The sale price of the shoe is given as follows:
P3,436.
How to obtain the sale price of the shoe?The sale price of the shoe is obtained applying the proportions in the context of the problem.
The initial price is of:
P 4,295.
The shoe is sold at a discount of 20%, meaning that the sale price is 80% of the initial price, and the value is given as follows:
0.8 x 4295 = P3,436.
Missing InformationThe problem asks for the selling price of the shoe.
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The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
PLEASE I HAVE 20 MINUTES
(Thanks in advance :)
Answer: 56.52mm
Step-by-step explanation:
First, you have to find the circumference of the wheel and divide it by 25 since the spokes are equally spaced.
The equation for the circumference of a circle is:
C = 2πr
C = 2 x π x 225
C = 1413
Then, you divide it by 25
1413/25 = 56.52
PLEASE ANSWER SOON I HAVE LITTLE TO NO TIME LEFT I WILL GIVE BRAINLY PLSS
the volume of a balloon varies directly with the temperature (in degrees kalvin)of the air inside it. a formula for this function for a certain balloon is:
y=2x
where x represents the temperature in degrees kelvin
and y represents the volume of the balloon in cubic centimeters.
a)if the temperature is 300 degrees kelvin, what is the volume of the balloon?
b)if the volume of the balloon is 500 cubic centimeters, what is the temperature?
c)how is the constant of variation in this formula related to the size of the balloon?
(HINT: how does the balloons size change if the constant of variation increases?)
Answer:
The function is:
y = 2x, where 2 is the constant of variationa)
If x = 300, the value of y is:
y = 2*300 y = 600 cm³b)
If y = 500, the value of x is:
500 = 2xx = 500/2x = 250 °Kc)
In this case k = 2
If k increases, and for example k = 3, it will cause the size of balloon increase 3 times per temperature (or decrease as temperature decreases).
Solve for x in the equation x^2-10x+25= 35
The answer is in the SS below with the steps
Answer:
option B
Step-by-step explanation:
the person above me is correct. i got 100% on the quiz
PLZ HELP ME WITH NUMBERS 5 AND 6
ITS DUE TOMORROW!!!!!!!!
Answer:
5. 3,2 is not | 0,1 is | 9,-1 is not | 6,-2 is | 5,0 is not
6. The line is gonna be y= 1/3 - 2
Step-by-step explanation:
For 5 just plug in the numbers for x and y.
A line with slope −23
passes through the point (−12,16) What is an equation of the line
.
Answer:
y = -23x - 260
Step-by-step explanation:
Slope-intercept: y = mx + b
so m = -23
Using (-12,16)
16 = -23(-12) + b
16 = 276 + b
b = -260
then y = -23x - 260
Gina had 56 cup of milk. She used 13 cup for a recipe. How much milk does Gina have left?
Answer: 43
Step-by-step explanation: calculator...i named it jaden
You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?
384 feet
272 feet
256 feet
240 feet
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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14Y - 7y = 35. solve for y
Answer:
y = 5
Step-by-step explanation:
\(14y-7y=35\\7y=35\\y=5\)
14 minus 7 is 7
7Y is equal to 35
divide both sides by 7 is equal to 5
An inverse variation includes the points (5, 3) and (1, n). Find n.
Write and solve an inverse variation equation to find the answer.
n=
Submit
Answer:
n = 15
Step-by-step explanation:
the equation for inverse variation is
y = \(\frac{k}{x}\) ← k is the constant of variation
to find k use the point (5, 3 ) , that is y = 3 when x = 5 , then
3 = \(\frac{k}{5}\) ( multiply both sides by 5 )
15 = k
y = \(\frac{15}{x}\) ← equation of variation
substitute (1, n ), that is x = 1, y = n into the equation
n = \(\frac{15}{1}\) = 15
what is the domain of the function ysqrt x4
The domain of the function is x ∈ [ -4, ∞ )
Here, we are given a function as follows-
y = \(\sqrt{x + 4}\)
Now, domain is the set of all input values that a function can take. Or in other words, it is the set of all values that the independent variable can take such that the function exists.
Here, the independent variable is x
We know that square root of a negative number is imaginary. Thus, for y to be real, (x + 4) must be greater than or equal to 0
⇒ (x + 4) ≥ 0
x ≥ -4
This means that for all values of x greater than or equal to -4, the function exists.
Thus, the domain of the function is x ∈ [ -4, ∞ )
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Your question was incomplete. Check for missing content below-
What is the domain of the function y = sqrt(x + 4)?
The function f(x) = -2(4)²+1 +140 represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
Enter your answer by filling in the boxes to correctly complete the statements. If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
What are the coordinates of the image of point (−1, 5) after a counterclockwise rotation of 90° about the origin?
Responses
(1, 5)
(5, 1)
(−5, −1)
(-5, -1)
Answer: (5, -1)
Step-by-step explanation:
To rotate a point counterclockwise by 90° about the origin, we swap the x and y coordinates and negate the new x-coordinate. For the point (-1, 5), we swap the x and y coordinates to get (5, -1). The x-coordinate becomes positive, and the y-coordinate becomes negative. Therefore, the coordinates of the image of the point (-1, 5) after a counterclockwise rotation of 90° about the origin are (5, -1).
I think you put down the same answer choice twice and instead meant to say (5, -1) instead of (-5, -1) twice.
Plz help me with my school work.
Answer:
∠HGB = 20°
∠ECD = 34°
∠GBH = 36°
∠FGH = 37°
Step-by-step explanation:
There are several useful rules regarding angles:
right angles are 90°the sum of angles in a triangle is 180°angles of a linear pair are supplementary (total 180°)vertical angles are congruentan exterior angle is equal to the sum of the remote interior anglesThis last observation is a consequence of the 2nd and 3rd observations.
__
angle ECD
Using the last observation, ∠ECD = 124° -90° = 34°.
angle HGB
Again, using the last observation, ∠HGB = 110° -90° = 20°.
angle GBH
There are at least a couple of ways to find this one. We assume that lines FB and EC are parallel, so angles HBC and ECD are corresponding, hence congruent. Angle GBC is the supplement of of 110°, so is 70°. Then ...
∠GBH = 70° -34° = 36°
angle FGH
Again, this angle can be found multiple ways. Here, we'll use the sum of angles in triangle FGB.
∠FGB +∠GBF +∠BFG = 180°
(∠FGH +∠HGB) +∠GBF +∠BFG = 180°
∠FGH +20° +36° +87° = 180°
∠FGH = 180° -143° = 37°
__
Least to greatest, the angles are ...
∠HGB = 20°
∠ECD = 34°
∠GBH = 36°
∠FGH = 37°
King of Diamonds Industries has bonds on the market making annual payments, with 14 years to maturity, and selling for R1 482,01. At this price, the bonds yield 7%. What is the coupon rate?
The coupon rate of the bonds by King of Diamonds Industries would be 7 %.
How to find the coupon rate ?The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:
= (Coupon payment x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value / (1 + rate )^ number of years
1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14
103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x (1 - ( 1 + 0.07) ^ ( - 14) )
Using a calculator, C is $ 70.
This means that the coupon rate is:
= 70 / 1, 000
= 7 %
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If I start with 2 and count by 8s until I reach 82, I will get: 2, 10, 18, 26, 82, ... , where 2 is the first number, 10 is the second number and so fourth. If 82 is the Nth number, what is the value of N?
Answer:
11 is N
Step-by-step explanation:
Since we know the first answer is 2, we can subtract 82 by 2. Afterwards we can divide by 8 since we are counting by 8s, this gets me 10. 10 + the first number is 11
What is the slope of the line segment that passes through
points (1,3) and (5, 13)?
Answer: 5/2
Step-by-step explanation:
slope equation: (y2-y1)/(x2-x1)
13-3/5-1 = 10/4 or 5/2
Answer:
2.5
Step-by-step explanation:
Gradient (slope) =
\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)
(-11/20) ÷ (-4/16) =
Answer:
\(\boxed{\sf \cfrac{11}{5}\:\: or \:\: 2.2}\)
Step-by-step explanation:
\(\sf \left(\cfrac{-11}{20}\right)\div \left(\cfrac{-4}{16}\right)\)
Apply fraction rule:
\(\boxed{\sf\cfrac{a}{b}\div\cfrac{c}{d} =\frac{a\times \:d}{b\times \:c}}\)
\(\longmapsto\sf \cfrac{-11\times \:16}{20\left(-4\right)}\)
Cancel the common factor of 16 and 20:
\(\longmapsto\sf \cfrac{-11\times4}{5\times(-4)}\)
Cancel common factor of 4 and −4:
\(\longmapsto\sf \cfrac{-11}{5\times (-1)}\)
Multiply 5 by -1:
\(\longmapsto\sf \cfrac{-11}{-5}\)
Dividing two negative values gives a positive value:
\(\longmapsto\sf \cfrac{11}{5}\)
Or
\(\longmapsto\sf 2.2\)
________________________________
THIS IS URGENT
A line includes the points (2,10) and (9,5). What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answer:
Step-by-step explanation:
y = 13x -12
Estimate the sum of the weights of Frailyn 10.2 pounds +611/12 pounds. Which statements are true about the estimate CHECK ALL THAT APPLY
The radius of a semicircle is 5 yards. What is the semicircle's diameter?
r5 yd
yards
Submit
Answer:
Diameter: 10 Yards
Step-by-step explanation:
d = 2r
d = 2 ( 5 )
d = 10
Which linear inequality is represented by the graph?
PLEASE HELP
Answer:
It would be c.
I hope that helps
Step-by-step explanation:
If you look at (0,0) you can see that if you go up two it will be right across second point.
Write these fractions as percentage 2/3
Answer: 66%
Step-by-step explanation: To convert a fraction to a percentage, divide the top number by the bottom number. For example, \(\frac{1}{4}\) is 25% because if divide them, (1÷4=0.25) then we get 25%. So, for this problem, we solve 2÷3, which equals 0.66, or 66%.
hope this helps!
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Point E is the midpoint of AB and point F is the midpoint
of CD.
Which statements about the figure must be true? Select
three options.
AB is bisected by CD.
A
CD is bisected by AB.
DAE = 2 AB
СЕ
F
D
EF = LED
B
CE + EF = FD
The options are;
1) AB is bisected by CD
2) CD is bisected by AB
3) AE = 1/2 AB
4) EF = 1/2 ED
5) FD= EB
6) CE + EF = FD
Answer:
Options 1, 3 & 6 are correct
Step-by-step explanation:
We are told that Point E is the midpoint of AB. Thus, any line that passes through point E will bisect AB into two equal parts.
The only line passing through point E is line CD.
Thus, we can say that line AB is bisected by pine CD. - - - (1)
Also, since E is midpoint of Line AB, it means that;
AE = EB
Thus, AE = EB = ½AB - - - (2)
Also, we are told that F is the mid-point of CD.
Thus;
CF = FD
Point E lies between C and F.
Thus;
CE + EF = CF
Since CF =FD
Thus;
CE + EF = FD - - - (3)
a service center receives an average of 0.7 customer complaints per hour. management's goal is to receive fewer than three complaints each hour. assume the number of complaints follows the poisson distribution. determine the probability that exactly four complaints will be received during the next eight hours.
The probability that exactly four complaints will be received during the next eight hours is 15.41%.
A discrete probability distribution called the Poisson distribution provides the likelihood that an event will occur a specific number of times over the course of a given period of time or location. The formula for this distribution is given by \(P(X=x)=\frac{e^{-\mu}\times \mu ^x}{x!}\) where x is the number of successes, μ is the mean, and e is Euler's number.
Given n = 8 hours then, μ = 0.7n = 0.7×8 = 5.6.
Then, the probability that exactly four complaints are received is,
\(\begin{aligned}P(X=4)&=\frac{e^{-5.6}\times5.6^4}{4!}\\&=0.1541\end{aligned}\)
The required answer is 15.41%.
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Given the function g(x) = (x + 3)2, Martin says
the graph should be translated right by 3 units
from the parent graph f(x) = x2.
(a) Create a table for g and f.
(b) Use your results to explain Martin's error.
Answer:
it should be 3 units to the left
Step-by-step explanation
table takes alot of time that i dont have
This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year. Find the total number of raffle tickets sold at the end of 9 years.
Select the correct answer below:
9,158
9,351
9,818
10,666
This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year.
The total number of raffle tickets sold at the end of 9 years is approximately 9,818.
To find the total number of raffle tickets sold at the end of 9 years, we need to calculate the number of tickets sold each year and sum them up.
Starting with the initial number of tickets sold, which is 848, we will increase this number by 5% each year for a total of 9 years.
Year 1: 848 + (5% of 848) = 848 + 42.4 = 890.4
Year 2: 890.4 + (5% of 890.4) = 890.4 + 44.52 = 934.92
Year 3: 934.92 + (5% of 934.92) = 934.92 + 46.746 = 981.666
Year 9: Ticket sales at the end of 9 years = Number of tickets sold in Year 8 + (5% of Year 8 sales)
Year 9: Total = 1,399.585 + 69.97925 = 1,469.56425 ≈ 1,469.56
The total number of raffle tickets sold at the end of 9 years is approximately 1,469.56.
The correct option is 9,818.
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Yoko started an assignment at 8:34 AM and finished it at 9:21 AM.
How long did it take her? Give your answer in minutes.
Answer:
She started at 8:34 and finished at 9:21, with some simple math.. the answer is 47 minutes
Find the value of y for the given value of t.
y = x + 5; x = 3
Answer:
y = 8
Step-by-step explanation:
y = x + 5
Next : Plug in 3 for x (because x = 3)
y = 3 + 5
y = 8
Hope this helps!