a shopkeeper sold watch allowing 15 percent dis.. and levying 13 percent vat .if the dis.. amount was rs 750 .find the vat amount
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \: Rs \: 552.5}}}}}[/tex]
Step-by-step explanation:
Given,
Discount percent = 15 %
Vat percent = 13 %
Discount amount = Rs 750
Vat amount = ?
Finding the Marked price ( MP )
[tex] \boxed{ \sf{Discount \: amount = \: discount\% \: of \: MP}}[/tex]
⇒[tex] \sf{750 = 15\% \: of \: MP}[/tex]
⇒[tex] \sf{750 = \frac{15}{100} \times MP }[/tex]
⇒[tex] \sf{750 = \frac{3}{20} MP}[/tex]
⇒[tex] \sf{ \frac{3}{20} MP = 750}[/tex]
⇒[tex] \sf{MP = 750 \times \frac{20}{3} }[/tex]
⇒[tex] \sf{MP = rs \: 5000}[/tex]
Finding the selling price
[tex] \boxed{ \sf{Selling \: price = \: MP - \: discount \: amount}}[/tex]
⇒[tex] \sf{5000 - 750}[/tex]
⇒[tex] \sf{Rs \: 4250}[/tex]
Finally, finding the Vat amount
[tex] \boxed{ \sf{Vat \: amount = Vat\% \: of \: selling \: price}}[/tex]
⇒[tex] \sf{13\% \: of \: 4250}[/tex]
⇒[tex] \sf{ Rs 552.5}[/tex]
Vat amount = Rs 552.5
Hope I helped!
Best regards!!
Which two values of n make this equation true? |n|= 3
Answer:
n= 3 and n = -3
Step-by-step explanation:
In general
|n| = a <=> n = a or n= -a (for n and a are real numbers)
David is a truck driver. He drives 546 miles each day. How many total miles does he drive in 12 days?
Answer:
6552
Step-by-step explanation:
546 x 12
Answer:
6,552 miles
Step-by-step explanation:
Daily: 546 miles
you need to find out how many miles he drives in 12 days, so that would be the daily amount by 12
546× 12 =6,552 miles
The quotient of a number t and 4.2 is at most 15.
Answer:
[tex]t \leq 63[/tex]
Step-by-step explanation:
Quotient of two numbers also means the result of the two numbers after division.
If the quotient of a number t and 4.2 is at most 15., this can be expressed using the inequality;
[tex]\dfrac{t}{4.2}\leq 15[/tex] (note that at most 15 means that the highest value we can have is 15 after taking the quotient of the number hence the reason of the inequality sign.)
On solving the inequality for the variable t
[tex]\dfrac{t}{4.2}\leq 15\\\\multiply \ both \ sides \ by \ 4.2\\\\\dfrac{t}{4.2}* 4.2\leq 15 * 4.2\\\\t \leq 63[/tex]
Hence t is at most 63
Jacob wanted to purchase a boat. The dealership offered the following payment terms for Jacob: a $800 down payment and $275 a month for 36 months. If Jacob makes all the payments on time, he will be refunded $400. What will be the total cost of the boat, if Jacob makes all of his payments on time?
Answer:
$10,700
Step-by-step explanation:
The total cost of the boat if Jacob makes all of his payments on time is $10,300
The total cost of the boat is the sum of the total amounts paid less the amount refunded for swift payment
Total amount paid = $800 + ($275 x 36) =
$800 + $9900 = $10,700
Amount refunded = 400
Total cost = $10,700 - $400 = $10,300
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Please Help Fast!! 15 Point and brainiest if correct
If a < b, then dividing both sides by a positive number will not flip the inequality sign. The inequality flips if you divide both sides by a negative number.
So if a < b, then a/3 < b/3 as well.
Answer: Less than sign (first choice)two fifths of the square of a number j
Answer:
2j²/5
Step-by-step explanation:
We know that j has to be squared so j², and to find 2/5's of that number we need to multiply it by 2/5.
j²×(2/5)
Now to simplify it we can multiply the j² to the numerator.
2j²/5
Which rays are part of line CF?
Answer:
A C and A F
Step-by-step explanation:
A C goes from A to C
A F goes from A to F
Given the demand equation 6x+p-50=0 and the supply equation 6x-p+14=0 where p is the unit price in dollars and x represents the quanity demanded in units of a thousand, determine the equilibrium quanity and equilibrium price
Answer:
The equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.
Step-by-step explanation:
Market equilibrium occurs in those markets in which the quantity demanded by consumers equals the quantity supplied by firms. In this state, the equilibrium point has its corresponding equilibrium quantity and price. That is, the equilibrium point is that point where, for a given price, the quantity supplied is equal to the quantity demanded.
The supply and demand curves represent the quantities that consumers are willing to buy and producers are willing to sell at that price respectively.
Being:
demand equation: 6x+p-50=0 ⇒ 6x= 50 - p ⇒ [tex]x=\frac{50 - p}{6}[/tex] the supply equation 6x-p+14=0 ⇒ 6x= p - 14 ⇒ [tex]x=\frac{p-14}{6}[/tex]Since when the market reaches equilibrium, the quantity demanded equals the quantity supplied and x representing the quantity demanded in units of thousand, then:
[tex]\frac{50 - p}{6}=\frac{p-14}{6}[/tex]
Solving, you get:
[tex]6*\frac{50 - p}{6}=p-14[/tex]
50 - p= p -14
50 - p +14 = p
50 +14= p + p
64= 2*p
[tex]p=\frac{64}{2}[/tex]
P=32 dollars
This value is the equilibrium price. Replacing this value in the demand and supply equation, the equilibrium quantity is obtained, which should be the same for both cases:
demand equation: [tex]x=\frac{50 - 32}{6}[/tex] ⇒ x= 3 Thousand unitsthe supply equation [tex]x=\frac{32-14}{6}[/tex] ⇒ x=3 Thousand unitsSo, the equilibrium quanity and equilibrium price is 3 Thousand units and 32 dollars respectively.
In its graphical representation, the equilibrium point can be seen as that point where the supply and demand curves intersect. You can see this in the attached image, where the blue line represents the supply and the red line the demand.
nzmxmhxmxnmxhsk6xmxhxmx
Answer:
Yeah
Step-by-step explanation:
Hope that helped
Which expression is represented by the diagram? ( Marked 1-4, I can't paste the question.)
Answer:
-6-(-1)
Step-by-step explanation:
Since all the boxes are negative, and there are 6 boxes, the first part of the equation is -6. Then since the last box is being taken away, we are subtracting it. The last box is still negative though so the last part is -1. Since -6 subtracted by -1 is -6-(-1), the answer is:
-6-(-1)
/tttybvdhm ghillbhujw w wiqoq w wbwiownq ab
Step-by-step explanation:
don't ask these bad questions
evaluate f(x)=-7x+3 when x=-2, x=0, and x=5
Answer:
-7× 2 +3= 17
-7×0+3=3
-7×5+3= -32
The required evaluated values of f(x) = -7x+3 would be 17, 3, -32 respectevily when substitute the values x = -2, x = 0, and x = 5.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
We have been the given expression:
f(x) = -7x+3
To determine the evaluated values of g(x) = 3x when x = -2, x=0, and x=5
We have to substitute x with the given number.
⇒f(x) = -7x+3
Substitute the value of x = -2 in the f(x) = -7x+3
⇒ f(-2) = -7× 2 +3
⇒ f(-2) = 17
Substitute the value of x = 0 in the f(x) = -7x+3
⇒ f(0) = -7×0+3
⇒ f(0) =3
Substitute the value of x = 5 in the f(x) = -7x+3
⇒ f(5) = -7×5+3
⇒ f(5) = -32
Hence, the required evaluated values of f(x) = -7x+3 would be 17, 3, -32 respectevily when substitute the values x = -2, x = 0, and x = 5.
Learn more about the algebraic expression here :
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Help please variations questions
Answer:
Step-by-step explanation:
first graph
height=constant* width ( direct variation describes a linear relation between 2 variable )6=8x ⇒ x=6/8=0.75
h=0.75w
constant is 0.75second graph:
height=constant/width ( inverse variation)15=x/4 ⇒x=4*15 ⇒x=60
constant=60For two quantities with inverse variation, as one quantity increases, the other quantity decreases. k(constant)=xy
Consider the functions f(x) = 3x - 5.
Solve for x when f(x) = -17
Answer: -4
Step-by-step explanation: f(x)= 3x - 5 | f(x) = -17
If you write the equation in this form: -17 = 3x-5 Than add +5 to each side and divide it by 3 you'll get x=-4 Which is definitely the answer.
given:x-5>-2. choose the solution set.
Answer:
[tex]x > 3[/tex]
Step-by-step explanation:
[tex]x - 5 > - 2 \\ x > - 2 + 5 \\ x > 3[/tex]
First you collect like terms
Then you add
what math symbol is this?
Σ
Answer:
summation
Step-by-step explanation:
This symbol is the summation symbol
It means to sum what comes after it
What’s the value of |4|
Answer:
The value is 4
Step-by-step explanation:
This is because the value of an absolute number is always positive so the absolute value of 4 would remain 4.
Answer: 4
Step-by-step explanation: The absolute value is how far a number is away from 0
What is the value of x3 . y4 when x
3 and y = 0?
Answer:
0Step-by-step explanation:
[tex]x^3 \times y^4\\\\x = 3\\y =0 \\\\(3)^3\times 0^4\\\\3^3\times\:0^4\\\\\mathrm{Apply\:rule}\:0^a=0\\0^4=0\\\\=3^3\times\:0\\\\\mathrm{Apply\:rule}\:0\times\:a=0\\=0[/tex]
Answer:
We need to calculate [tex]x^3*y^4[/tex] for x = 3 and y = 0.
First thing we do is replacing x and y on [tex]x^3*y^4[/tex]:
[tex]3^3*0^4[/tex]
Now, we only need to solve it:
[tex]3^3*0^4[/tex] = [tex]27 * 0[/tex] = [tex]0[/tex]
Remember that [tex]3^3 = 3*3*3[/tex]
1. Define and give a visual example of the Commutative Property.
2. Explain the process ( Every Step ) that you would use to simplify the following expression.
7 ( c + 3 ) + -4 (3c -2 )
Complete the table for the equation of the line y = 3x - 1 X
f(x)
-1
0
2
Answer:
Step-by-step explanation:
Given the equation of a line expressed as y = 3x-1, we are to find y = f(x) for the following values of x in the table.
If y = 3x-1, then f(x) = 3
When x = -1
f(-1) = 3(-1)-1
f(-1) = -3-1
f(-1) = -4
Hence when x = -1, f(x) = -4
When x = 0
f(0) = 3(0)-1
f(0) = 0-1
f(0) = -1
Hence when x = 0, f(x) = -1
When x = 2
f(2) = 3(2)-1
f(2) = 6-1
f(2) = 5
Hence when x = 2, f(x) = 5
P is a point inside a rectangle ABCD, where PA = 3, PC = 7 and PD = 6. Find PB.
Answer: I believe PB is 4
Step-by-step explanation: The diagonal AC equals 10 (7 + 3) and for diagonal DB to equal the same length, PB must be 4 (6 + 4=10).
The ratio of adults to students on a class field trip is 2 to 5. If there are 12 more students than adults, which proportion and solution represent this situation
So, there are 3 more "parts" of students than of adults (5 - 2), right?
Those 3 parts are made up of 12 people.
12/3 = 4 people per part
2(4) = 8 adults
5(4) = 20 students
Answer:
2/5=8
Step-by-step explanation:
Please help I will give out brainliest
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = [tex]\frac{0+3}{2-0}[/tex] = [tex]\frac{3}{2}[/tex] → A
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
First find coordinates
(3,4)
(6,6)
Found these using my eye and estimating
Use the formula to find slope
[tex]\frac{y2-y1}{x2-x1}[/tex]
6-4= 2
6-3= 3
=
2/3
What is -8/15+(-1/15
Answer:
-3/5
Step-by-step explanation:
-8/15 + (-1/15) = -8/15 - 1/15 = -9/15 = -3/5
10 ft
8 ft
5 ft
4 ft
8 ft
17 ft
What is the volume of the figure? Enter the answer in the box.
Answer:
5ft
Step-by-step explanation:
because you divide the quotent the the base and the reslut is divided by the top left and the left
What is the answer for this equation or problem? y+6=52 and what does y equal.
Answer: y=46
Step-by-step explanation:
Subtract 6 from either side to ensure that the y is alone. This then equals y=52-6.
52-6= 46
So therefore, y=46
Answer:
y=46
Step-by-step explanation:
We are given the equation:
y+6=52
and asked to solve for y. Therefore, we must isolate y on one side of the equation.
6 is being added to y. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.
y+6-6=52-6
y=52-6
y= 46
Let’s check our solution. Plug 46 in for y and solve.
y+6=52
46+6=52
52=52
This checks out, so we know our solution is correct.
The solution to the equation y+6=52 is y=46
What’s the axis of symmetry for f(x)=2(x-3)^2+6
Answer: The axis of symmetry is x=3.
Equivalent expressions to an-1
Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
Write the expression 6 - 15 as an equivalent addition expression
Answer:
6 + (-15)
Step-by-step explanation:
6 - 15 would also be written as 6 + (-15). If you distribute the '+' into the '-15', you would get the negative 15.
1 * -15 = -15
So, 6 + (-15) would be the equivalent addition expression.
Hope this helps.