Answer:
1) Joachim's error is in applying the 30% increase to the initial price of the washing machine, 'x', rather than the reduced price of the washing machine for the sale, which is 0.8·x
2) The correct percentage change in price is 4%
Step-by-step explanation:
The price of the washing machine has the following parameters;
The percentage reduction of the price of the washing machine for a sale = 20%
The percentage by which the price is increased afterwards = 30%
Let 'x' represent the initial selling price of the washing machine before the price decrease, and let 'P' represent the sale price after the price increase, we have;
The price after the 20% reduction = x - 20% × x = x - (20/100) × x = 0.8·x
The price after the 30% increase after the sale = 0.8·x + 30% × 0.8·x = 0.8·x + 30/100 × 0.8×x = 0.8·x + 0.3 × 0.8·x = 1.04·x = x + 0.04·x = x + (4/100) × x = x + 4% × x
Therefore, Joachim's error is in applying the 30% increase to the initial price of the washing machine, 'x', rather than the reduced price of the washing machine for the sale, which is 0.8·x
2) The percentage change in the price after the sale is given as follows;
Price of the washing machine after the sale, P = 1.04·x = (104/100) × x = 104% × x
∴ P = 100%x + 4%x = (100/100)·x + 4%x = x + 4%
The percentage change in price = P - x = x + 4% - x = 4%
The correct percentage change in price = 4%
What is the answer to the question
X varies directly with Y.
When X=2, Y=3
Find a formula connecting X and Y.
If p+q/s = 9, q/p= 4, and square root q= 6, what is the value of s?
Answer:
5
Step-by-step explanation:
square root q = 6 meaning that q is 36, when q/p = 4 you can plug in36 for q and divide by 4 getting 9 and now you have q = 36 and p = 9, and p+9=45 and 45/5=9 meaning that s is 5.
Please help I need it really really bad
Answer:
second one lol
Step-by-step explanation: because i said so
1. Find the error and correct each problem: Jasmine wrote 100 - 10(4 + 2f) = 100 -
40 + 20f *
Find X and Y
I need help ASAP plz
Answer:
x = 14
y = 14√2
Step-by-step explanation:
This is an isosceles triangle so x = 14
This triangle is a special right triangle with angle measures of 45 ° 45° and 90°
and side lengths are represented by a, a, and a√2 since we know the value of x is = 14 then y = 14√2
Which of the following tables represents a linear function with the same slope as y=2-3x?
Table (C) represents the same slope -3 as the line y = 2 - 3x.
What is slope?The value of the steepness or the direction of a line in a coordinate plane is known as the slope of a line, often known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of techniques.
The formula for slope between two points (x₁, y₁) and (x₂, y₂) is,
m = (y₂ - y₁)/(x₂ - x₁)
The given equation is,
y = 2 - 3x
The slope of the equation m = -3.
To find the slope of the table, take any two points, because given line is straight line. Therefore, slope will be equal for every point.
(A)
Slope m = (5-2)/(1-0) = 3
(B)
Slope m = (8-10)/ 4-2 = -2 / 2 = -1
(C)
Slope m = (7-10)/1-0 = -3.
Hence, slope of table (C) is -3.
To know more about Slope on:
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write the equation of the cirlcle with diameter endpoints of (-6,3) and (-14,13)
Answer:
(x+10)² + (y-8)² = 41
Step-by-step explanation:
First, we find the length of the diameter.
from distance formula, d = SQR ROOT OF [(-14+6)² + (13-3)²]
diameter = SQR ROOT OF [8² + 10²] = √164 = √4√41 = 2√41
***** so the radius is half that, r =√41
The center of the circle is at the midpoint of the diamater.
x = (1/2)(-6 + -14) = (1/2)(-20) = -10
y = (1/2)(3 + 13) = (1/2)(16) = 8
center (h,k) = (-10,8)
circle equation: (x-h)² + (y-k)² = r²
(x- -10)² + (y - 8)² = (√41)²
(x+10)² + (y-8)² = 41
Sorry it took a while.
..................Help please!
Answer:
with
Step-by-step explanation:
what
In order to get an A in science,jack needs to get a 92% on his next test.If test has 30 questions.What is the minimum number he must have answered correctly.
Answer:
He would need to get a minimum of 28 questions correct.
Step-by-step explanation:
92% of 30 is 27.6 but you cant really get .6 of a question right, so you would need to round. Which makes it 28.
Dora purchases a kitchen mixer for £425. She pays a deposit of 40%. Work out the cost of the deposit
what is 70% of 53? PLZZZ HELP ASAP
*This is a question on a physics document, but beings it's also a mathematics question, it's been tagged as mathematics. Please show your work!*
A 7.12 µC charge is moving at one half the speed of light perpendicular to a magnetic field of 4.02 mT. How large is the force on the charge?
A.) 4.29 N
B.) 32.90 x 10^(1) N
C.) 4.29 x 10^(12) N
D.) 1.00 x 10^(16) N
Answer:
The correct option is A: 4.29 N.
Step-by-step explanation:
The magnetic force is given by:
[tex] F = qv\times B = qvBsin(\theta) [/tex]
Where:
q: is the charge = 7.12x10⁻⁶ C
v: is the speed = c/2 = 1.5x10⁸ m/s
B: is the magnetic field = 4.02x10⁻³ T
θ: is the angle = 90° (the speed is perpendicular to the magnetic field)
Hence, the force on the charge is:
[tex]F = qvBsin(90) = 7.12 \cdot 10^{-6} C*1.5 \cdot 10^{8} m/s*4.02 \cdot 10^{-3} T = 4.29 N[/tex]
Therefore, the correct option is A: 4.29 N.
I hope it helps you!
Identify the common ratio, r, in the following sequence:
212, 106, 53, 16.5
2.3f + 0.8f - 13 - 3
Answer:
do you want it simplified ? if so
3.1f-16
Step-by-step explanation:
i dont know what you want me to do but sorry if this isnt what your looking for and have a blessed day! :)
5 Which of the following are equivalent to 5m(m + 3)? Choose all that apply. A 5(m? + 3m) B (m + 3)5m с 5m + 15 D 15m + Sm? E 5(m + 3).m
#BRAINLIESTBUNCH
Can someone please help I am stuck on this question
Answer:
B) c=25
Step-by-step explanation:
7^2+24^2=25^2
What is the measure of each angel??
Plzzz Hurry! will give 60 points:))))))
Answer:
????????????????????????
Answer:
113 and 67
Step-by-step explanation:
x+x+46=180
2x+46=180
2x= 134
x= 67
x+46= 113
if my answer helps please mark as brainliest.
Need help with this please
Answer:
there are 225 total coins in her collection
40
9
41
Find the ratio for tan(A)
041/40
09/41
040/9
09/40
41/9
40/41
mag Aral ka wag ka mag hanap Ng sagot
Help i need to finish it today And can you explain the steps so i wont need help next time or if you don’t want to its okay :)
Answer:
264 sq. in.
Step-by-step explanation:
The easiest way to find the lateral surface area is to multiply the perimeter of the base times the height.
In your case the perimeter of the base is 2(8) + 2(3) = 16 + 6 = 22
The height is 12, so multiply 12 times 22 = 264 sq. in.
Which graph represents y=4(3)^x
The y-intercept of the exponent function is 4. Then the graph represents the equation y = 4(3)ˣ will be B.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The exponent equation is given below.
y = 4(3)ˣ
The value of the exponent function at x = 0 is calculated as,
y = 4(3)⁰
y = 4 × 1
y = 4
The y-intercept of the exponent function is 4. Then the graph represents the equation y = 4(3)ˣ will be B.
More about the exponent link is given below.
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Anthony compared dog treat prices to find the better deal. The 2 pound box cost $2.38, and the 5 pound box cost $6.10. Which is the better deal?
Answer:
2.38 * 5 = 11.9 and 6.10 * 2 12.20 therefore the 2 pound box is the better deal
Step-by-step explanation:
3 ( X + 6 ) = 24
What is X
please help me solve these
HELPPPP!!!
A band wants to enter a contest that requires traveling expenses. They need at least $1,150 to cover all of the expenses.
They have already saved $700. They are selling shirts with a profit of $7.00 per shirt to earn the remaining money.
Part A
Which inequality represents the minimum number of shirts, n, the band must sell to earn the remaining money?
O 7n + 700 < 1,150
O 7 (n + 700) <1, 150
• 7n + 700 1,150
O 7 (n + 700) >1, 150
Part B
What is the minimum number of shirts the band must sell to earn the remaining money?
Answer:
7n+700≥1,150 and 65 shirts
Step-by-step explanation:
The answer is 65 instead of 64 because there is a decimal of .287...
This means we have to round up in order to be correct, not down because then it wouldn't be enough.
The inequality represents the minimum number of shirts, n, the band must sell to earn the remaining money is, 7n + 700 > 1150.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
From, The given information le the number of t-shirts be 'n'.
Therefore, The inequality representing the minimum number of shirts, n, the band must sell to earn the remaining money is,
7n + 700 > 1150.
learn more about inequalities here :
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if you know what’s going on pls help thanksss
basically u are representing the graphs below in symbols and words if that makes any sence
Answer:
1. > less than
2. =< (I can't find the symbol for this but a line should be under the < and thats it) Greater than or equal to
3. < greater than
4. >= less than or equal to
Yusuf is preheating his oven before using it to bake. The initial temperature of the oven is 70° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 13 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?
Temp after 13 minutes:???
Temp after tt minutes:???
Answer:
temp after 13 minutes is 330 degrees
Step-by-step explanation:
70+(20/13)=260+70=330
Answer:
330 Degrees
Step-by-step explanation:
First, you will want to multiply 20 timesthe time 13. You would get 260, but don't forget about the initial temperaure of 70 so add that, and you will get 330 degrees. I hope this helps :)
9 -4n+ 3n = 8n + 3 -3
im helping a friend so please make it right
Answer:
n = 1
Step-by-step explanation:
This equation is just basic alegebra. First, combine like terms to get
9 - n = 8n. (Because 3 - 3 = 0, and -4n + 3n = -n.) Now the equation is much simpiler; add n to both sides to get 9 = 9n. Divide 9 by both sides to get that n = 1.
You can check your answer by plugging 1 in for n.
9 - 4(1) + 3(1) = 8(1) + 3 - 3
9 - 4 + 3 = 8 + 3 - 3
5 + 3 = 11 - 3
8 = 8
Therefore, n is proven to equal 1.
Hope this is helpful :)
Which of the following expressions is equivalent to (-3x5y) (-4x9y2)
Answer:
12x^227xy^2 - 20xy4y^3
Step-by-step explanation:
(-3x5y) (-4x9y^2)
first : -3x (-4x9y^2) = 12x^227xy^2
second: 5y(-4x9y^2) = -20xy45y^3
then we add them (12x^227xy^2) + ( -20xy45y^3)
= 12x^227xy^2 - 20xy45y^3