If a salesman sells a watch at 90% of the cost price, the watch will be sold at $108. At what price must he sell the watch if he wants to make $30?
Answers
Answer:
$150
Step-by-step explanation:
Let's call the cost price of the watch C. The salesperson sells the watch at 90% of the cost price, so they sell the watch for 0.9 * C dollars.
We know that 0.9 * C = 108 dollars, so C = 108 / 0.9 = <<108/0.9=120>>120 dollars.
The salesperson wants to make a profit of $30, so they need to sell the watch for 120 + 30 = <<120+30=150>>150 dollars.
Related Questions
PLEASE PLEASE HELP what is f(1)
Answers
Answer:
5
Step-by-step explanation:
f(1) means what is the value when x=1. y is at 5.
Answer:
f(1)=5
Step-by-step explanation: If you plug in 1 for x on the graph, then y is equal to 5.
PLSS HELPPP!!!! I WIL GIVE BRAINLYIST
Answers
B: 8lb
Find the measure of angle B
Equation form
Answers
The measure of the angle B in the triangle is 51.34 degrees.
How to find the angle of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The triangle above is a right angle triangle. A triangle is right triangle because one of its angles is 90 degrees.
The angle of a right triangle can be found using trigonometric ratios as follows:
tan B = opposite / adjacent
tan B = 25 / 20
B = tan⁻¹ 5 / 4
B = tan⁻¹ 1.25
B = 51.3401917459
Therefore,
B = 51.34 degrees
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can you please help me with this.
Answers
Answer:
Step-by-step explanation:
The equation for an arithmetic sequence is
\(a_n=a_1+d(n-1)\) where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.
Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:
\(a_n=2+3(n-1)\) which simplifies to
\(a_n=2+3n-3\) and a bit more to
\(a_n=3n-1\) (which should tell you that arithmetic sequences are lines!)
Finding the 13th number simply requires that we replace n with 13 and solve:
\(a_{13}=3(13)-1\) so
\(a_{13}=38\)
Answer:
38
Step-by-step explanation:
This isn't the most efficient way but it's the best I can do.
2, 5, 8, 11....
The pattern is that we add 3 every time.
2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,
1 , 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
We can see that 38 is the 13th term of the sequence.
Two curves are orthogonal if their tangent lines are perpendicular at each point of intersection. Are the given families of curves orthogonal trajectories of each other? That is, is every curve in one family orthogonal to every curve in the other family? x^2 + y^2 = ax
x^2 + y^2 = by
Answers
Yes, the given curves are orthogonal.
What is orthogonal trajectory?In mathematics, an orthogonal trajectory is a curve, which intersects any curve of a given pencil of (planar) curves orthogonally.
Given equation is,
x²+y²=ax
Differentiating,
2x+2yy'=a
y' = (a-2x)/2y = m1
Again,
x²+y²=by
Differentiating,
2x+2yy'=by'
y' = -2x/(2y-b) = m2
For both curves are orthogonal, we have
m1*m2 = -1
(a-2x)/2y*-2x/(2y-b) = -1
-2ax+4x² = -4y²+2yb
4(x²+y²) = 2ax+2yb
Since, ax = (x²+y²)
by = (x²+y²)
Then,
4(x²+y²) = 2(x²+y²) +2(x²+y²)
4(x²+y²) = 4(x²+y²) (true)
Hence, the above response is appropriate.
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Use a calculator to find the measure of
Answers
Answer:
mRT = 4√13 ≈ 14.42
mST = 10√2 ≈ 14.14
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
Since we have right triangles, in order to find the missing side, we use Pythagorean Theorem:
mTR:
12² + 8² = c²
144 + 64 = c²
c² = 208
c = √208 = 4√13
mST:
15² = 5² + b²
225 - 25 = b²
b² = 200
b = √200 = 10√2
To get your decimals, simply evaluate the square roots:
4√13 = 14.4222
10√2 = 14.1421
Answer:
6. 56.3 degrees.
7. 70.5 degrees.
Step-by-step explanation:
6. We are given the opposite and adjacent side lengths, so we can use tangent to solve this (TOA = Tangent; Opposite over Adjacent).
tan(R) = 12 / 8
tan(R) = 3 / 2
R = cotan(3/2)
R = 56.309932474020213
So, the measure of angle R is about 56.3 degrees.
7. We are given the adjacent and the hypotenuse, so we can use cosine to solve this (CAH = Cosine; Adjacent over Hypotenuse).
cos(R) = 5 / 15
cos(R) = 1/3
R = sec(1/3)
R = 70.528779365509
So, the measure of angle R is about 70.5 degrees.
Hope this helps!
Can someone please help me I really need help it’s my last question
Answers
Answer:
x^2+11x+30
Step-by-step explanation:
This is a parallelogram.
Area of a parallelogram can be found with:
A=bh
Plug our values in.
A=(x+6)(x+5)
FOIL-
First: x*x=x^2
Outside: x*5=5x
Inside: 6*x=6x
Last: 6*5=30
x^2+5x+6x+30
Combine like terms.
x^2+11x+30
5a) Determine the measure of each unknown angle
Answers
Answer:
Step-by-step explanation:
25, i think
Suppose that the price of oranges increases from $1 to $1.10 per pound and the quantity demanded falls from 1000 pounds to 800 pounds.
Calculate the price elasticity of demand when price changes from $1.to $1.10.
Are oranges elastic or inelastic at this price point? Explain your answer.
What happens to total revenue for orange sellers when the price of oranges increases a few cents above $1 (total revenue increases, decreases, stays the same, cannot be determined)? Explain your answer and why..
Assume that the demand for oranges is a straight line, Calculate its equation in terms of price (p) and quantity (q).
Answers
The absolute value of the PED is greater than 1, which means that the demand for oranges is elastic at this price point.
The 10% increase in price leads to a 20% decrease in quantity demanded, indicating that consumers are sensitive to price changes and will decrease their purchases by a relatively larger proportion compared to the change in price.
What is price elasticity of demand?The price elasticity of demand measures the change in consumption of a product in response to a price change. If the price elasticity of a good is infinite, it is perfectly elastic (if demand changes substantially even with minimal price change).
If the price elasticity is greater than one, the good is elastic; if it is less than one, the good is inelastic. A good is perfectly inelastic if its price elasticity is 0 (no amount of price change causes a change in demand).
PED = percentage change in quantity demanded / percentage change in price
Using the given values, the percentage change in price is:
%Δprice = (new price - old price) / old price x 100%
%Δprice = ($1.10 - $1) / $1 x 100%
%Δprice = 10%
The percentage change in quantity demanded is:
%Δquantity demanded = (new quantity demanded - old quantity demanded) / old quantity demanded x 100%
%Δquantity demanded = (800 - 1000) / 1000 x 100%
%Δquantity demanded = -20%. This negative sign indicates that the change in quantity demanded is a decrease.
Thus, the PED can be calculated as:
PED = %Δquantity demanded / %Δprice
PED = (-20% / 10%)
PED = -2
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Economic growth typically results in rising standards of living and prosperity. However, it also invites negative externalities such as environmental degradation due to over- exploiting of natural resources. As such, the world is confronted with the dilemma of growth versus environmental sustainability. Developing a model explaining the disparity of economic development concentrating on drivers such as tourism sustainability, technological innovation and the quality of leadership would be important not only to facilitate future economic growth in developing countries, but also to the environmental and sociocultural sustainability which ultimately lead to global sustainable development. The present research objective is to develop and test framework of sustainable development by considering the elements of tourism, technological innovation, and national leadership. This further would facilitate growth, environmental and socio-cultural sustainability. Understanding the integration of these dimensions would enable the building of a Sustainable Development Framework (SDF) that would provide better insight in promoting the SDGS agenda. Ultimately, growth and environmental sustainability can be achieved which will benefit the society, the economy, and nations and of course for future sustainable policy recommendation. Based on the issue above, you are required to propose relevant econometric approaches with the aims to test sustainable development by considering the elements of tourism, technological innovation, and national leadership. Question 1 [10 marks] [CLO2] Based on the scenario above, a. Propose an appropriate model specification based on the scenario above. [4 marks] used in the [4 marks] [2 marks] b. Justify the selection of the dependent and independent variables model. c. Justify the selection of the sample period.
Answers
According to the given information, the sample period should be from 2010-2020.
a) Model specification
The model specification based on the scenario above is as follows:
SDF= f(T, TI, NL)
Where: SDF= Sustainable Development Framework
T= Tourism
TI= Technological innovation
NL= National leadership
b) Justification for the selection of the dependent and independent variables model:
Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.
Independent variables:
The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.
The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.
c) Justification for the selection of the sample period:
The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.
Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.
The sample period should be from 2010-2020.
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gary incurred $5,200 in qualified medical expenses in 2021. his agi for the year is $50,000. gary will be able to deduct $
Answers
Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.
Based on the information you provided, we can calculate Gary's deductible medical expenses using the following terms:
1. Qualified medical expenses: $5,200
2. AGI (Adjusted Gross Income): $50,000
According to the IRS, taxpayers can deduct qualified medical expenses that exceed 7.5% of their AGI for the tax year 2021. Here's the step-by-step calculation for Gary's deductible medical expenses:
Step 1: Calculate 7.5% of Gary's AGI
7.5% x $50,000 = $3,750
Step 2: Subtract the 7.5% AGI threshold from Gary's qualified medical expenses
$5,200 - $3,750 = $1,450
Gary will be able to deduct $1,450 in medical expenses on his 2021 tax return.
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Magnetic field penetration in a plate. The penetration equation may be written as , where lambda is the penetration depth, (a) Show that B(x) inside a superconducting plate perpendicular to the x axis and of thickness delta is given by where Bn is the field outside the plate and parallel to it; here x = 0 is at the center of the plate, (b) The effective magnetization M(x) in the plate is defined by B(x) = Ba = 4 pi M(X). Show that, in CCS. In SI we replace the 4 pi by mu 0.
Answers
In a superconducting plate perpendicular to the x-axis and of thickness δ, the magnetic field inside the plate, B(x), is given by B(x) = Bn * e^(-x/λ), where Bn is the field outside the plate and parallel to it. The penetration depth, λ, determines the rate of decay of the magnetic field inside the plate. In cgs units, the effective magnetization, M(x), is defined as M(x) = B(x)/(4π). In SI units, it is given by M(x) = B(x)/μ₀, where μ₀ is the permeability of free space.
(a) To show that B(x) inside a superconducting plate perpendicular to the x-axis and of thickness δ is given by B(x) = Bn * e^(-x/λ), where Bn is the field outside the plate and parallel to it, we can utilize the penetration equation.
The penetration equation states that the magnetic field inside a superconductor decays exponentially with distance from the surface, and the penetration depth (λ) determines the rate of decay.
Let's consider a coordinate system where x = 0 is at the center of the plate. The field inside the plate, B(x), will depend on the distance from the center (x) and can be expressed as B(x) = Bn * f(x), where f(x) is a function to be determined.
At the center of the plate (x = 0), the field should be equal to the field outside the plate, B(0) = Bn. Therefore, f(0) = 1.
Using the penetration equation, we know that the field decays exponentially as we move away from the surface. This can be represented as f(x) = e^(-x/λ), where λ is the penetration depth.
Hence, the expression for B(x) inside the superconducting plate is B(x) = Bn * e^(-x/λ).
(b) The effective magnetization M(x) in the plate is defined by B(x) = Ba = 4πM(x), where Ba represents the applied magnetic field and M(x) is the magnetization.
In the cgs (centimeter-gram-second) system, the relation is given by B(x) = Ba = 4πM(x).
However, in the SI (International System of Units) system, we replace 4π with μ₀, where μ₀ is the permeability of free space. Therefore, in SI units, the relation becomes B(x) = Ba = μ₀M(x).
This adjustment accounts for the difference in the definition of magnetic field and magnetization between the cgs and SI systems, where μ₀ is a constant that relates the two systems.
In summary, in the cgs system, the effective magnetization is related to the magnetic field by M(x) = B(x)/(4π), while in the SI system, it is given by M(x) = B(x)/μ₀.
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What is the value of 2 + 3 × 6 − (10 − 8)2? A. −54 B. −16 C. 8 D. 16 E. 26
Answers
By applying the straightforward BODMAS procedures, Option D is true, and the value of 2 + 3 × 6 − (10 − 8)2 is 16.
what is counting ?Going to count is the method for figuring how many parts that make up a small group of objects. H. Determine the size of the set. In mathematics, counting is characterized as figuring out the size or overall number of elements in a collection or group. In the other words, counting anything means counting the items in a group and specifically assigning values to each one. Use the line to count objects. The counting numerals 1, 2, 3, 4, 5, and so on are examples. Persons use the necessary numbers in everyday lives to count things, things, money, etc. As a result, count digits cannot be decimals, fractions, numbers, negative values, or other types of numbers.
given
2+3*6 - (10 -8)*2
= 2+ 18 - 4
= 20 - 14
= 16
By applying the straightforward BODMAS procedures, Option D is true, and the value of 2 + 3 × 6 − (10 − 8)2 is 16.
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Han has 410000 in a retirement account that earns 15785 each year. Find the simplest interest
Answers
Han's retirement account earns $247,163.25 in simple interest.
To find the simplest interest, we need to use the formula:
Simple Interest = Principal × Rate × Time
In this case, the Principal is $410,000 and the Rate is $15,785 per year. We don't know the time period, but we can solve for it using the formula:
Time = Simple Interest ÷ (Principal × Rate)
Plugging in the values, we get:
Time = $15,785 ÷ ($410,000 × 1) = 0.0385 years
Therefore, the simplest interest is:
Simple Interest = $410,000 × $15,785 × 0.0385 = $247,163.25
So Han's retirement account earns $247,163.25 in simple interest.
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Write an equation of the perpendicular bisector of the segment with endpoints
(−1, −5) and (3, −1).
Please do it on paper if possible then put the picture in.
Answers
Answer:
y = -1/2x + 5/2
Step-by-step explanation:
Mid-point = ((-1 + 3) / 2 , (-5 + -1 )/ 2)
= (1 , -3)
Gradient = (-1 - -5 )/(-3 - -5)
= 2
m1_ = -1/2
y = mx + b ( we have to find b)
y = -1/2 x + b (we will use mid point x = x and y = y)
-3 = -1/2 (1) + b
-3 = -0.5 + b
b = -3 + 0.5
b = -5/2
so,
y = -1/2x + 5/2
Which triangle is a 30°-60-90° triangle?
1st Triangle
2nd Triangle
3rd Triangle
Answers
Answer:
1st Triangle
Step-by-step explanation:
5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13
Answers
Answer:
0
Step-by-step explanation:
Let's solve your equation step-by-step.
5(−3x−2)−(x−3)=−4(4x+5)+13
Step 1: Simplify both sides of the equation.
5(−3x−2)−(x−3)=−4(4x+5)+13
5(−3x−2)+−1(x−3)=−4(4x+5)+13(Distribute the Negative Sign)
5(−3x−2)+−1x+(−1)(−3)=−4(4x+5)+13
5(−3x−2)+−x+3=−4(4x+5)+13
(5)(−3x)+(5)(−2)+−x+3=(−4)(4x)+(−4)(5)+13(Distribute)
−15x+−10+−x+3=−16x+−20+13
(−15x+−x)+(−10+3)=(−16x)+(−20+13)(Combine Like Terms)
−16x+−7=−16x+−7
−16x−7=−16x−7
Step 2: Add 16x to both sides.
−16x−7+16x=−16x−7+16x
−7=−7
Step 3: Add 7 to both sides.
−7+7=−7+7
0=0
the product of two rational numbers is -16/9. If one of the numbers is -4/3 find the other
Answers
Answer:
4/3
Step-by-step explanation:
-(16/9) = (p/q) (-4/3)
(-16/9)*(-3/4) = (p/q)
4/3 = p/q
Answer:
Step-by-step explanation:
Let the number be x
\(x *\frac{-4}{3}=\frac{-16}{9}\\\\x=\frac{-16}{9}*\frac{3}{-4}\\\\x=\frac{4}{3}\)
help me if you know the answer dont reply if u dont know
Answers
Answer:
A). x=3/4
Step-by-step explanation:
2(6-2x)-2x=2(5+x)-4
Rearrange terms,
2(6-2x)-2x=2(5+x)-4
2(-2x+6)-2x=2(5+x)-4
Distribute,
2(-2x+6)-2x=2(5+x)-4
-4x+12-2x=2(5+x)-4
Combine like terms,
-4x+12-2x=2(5+x)-4
-6x+12=2(5+x)-4
Rearrange terms,
-6x+12=2(5+x)-4
-6x+12=2(x+5)-4
Distribute,
-6x+12=2(x+5)-4
-6x+12=2x+10-4
Subtract the numbers,
-6x+12=2x+10-4
-6x+12=2x+6
Subtract 12 from both sides,
-6x+12=2x+6
-6x+12-12=2x+6-12
-6x=2x+6-12
-6x=2x-6
Subtract 2x from both sides,
-6x=2x-6
-6x-2x=2x-6-2x
-8x=2x-6-2x
-8x=-6
Divide both sides by the same factor ( -8),
-8x/-8=-6/-8
x=-6/-8
x=3/4
PLEASE HELP! WILL CHOSE BRAINLIST!
Suppose you are making a scale drawing Find the length of each object on the scale drawing with given scale. Then find the scale factor. 5-6 a parking lot 480 meters wide; 1 centimeter= 16.5 meters 7-8 A desk 6 feet long; 1.5 inches= 0.5 feet. Sorry the first ones that I sent were not finished.
Answers
Answer:
1 cm = 16.5 m
1 m = 1 : 16.5 = 0.060606 cm
480 * 0.060606 = 29.09088 cm ( on the scale drawing )
B :
1.5 in = 0.5 ft
6 ft = 0.5 ft * 12
12 * 1.5 in = 18 inches
Step-by-step explanation:
The ratio of the number of comic books in Yazmin’s collection to the number of comic books in Itzel’s collection is 4:1. Itzel has 6 comic books. How many comic books does Yazmin have?
Answers
Answer: 35
Step-by-step explanation: 41 - 6 = 35
You might need: Calculator
Raj wants to take yoga classes. There are two yoga studios that have different membership plans.
The first studio charges a fixed amount of $70 per month, and you can take as many classes as you want
for no additional charge.
The second studio charges a smaller initial fee plus an additional fee for each class taken. The monthly price
(in dollars) of the second studio as a function of the number of classes taken is given by the following table
of values:
Classes
Price (dollars)
1
35
3
45
5
55
Which studio charges more for each additional class?
Answers
Answer:
Which studio charges more for each additional charge? B
Raj wants to take 8 classes each month. Which studio is cheaper for him? A
Step-by-step explanation:
Studio one has no additional charge.
Studio two 8 classes would be 100 dollars more than the 70dollar flat fee of studio one.
How many feet of fencing would be required to enclose the triangular portion of this garden?
Answers
Answer:
the triangular portion is 12 ft.
Step-by-step explanation:
one side is 4 feet (2+2) 3 (10-7) and then to find the hypothenuse you do a squared+ b squared = c squared. so 4 squared + 3 squared = the square root of 25.
The square root of 25 is 5
5+4+3=12
Hope this helps you!
Moms car is 180 inches long. Dads truck is 75% longer than moms car. How long is the truck?
Answers
Bc 180 times .75= 135
135 + 180 =315
1/10 + -9/10 = what in fraction form
Answers
Answer:This is -8/10 which can be reduced to -4/5
Answer 15 please algebra one
Answers
Answer:
a
Step-by-step explanation:
To obtain the inverse, rearrange the relation making x the subject
y = x² + 4 ( subtract 4 from both sides )
y - 4 = x² , or
x² = y - 4 ( take square root of both sides )
x = ± \(\sqrt{y-4}\)
Change y into terms of x with x = \(f^{-1}\) (x) , that is
\(f^{-1}\) (x) = ± \(\sqrt{x-4}\) → a
The exchange rate at the post office is £1=€1. 17
how many euros is £280
Answers
The exchange rate at the post office is £1 = €1.17. Therefore, to find how many euros is £280, we have to multiply £280 by the exchange rate, which is €1.17.
Let's do this below:\[£280 \times €1.17 = €327.60\]Therefore, the amount of euros that £280 is equivalent to, using the exchange rate at the post office of £1=€1.17, is €327.60. Therefore, you can conclude that £280 is equivalent to €327.60 using this exchange rate.It is important to keep in mind that exchange rates fluctuate constantly, so this exchange rate may not be the same at all times. It is best to check the current exchange rate before making any currency conversions.
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10 minus the product of 5 and a number g is more than 80.
How do you write that?
Answers
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% 40 % of this population prefers the color green. If 12 12 buyers are randomly selected, what is the probability that between 5 5 and 9 9 (both inclusive) buyers would prefer green? Round your answer to four decimal places.
Answers
Answer: 60% would like another color
Step-by-step explanation:
How to write a quadratic function in standard form calculator?
Answers
A quadratic function is a polynomial function with degree 2, and it can be written in standard form as:
f(x) = ax^2 + bx + c
where a, b, and c are real numbers, and a ≠ 0. The standard form of a quadratic function makes it easier to analyze and graph the function.
To write a quadratic function in standard form using a calculator, you need to enter the coefficients a, b, and c. The calculator will then rearrange the equation into standard form.
For example, if you have the quadratic function f(x) = 2x^2 + 3x - 4, you would enter 2, 3, and -4 as the coefficients a, b, and c, respectively. The calculator would then rearrange the equation into standard form:
f(x) = 2x^2 + 3x - 4
The standard form of a quadratic function can be useful in many applications, such as finding the roots (zeros) of the function, finding the maximum or minimum values, and sketching the graph of the function.
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