at bat, 300. Then move the decimal 2 places to the right and add the percent sign to get 34%.
Step-by-step explanation:
Sample Response: Divide the number of hits, 102, by the times at bat, 300. Then move the decimal 2 places to the right and add the percent sign to get 34%.
The percent of times the baseball player got a hit out of the number of times at bat will be 34%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
A baseball player got 102 hits in the last 300 times at bat.
Then the percent of times the baseball player got a hit out of the number of times at bat will be
P = (102 / 300) x 100
P = 0.34 x 100
P = 34%
The percent of times the baseball player got a hit out of the number of times at bat will be 34%.
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Draw two number lines that show 0.200 and 1/5 are equivalent
mr.young has 30 times as many pencils as jack. the whole school has 200 times as many pencils as jack. if jack has 2 pencils, how many pencils does mr. young have?how many pencils does the whole school have?
Final answer:
Mr. Young has 60 pencils, and the whole school has 400 pencils, calculated by multiplying Jack's 2 pencils by 30 and 200 respectively.
Explanation:
Mr. Young has 30 times as many pencils as Jack. If Jack has 2 pencils, then to find out how many pencils Mr. Young has, we simply multiply Jack's number of pencils by 30:
Mr. Young's pencils = Jack's pencils × 30
Mr. Young's pencils = 2 × 30 = 60 pencils.
Similarly, the whole school has 200 times as many pencils as Jack. To find out how many pencils the whole school has, we multiply Jack's number of pencils by 200:
The whole school's pencils = Jack's pencils × 200
The whole school's pencils = 2 × 200 = 400 pencils.
Which statement is correct about relations and functions?
All relations are functions.
All functions are relations.
No relations are functions.
No functions are relations.
Find the value of -7 + 3(-12) ÷ (-3).
-16
-19
-40
5
If f( n ) = n 2 - n , then f(-4) is _____.
-20
20
12
-12
Audrey read that the area of a new shopping mall is 57,600square feet. What are the greatest and least possible actual areas of the mall if 58,000 square feet is an estimate to the nearest thousand?
At a dog park, there are 10 black dogs, 5 brown dogs, 2 white dogs, and 12 multi-colored dogs. For every 1 brown dog, there are 2 _____ dogs. A. Black B. White C. Multi-colored
Six times Jason's collection of books and one-third of Nathan's collection add up to 134 books. One-third of Jason's collection and Nathan's entire collection add up to 31 books. The number of books in Jason's collection is , and the number of books in Nathan's collection is .
Answer: The number of books in Jason's collection is 21 , and the number of books in Nathan's collection is 24 .
Step-by-step explanation:
Let x represent the number of books Jason has and y represents the number of books Nathan has .
Then , According to the question , we have
[tex]6x+\dfrac{1}{3}y=134..........................(1)\\\\\dfrac{1}{3}x+y=31.....................................(2)[/tex]
Multiply 9 in equation (1) and and 3 in equation (2), we get
[tex]54x+3y=1206..................................(3)\\\\x+3y=93.............................................(4)[/tex]
Subtract equation (4) from equation (3), we get
[tex]53x=1113[/tex]
Divide 53 on both sides, we get
[tex]x=21[/tex]
Put the value of x in (2), we get
[tex]\dfrac{1}{3}(21)+y=31\\\\\Rightarrow\ 7+y=31\\\\\Righarrow\ y=24[/tex]
Hence, The number of books in Jason's collection is 21 , and the number of books in Nathan's collection is 24 .
on the first play the football team loss 6 yards. on the second play the team lost 5 yards. what was their total?
Which Set of numbers are ordered from least to greatest?
7, |-4|, -7, 0, -|3|, 3
-|3|, -7, 0, 3, 7, |-4|
-7, -|3|, 0, 3, |-4|, 7
7, |-4|,3,0, -|3|, -7
Evaluate 6j+23+kl−3, when j=3, k=7, and l=33. Enter your answer in the box.
it is 19. i just took the test.
Evaluate the expression 7x2y, when x = 4 and y = 2.
The solution of the expression 7x2y is 112.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is 7x2y and the values x = 4 and y = 2.
The expression will be solved as:-
E = 7x2y
E = ( 7 x 4 x 2 x 2)
E = 28 x 4
E = 112
Therefore, the solution will be 112.
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what part of the engine is shown at point "A" in the above figure
thirty two divided by the opposite of 4
When 32 is divided by opposite of 4 then result is - 8.
Here,
The statement is;
''thirty two divided by the opposite of 4''.
What is additive inverse ?
Additive inverse of a number is such a number when the original number and it's additive inverse is added we get zero.
Now,
Since, 4 + ( - 4 ) = 0.
So, the additive inverse of 4 is - 4.
Hence, According to the given question we have to obtain the result when 32 is divided by opposite of 4.
Here, opposite of 4 means additive inverse of 4 which is -4.
⇒ 32 ÷ -4 = - 8.
Hence, When 32 is divided by opposite of 4 then result is - 8.
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Mandy wants to put some lace trim around the outside of a round tablecloth she expanded the original tablecloth had a radius of 2 feet and a circumference of 12.56 Ft if the tablecloth now has a radius of 3 ft is 15 ft of lace enough explain
Answer:
45 feet of lace is not enough, because the tablecloth would need 50.24 feet of lace to go around the outside.
Step-by-step explanation:
Solve
You know that
C
d
= π for all circles.
C
2 × r
=
3.14
1
Write a proportion using 2 × r for d.C
2 × 8
=
3.14
1
Substitute the given values.C
16
=
3.14
1
Multiply.C
16
=
3.14 × 16
1 × 16
Since 1 times 16 is 16, multiply 3.14 by 16 to find the value of C.
C
16
=
50.24
16
C = 50.24
The circumference of the expanded tablecloth is 50.24 feet.
45 feet of lace is not enough, because the tablecloth would need 50.24 feet of lace to go around the outside.
Zuma bought a snowboard with a regular price of $295. It was on sale at a 25% discount. There was an 8% tax on sale price. How much did Zuma spend to buy the snowboard?
To calculate the total amount Zuma spent on a snowboard, first determine the sale price by subtracting the discount from the original price, then add the sales tax to the sale price. Zuma spent a total of $238.95 on the snowboard after a 25% discount and an additional 8% sales tax.
Explanation:To find out how much Zuma spent to buy the snowboard, we have to first calculate the discounted price of the snowboard and then add the sales tax to it.
Step 1: Calculate the discount amount by multiplying the original price by the discount rate in decimal form.
Discount = Original Price × Discount Rate
Discount = $295 × 0.25 = $73.75
Step 2: To find the sale price, subtract the discount amount from the original price.
Sale Price = Original Price - Discount
Sale Price = $295 - $73.75 = $221.25
Step 3: Calculate the sales tax by multiplying the sale price by the tax rate in decimal form.
Sales Tax = Sale Price × Tax Rate
Sales Tax = $221.25 × 0.08 = $17.70
Step 4: To find the total amount spent, add the sales tax to the sale price.
Total Spent = Sale Price + Sales Tax
Total Spent = $221.25 + $17.70 = $238.95
Zuma spent $238.95 to buy the snowboard.
7/12 × 3/7 × 1/2 = ?
Please include steps!!!!!
2H2O → 2H2 + O2
Describe the mass of the reactants and products given the balanced chemical reaction.
A) The mass of the products is
2
3
that of the reactants.
B) The mass of the reactants equals the mass of the products.
C) The mass of the reactants is less than the mass of the products.
D) The mass of the reactants is greater than the mass of the products.
Answer:
Option (B) is correct.
The mass of the reactants equals the mass of the products.
Step-by-step explanation:
According to law of conservation of mass :
In a balanced chemical equation, the mass of reactants is always equal to the mass of products.
Here, Water [tex]2H_{2}O[/tex] is the reactant which has 4 units of Hydrogen and 2 units of oxygen.
and [tex]2H_2+O_2[/tex] are products which also has 4 units 4 units of Hydrogen and 2 units of oxygen.
Thus, The mass of the reactants equals the mass of the products.
Thus, option (B) is correct.
Write an equation that represents the following problem. There are two cell phone plans available from Cell Phones R Us company. Plan A charges $35 a month plus $0.05 for every text message. Plan B charges $50 a month plus $0.01 for every text message. How many text messages do you need to send in order for Plan A to cost the same as Plan B?
35 + 5m = 50 + m
50 + 0.05m = 35 + 0.01m
35 + 0.05m = 50 + 0.01m
35 + m = 50 + 5m
Answer:
c 35+0.05m=50+0.01
Step-by-step explanation:
because the person who commented said
the sum of twice a number and 17 is 55. Find the number. Explain also if possible
The number is 19.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The sum of twice a number and 17 is 55.
So, let the number be x
2x+ 17= 55
2x = 55 - 17
2x = 38
x= 19
Hence, the number is 19.
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What is the net force on this object? Small box with dot in the middle. Arrows originate at dot. Arrow up and Arrow down are same length. Arrow up labeled F sub norm equals 20 N and Arrow down labeled F sub grav equals 20 N. Arrow to the right is longer than arrow to the left. Arrow to the right is labeled F sub app equals 22 N and arrow to the left is labeled F sub frict equals 14 N. 0 newtons 8 newtons 22 newtons 36 newtons
Answer:
The net force is 8N.
Step-by-step explanation:
Consider the provided information.
Two forces cancel each other if they are in opposite direction and the forces are equal, the net force is zero in this case.
Now consider the figure 1:
Here, vertical forces (up and down) cancel each other and horizontal forces do not cancel each other, thus the force is unbalanced.
Calculate the net force as shown:
[tex]F_{net} = F_g + F_n + F_f + F_a[/tex]
Substitute [tex]F_g=-20, F_n=20, F_f =-14, F_a=22[/tex] in above formula.
[tex]F_{net}= -20 + 20 -14 + 22 = 8 N[/tex]
Hence, the net force is 8N.
Solve for x.
3(3x - 1) + 2(3 - x) = 0
x = 3/7
x = -3/7
x = 1/3
x = -1/3