Based on the price the computer was reduced by and the profit the shopkeeper still made, if the computer was sold at full price, the profit percentage would have been 50%.
What would the profit have been at full price?First assume a price the computer was sold at. We'll go with $100.
At this price, the shopkeeper still made a profit of 20% which means that the cost price was;
= 100 / (1 + 20%)
= $83.33
Based on the discounted price of $100, the full price was:
= 100 / (1 - 20%)
= $125
The profit the shopkeeper would have made is:
= (Full price - Cost price) / Cost price x 100%
= (125 - 83.33) / 83.33 x 100%
= 50%
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Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equation of line k? Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
(I figured it out y=3/2 x +7)
Answer:
y = [tex]\frac{3}{2}[/tex] x + 7
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y - 8 = - [tex]\frac{2}{3}[/tex] (x + 5) ← is in point- slope form
with m = - [tex]\frac{2}{3}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{2}{3} }[/tex] = [tex]\frac{3}{2}[/tex]
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
to find c substitute (- 6, - 2 ) into the partial equation
- 2 = - 9 + c ⇒ c = - 2 + 9 = 7
y = [tex]\frac{3}{2}[/tex] x + 7 ← equation of line K
The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.
What is the equation of a perpendicular line?Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.
The equation of the line is given as,
y - 8 = -2/3(x+5)
The equation of the line that is perpendicular to the line y - 8 = -2/3(x+5) is given as,
y = 3/2x + c
The line is passing through (-6, -2), then we have
-2 = 3/2(-6) + c
-2 = -9 + c
c = 7
The equation of the perpendicular line in the slope-intercept form will be y = (3/2)x + 7.
More about the equation of a perpendicular line link is given below.
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SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
5.735
pythagorian theorem is a^2 + B^2 = c^2
C is the longest side of the right triangle
A shipping container has a base area of 25.5 square yards and a height of 3.5 yards.
What is the volume of 3 of these shipping containers?
Enter your answer as a decimal in the box.
The volume of 3 of shipping containers 267.75 cubic yards.
We need to find the volume of one shipping container and then multiply it by 3 to find the volume of three shipping containers.
Find the volume of one shipping container.
Volume = Base Area × Height
Volume = 25.5 square yards × 3.5 yards
Calculate the volume.
Volume = 89.25 cubic yards
Find the volume of three shipping containers.
Total Volume = Volume × Number of Containers
Total Volume = 89.25 cubic yards × 3
Calculate the total volume.
Total Volume = 267.75 cubic yards.
For similar question on volume.
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Now, that you have the new wheel circumference, what will happen to the number of rotations if the circumference of the tires were increased by 20%? Calculate the number of rotations for the new wheel. Divide 63,360/new circumference =_______rotations (Please only put the number as your answer)
The number of rotations for the new wheel will be 1,056 rotations
How to calculate the circumference of a wheel?Let the initial circumference be 50 rotations (assumed)
If the number of rotations of the circumference of the tires were increased by 20%, then the new circumference will be:
Ne circumference = 1.2 * 50 = 60
number of rotations for the new wheel = 63360/60
number of rotations for the new wheel = 1,056 rotations
Hence the number of rotations for the new wheel will be 1,056 rotations
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how do i find out decimal parts of money?
Answer:
A dollar is a whole amount and is written to the left of the decimal.
...
In 1 dollar there are 100 cents and we write them after a period:
1 cent of a dollar is written $0.01.
10 cents of a dollar is written $0.10.
1 dollar and 1 cent is written $1.01.
1 dollar and 10 cents is written $1.10.
Money Is a Special Decimal
All money is a decimal value with two places. You will see examples including $1.25, $65.98, and $26.34. No matter how big the value gets, you can only have two decimal places. One cent is 0.01.
please, any help would be more than great!
3(a-4) ≥ 4 (a+5)
Hello there!
In order to solve this inequality, we should first use the distributive property:-
3(a-4)≥4(a+5)
3a-12≥4a+20
Now, add 12 to both sides:-
3a≥4a+32
Subtract 4a from both sides:-
3a-4a≥32
-a≥32
Divide both sides by -1:-
a≤-32
The inequality sign changed because we divided both sides by a negative number.
[tex]\mathcal{NOTE:-}[/tex]
I hope everything is clear; however, if you need any explanation or clarification, don't hesitate to let me know, and I will comment or edit my answer. Good luck and have a great rest of your day! :)
what does 7 of one third + 2 and two thirds =
Determining the Conic Type from General Form
Identify the conic section that is represented by the equation.
2x^2 – 4x + 5y^2 – 3y + 2 = 0
circle
ellipse
parabola
hyperbola
Answer: B "ellipse"
to check what type of conic it may be, we first check the squared variables, their coefficents and sign.
in this case 2x² and 5y² are both positive, that means we have either an ellipse or a circle.
if the coefficients are equal, boinggggg! we have a circle, or if you wish an ellipse with equal axes.
if the coefficients are different, like in this case, we have an ellipse.
Answer:
photo
Step-by-step explanation:
Please help me with this please and thank you
Answer:
Step-by-step explanation:
Answer A represents an exponential equation; see below for a demo.
In Answer A we have (1, 3), (2, 3²), (3,3³)
What is the result of adding these two equations?
2x+7y=4
-2x-8y=-2
Answer:
y=-2
Step-by-step explanation:
2x-2x=0
7y-8y=-y
4-2=2
-Y=2
Y=-2
PLEASE HELP!! 30 POINTS
Find the measure of arc ZWX if XR and WZ are diameters.
Answer:
13πr/60 units
Step-by-step explanation:
Formula
arc length = radius x degree measureSolving
2πr x θ/360πr x 39/18039πr/18013πr/60 unitsWhat’s bigger - 2/3 or -0.8
Answer:
-2/3 is greater than -0.8
Step-by-step explanation:
-2/3 when made into a decimal is about -0.67
This is greater than -0.8 because -0.67 covers less area when put into a visual.
Answer:
Convert -0.8 into a fraction or -2/3 into a decimal;
-2/3 in decimal form = -0.666...
Compare the two decimals;
-0.8 __ -0.666...
-0.8 < -0.666..., so -2/3 is greater.
what is the diameter of a pond if the area is 4069.44
Answer:
71.98
[tex]d=2\sqrt{ \frac{A}{\pi }} = 2 * \sqrt{\frac{4069.44}{\pi }}[/tex] ≈ 71.98175 rounded to hundred-thousandths
A sphere has a volume of 33.5 cubic inches. Which value is closest to the radius of this sphere in inches?
Answer:
1.9998 inches = radius
Step-by-step explanation:
V=(4/3)πr³
33.5 = (4/3)πx³
33.5 * 3/4 = (4/3)πx³(3/4)
25.125 / π = (πx³) / π
[tex]\sqrt[3]{7.998}[/tex] = [tex]\sqrt[3]{x^3}[/tex]
1.9998 = x
NEED HELP ASAP! WILL GIVE BRAINLIEST!!
1. Two friends are reading books. Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression represents the number of words Bob reads?
1. 21,356 x 2
2. 21,356 x one fourth
3. 21,356 x one half
4. 21,356 x one and one half
________________________________________
———————————————————————————
..................................................................................................
2. Which equations have a value less than 6,766?
A. one fourth x 6,766 = ________
B. 6 x 6,766 = ________
C. one half x 6,766 = ________
D. 1 x 6,766 = ________
1. A and C
2. D and B
3. A and B
4. C and D
Answer:
Answer for 1
3. 21,356 x one half
Answer for 2
1. A and C
Step-by-step explanation:
again another Pythagorean Theorem i need help on, please and thank you
You commented that part of the instruction included "If the theorem cannot be applied, explain the reason."
The theorem cannot be applied. Since this is not a right triangle, we cannot solve using the Pythagorean Theorem unless we are given a height. If we have the height of this triangle, then we can break it into two different right triangles and solve.
What is a right triangle? A right triangle is a triangle that has an angle measurement of 90 degrees.
In summary, this is an isosceles triangle and the Pythagorean Theorem only applies to right triangles.
What is the mode of 10,9,10,9,10,8
Answer:
its 10
Step-by-step explanation:
The reason its 10 is because it shows more 10 then any number
give me full working and explanation and I give you stars. deal..?
Length: 44 metre
perimeter of rectangle = 2(length+breadth)Here given,
length = L
breadth = 12 metre
perimeter = 112 metre
P = 2(L+B)112 = 2(L+12)12 + L = 112/2L = 56 - 12L = 44 m5510 ÷ 27 with remainder
Answer:
204, there is no remainder.
Step-by-step explanation:
Answer: 204 Rem 2
Step-by-step explanation: Use long division
On Saturday, 73 people went to the two o’clock movie at the theater. Each person paid $4.00. How much money did the theater collect in all?
Answer:
$292.00
Step-by-step explanation:
Total amount collected= number of people×amount per each person
total amount= 73×$4.00
Total amount collected=$292.00
Answer:
$292
Step-by-step explanation:
its really easy, you just multiply 73 to 4
1/secA+tanA = 1-sinA/cosA
Answer:
Below.
Step-by-step explanation:
1 / secA+tanA = 1 / [1/cosA+sinA/cosA))]
= 1/ [(1 + sinA)/cosA]
= cosA/(1+sinA)
Now check if this is identical to 1-sinA/cosA:
1-sinA/cosA = cosA/(1+sinA)
Cross multiply:
(1-sinA)(1+sinA) = cos^2A
1 - sin^2A = cos^2A
sin^2A + cos^2A = 1
This is a known idenity.
So the original identity is true.
What is the third angle on a triangle with angels of 30 and 60?
Answer:
90 degrees
Step-by-step explanation:
a triangles angles add up to 180
this means that you can add all the angles together and get 180
you can first add 30 and 60 and then subtract the sum from 180
30 + 60 = 90
180 - 90 = 90
the last angle is 90 degrees
Hey ! there
Answer:
Third angle is equal to 90 degreesStep-by-step explanation:
In the question we are given with two angles of the triangles that are 30° and 60° . And we are asked to find the third angle of triangle .
For solving this question we must have knowledge of angle sum property which says that the sum of all the angles which are present inside the triangle ( interior angles ) is equal to 180°.
Solution : -
As we know that ,
First angle = 30°Second angle = 60°Third angle = x (Here we are assuming third angle as x because in question it is not given and we have to find the value of third angle)So ,
[tex] \longmapsto \qquad \: 30° + 60° + x° = 180°[/tex]
Step 1 : Adding 30° and 60° :
[tex] \longmapsto \qquad \:90° + x° = 180° [/tex]
Step 2 : Subtracting 90° from both sides :
[tex] \longmapsto \qquad \: \cancel{90°} - \cancel{90 ° } + x° = 180° - 90° \: [/tex]
On further calculations , We get :
[tex] \longmapsto \qquad \: \blue{\underline{\boxed{\frak{x° = 90°}}}}[/tex]
Henceforth , value of x that is our third angle of triangle is 90° .Verifying : -
Now we are verifying our answer by adding all the angles of triangle and equating them with 180° because of angle sum property. So ,
Angle 1 + Angle 2 + Angle 3 = 180°30° + 60° + 90° = 180°90° + 90° = 180°180° = 180°L.H.S = R.H.SHence , Verified .Therefore, our solution is correct .
#Keep Learning3 + 90 ÷ 10=
Please answer this quistion i alredy know the answer who ever gets it right will earn a lot of points.
Answer: 12
Step-by-step explanation:
Start with 90/10 which gets you 9
Then add 3 and 9 which is 12
Answer:
12
Step-by-step explanation:
Order of operations says to do the division first
90/10 = 9
Then add the rest
9+3 = 12
Given that
logaN - logax = 3/2
express x in terms of a and N, giving your answer in a form not involving logarithms.
Answer:
N/a^3/2
Step-by-step explanation:
loga(N/X)=3/2
N/X= a^3/2
X= N/a^3/2
Step-by-step explanation:
When subtracting logarithms with the same base, it is equivalent to combining them into one logarithm, then dividing the arguments inside:
[tex] log_{a}(n) - log_{a}(x) = log_{a}( \frac{n}{x} ) [/tex]
Then use the formula:
[tex] log_{a}( \frac{n}{x} ) = \frac{3}{2} [/tex]
[tex]{a}^{ \frac{3}{2} } = \frac{n}{x} [/tex]
[tex]x = n {a}^{ - \frac{3}{2} } [/tex]
can someone help me.
Step-by-step explanation:
side of square = 10
area of square = side² = 10² = 100 cm²
P.S : ARE YOU SURE THE OPTIONS ARE CORRECT ???
In a class of 28 students, 11 play an instrument and 5 play a sport. There are 2
students who play an instrument and also play a sport. What is the probability that a
student chosen randomly from the class plays a sport or an instrument?
Answer:
50% or 0.5
Step-by-step explanation:
Based on the given conditions, formulate: (5+11-2)÷28
Calculate the sum or difference: 16-2/28
Calculate the sum or difference: 14/28
Cross out the common factor: 1/2
get the result: 50% or 0.5
Answer: 50% or 0.5
Awnser ASAP please
Tom buys a condominium for $42,600. He makes a down payment of 15%, and pays these closing costs: survey $225; inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286. What is the amount of the down payment? What are the total closing costs? How much will he need to bring to the closing (down payment + closing costs)?
Kerri takes out a mortgage for $55,000 at 9% for 25 years. What are her monthly payment, the total amount paid, and the cost of the mortgage?
Fred takes out a mortgage for $60,000 at 7% for 20 years. What are his monthly payment, the total amount paid, and the cost of the mortgage?
The Roger’s applied for a $70,000 mortgage for 30 years at 9%. Since they had a good credit history, they actually qualified for a 25 year mortgage at 7%. What were the payments on the 9% loan, and the 7% loan? What do they save monthly? What is the total repayment on the 9% loan and the 7% loan, and what do they save over the life of the loan?
Answer:
I got you with Question 3 and 4 my guy.
3) He would need 12 and it would cost 50k
4) 9% payments: $563.24, 7% payments: $494.75. Monthly savings: $69.49, 9% total repaid: $2022,764.90 , 7% total repaid: $148,423.63 , Savings: $54,341.27
The Tom will need to bring to the closing $54,341.27
He would need 12 and it would cost 50k.
We have given that,
Tom buys a condominium for $42,600.
He makes a down payment of 15% and pays these closing costs to survey $225.
What is the meaning of a down payment?
The meaning down payment is a part of the full price paid at the time of purchase or delivery with the balance to be paid later.
Inspection, $110; mortgage fee, $852; legal fees, $450; title insurance, $286
9% payments: $563.24
7% payments: $494.75.
Monthly savings: $69.49
9% total repaid: $2022,764.90
7% total repaid: $148,423.63
Savings: $54,341.27
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**PLS HELP BRAINLIEST**
Answer:
x < 10
Step-by-step explanation:
the dot isn't colored in, meaning that x could not equal 10, and the graph goes left, meaning that x is less than 10.
Answer:
x<10
Step-by-step explanation:
Since the inequality doesn't have the circle filled in it is not a less than or equal to and since this is on the 10 this would be x<10
find the area of a rectangle that measures 2 2/3 in. by 36 1/2 in.
Answer:
97 1/3 or 97.3333
Step-by-step explanation:
multiply 2 2/3 by 36 1/2
:)
Jermaine plots the points (0, 0) and (4, 11) on a graph to represent a proportional relationship. Which of the following equations represents the relationship between the x and y-values?
The proportional relationship between (0,0) and (4,11) represents a direct variation
The equation that represents the graph is y = 11x/4
How to determine the equation of the graph?The points on the graph are given as:
(x,y) = (0,0) and (4,11)
The equation of the graph is then calculated using:
y = (y₁/x₁) * x
This gives
y = (11/4) * x
Evaluate
y = 11x/4
Hence, the equation that represents the graph is y = 11x/4
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