The marked price of a dress is rs 1000 if the shopkeeper is allowing 10 % discount. What will be the sp ?​

Answer:

To solve for d, we have to isolate it from the other terms.

28 = d/4 + 24

Subtract 24 from both sides.

28 - 24 = d/4 + 24 - 24

Simplify terms in both sides.

4 = d/4

Multiply both sides by 4.

4x4 = d/4 x 4

Simplify terms on both sides.

d = 16

Hope this helps! :)

Answer:

\(d=16\)

Step-by-step explanation:

\(28=\frac{d}{4}+24\\\\28-24=\frac{d}{4}+24-24\\\\4=\frac{d}{4}\\\\4(4)=4(\frac{d}{4})\\\\16=d\)

a. U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d.  U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct). This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income.

a. The optimization problem of the representative agent involves maximizing the present discounted value of utility subject to the period-by-period budget constraint. The Euler equation is derived as follows:

At each period t, the agent maximizes the utility function U(ct) = ln(ct) subject to the budget constraint ct = (1 + r)wt + yt, where wt is the agent's wealth at time t. Taking the derivative of U(ct) with respect to ct and applying the chain rule, we obtain: U'(ct) = β(1 + r)U'(ct+1). This equation is known as the Euler equation, which represents the intertemporal marginal rate of substitution between consumption at time t and consumption at time t+1.

b. The Euler equation between time 1 and time 3 can be written as U'(c1) = β(1 + r)U'(c2), where c1 and c2 represent consumption at time 1 and time 2, respectively.

Similarly, we can write the Euler equation between time 2 and time 3 as U'(c2) = β(1 + r)U'(c3). Combining these two equations, we fin

d U'(c1) = β(1 + r)^2U'(c3). This relationship shows that the marginal utility of consumption at time 1 is equal to the discounted marginal utility of consumption at time 3.

c. The present discounted value of optimal lifetime consumption can be written as C0 = ∑t=0[infinity]​(β(1 + r))^tct. This equation represents the sum of the discounted values of consumption at each period, where the discount factor β(1 + r) accounts for the diminishing value of future consumption.

d. The present discounted value of optimal lifetime utility can be written as U0 = ∑t=0[infinity]​(β(1 + r))^tln(ct).

This equation represents the sum of the discounted values of utility at each period, where the discount factor β(1 + r) reflects the time preference and the logarithmic utility function captures the agent's preference for consumption.

e. The present discounted value of lifetime income, denoted as Y0, can be expressed as Y0 = y0 + (1 + γ)y1 + (1 + γ)^2y2 + ..., where γ represents the growth rate of income. The income in each period is multiplied by (1 + γ) to account for the increasing income over time.

This assumption of income growth allows for a more realistic representation of the agent's economic environment, where income tends to increase over time due to factors such as productivity growth or wage increases.

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The z-score for X = 48, given a population with a standard deviation of 8 and a mean of 40, is 1.

A bell-shaped curve, also known as a normal distribution, is a symmetric curve with a single peak resembling a bell. It is commonly used to represent data that follows a normal distribution pattern.

In the provided graph, the location of the mean (μ) is marked on the bell-shaped curve. Additionally, the numbers corresponding to each standard deviation, which are -1, -2, +1, and +2, are also indicated. These values represent the distance from the mean in terms of standard deviations.

To calculate the z-score for X = 48, we can use the z-score formula: $z = \frac{X - \mu}{\sigma}$, where X is the raw score, μ is the population mean, and σ is the population standard deviation.

Applying the formula to the given values, we have:

$z = \frac{48 - 40}{8} = 1$

Therefore, the z-score for X = 48 is 1.

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Answer:

First find x

70-x=4x

-x-4x=-70

-5x=-70

x=14

Angle BEC = 70°-x

=70-14

=56°

Angle AEB = 180- 56

= 124°

Angle DEA =4x

= 4× 14

= 56°

Angle CED = 180-56

=124°

The amount of copper that is contained in 120 pounds of brass is equal to 78 pounds.

Let the amount of copper be C.

Given the following data:

Quantity of brass = 120 pounds

Percentage of copper = 65%

To calculate the amount of cooper that is contained in 120 pounds of the brass:

In this exercise, you're required to determine how many pounds of copper can be found in 120 pounds of brass. Thus, we would solve for the percentage of copper contained in this type of brass.

\(Copper=\frac{65}{100}*120\\\\Copper, c=78 ponds.\)

This is correct because 65% of 120 pounds is equal to 78 pounds. 65% can be expressed as a decimal (0.65) and multiplied by 120 pounds to find the number of pounds of copper contained in 120 pounds of the brass.

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Answer:

oh oh....I know...it's 4....I'm I right

Answer:

4

Step-by-step explanation:

Thanks btw

Let's pretend the [] are boxes.

[] this is one box.

[] [] these are 2 boxes, which is 2

if you put 2 plus 2,

[] [] + [] []

count them, you get 4

Hooray!

If you dunno how to count, you just see each of the boxes, then count up

1, 2, 3, 4, 5, 6, 7, 8, 9, 10 and so on. when you stop seeing the boxes, stop counting - the number you're on is the answer to your + question!

Answer:

Step-by-step explanation:

3x-6 = 33

= 3x = 33 + 6

= 3x = 39

x = 13

The equation for a in terms of t, where a direct variation with t and a = 68 when t = 20, is a = 3.4t.

In a direct variation, two variables are related by a constant ratio. In this case, the variable a varies directly with t.

We can write the equation as a = kt, where k represents the constant of variation. To find the value of k, we can use the given information that a = 68 when t = 20.

Plugging these values into the equation, we have 68 = k * 20. Solving for k, we divide both sides by 20, which gives k = 68/20 = 3.4.

The equation for a in terms of t is a = 3.4t. This means that for any given value of t, we can find the corresponding value of a by multiplying t by 3.4.

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Probability of randomly selecting a tree or an insect = 3/5

Total number of flashcards, n(Total) = 30

Number of insects, n(Insects) = 10

Number of trees, n(Trees) = 8

Probability of randomly selecting a tree, P(tree) = 8/30

Probability of randomly selecting an insect, P(insect) = 10/30

Probability of randomly selecting a tree or an insect = P(tree) + P(insect)

Probability of randomly selecting a tree or an insect = 8/30 + 10/30

Probability of randomly selecting a tree or an insect = 18/30

Probability of randomly selecting a tree or an insect = 3/5

Therefore, (v - w) is orthogonal to u, which implies that the statement "if proju(v) = proju(w) then (v − w) ⊥ u" is true.

The statement "if proju(v) = proju(w) then (v − w) ⊥ u" is true if and only if u is orthogonal to the projection of (v-w) onto the subspace spanned by u.

Since proju(v) and proju(w) are the projections of v and w onto the subspace spanned by u, we can rewrite the statement as "if the projections of v and w onto the subspace spanned by u are equal, then (v - w) is orthogonal to u".

Let proj_u(v - w) be the projection of (v - w) onto the subspace spanned by u. We know that (v - w) can be decomposed as (v - w) = proj_u(v - w) + (v - w - proju(v - w)).

Note that (v - w - proju(v - w)) is orthogonal to the subspace spanned by u, since proju(v - w) is the closest vector in the subspace to (v - w). Therefore, (v - w) is orthogonal to u if and only if proju(v - w) = 0, which is equivalent to saying that the projection of (v - w) onto the subspace spanned by u is the zero vector.

Assuming that proju(v) = proju(w), we have:

proju(v - w) = proju(v) - proju(w) = proju(v) - proju(w) = 0

Therefore, (v - w) is orthogonal to u, which implies that the statement "if proju(v) = proju(w) then (v − w) ⊥ u" is true.

In conclusion, we have proven that if the projections of v and w onto the subspace spanned by u are equal, then (v - w) is orthogonal to u.

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Answer:

Step-by-step explanation:

Use the distributive property.

Use the foil method formula.

Distributive property:

⇒ A(B+C)=AB+AC

Foil method formula:

\(\Longrightarrow: \sf{(A+B)(C+D)=AC+AD+BC+BD}\)

→ 2x*3x+2x*4-3*3x-3*4

Solve.

\(\Longrightarrow: \sf{2x*3x+2x*4-3*3x-3*4=\boxed{\sf{6x^2-x-12}}}\)

I hope this helps you! Let me know if my answer is wrong or not.

Hey there,

formula: (a + b)(c + d) = ac + ad + bc + bd

Determine if the following functions are equivalent.

f(x) = (x + 8)(x - 3)

f(x) = x*x + x*(-3) + 8*x + 8*(-3)

f(x) = x² -3x + 8x - 24

f(x) = x² + 5x - 24

g(x) = x² + 5x - 24

>> f(x) and g(x) are equivalent ✅

Have a nice day ;)

We are given with two functions f(x) & g(x) respectively , with 3 options and have to choose correct option

Now , here g(x) is already in simplified form , so let's simplify f(x) ;

\({:\implies \quad \sf f(x)=(x+8)(x-3)}\)

We Knows that ;

Using this ;

\({:\implies \quad \sf f(x)=x(x-3)+8(x-3)}\)

\({:\implies \quad \sf f(x)=x^{2}-3x+8x-24}\)

\({:\implies \quad \sf f(x)=x^{2}+5x-24}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{f(x)=g(x)}}}\)

As f(x) = g(x) . So f(x) & g(x) are equivalent.

Hence , Option 3) f(x) and g(x) are equivalent is correct :D

The coordinate of the centroid of the given triangle will be at (-2.33,5).

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The given triangle with vertices has been drawn.

The midpoint of H( – 6, 3) and F(1, 5) will be as,

x = (-6 + 1)/2 = -2.5

y = (3 + 5)/2 = 4 so D(-2.5,4)

The coordinate of the centroid will intersect 2:1 of the median from the vertex side.

Thus by intercept formula,

x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)

x = -2.33 and y = 5

So the coordinate of vertices will be (-2.33,5).

Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".

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The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.

Consecutive numbers are those that always appear in the same order, from smallest to largest.

For instance:

The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.

consecutive odd numbers:

Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."

Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.

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Recipes 1 and 2 have the same proportion of orange juice to pineapple juice, whereas recipe 3 has a different proportion.

The recipes that would taste the same are recipe 1 and 2. Recipe 3 would taste different.

Recipe 1: ratio of orange juice to pineapple juice = 4 : 6

2 : 3

Recipe 2: ratio of orange juice to pineapple juice = 6 : 9

2: 3

Recipe 3: ratio of orange juice to pineapple juice = 9 : 12

3 : 4

Thus, Recipes 1 and 2 have the same proportion of orange juice to pineapple juice, whereas recipe 3 has a different proportion.

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The Complete Question is:

Here are three different recipes for Orangy-Pineapple juice. Two of these mixtures taste the same and one tastes different.

Recipe 1: Mix 4 cups of orange juice with 6 cups of pineapple juice.

Recipe 2: Mix 6 cups of orange juice with 9 cups of pineapple juice

Recipe 3: Mix 9 cups of orange juice with 12 cups of pineapple juice

Which two recipes will taste the same, and which one will taste different? explain or show your reasoning.

50

I attached a pic of my work.

so what I did was find the amount of the other sides of the triangle using their opposite congruent sides. aka, the bottom is 90, which means the top should also be 90. and 90-50 is 40, so the rest of that side (which is one side of the triangle) should be 40.

and then I used the pythagorean theorem, since it is a right triangle (indicated by the squares in the corners).

the theorem states that a^2 + b^2 = c^2

so just plug in the legs (a and b), and you should get the amount of segment AB (which is c)

Answer:

nothing

Step-by-step explanation:

Answer:

x = 54

Step-by-step explanation:

In this line, I am going to assume lines l and m are parallel.

Each flat surface is half of a circle, therefore it has 180 degrees. We are given one side and told to find the other.

180 - 116 = 64.

The other angle's total value must be 64.

Now, to solve for x, subtract 10 from 64 [inverse operations].

64-10=54

The value of x in this equation is 54 degrees.

Answer:

$68.99

Step-by-step explanation:

This is called percentage decrease:

(100 - 72)% = 28%

246.40 × 28/100

= $68.99

Answer:6 ÷ 4x = 15

Step-by-step explanation:

six is less than the quotient and quotient mean division, replace a number with a variable and put it with four and the you would put equal 15

Answer:

x=84

Step-by-step explanation:

x÷4-6=15

x÷4=21

x=84

Answer:

I really don't know I just wanna know to

Condition: A pair of alternate exterior angles are complementary.

Co-planar lines are those lines which are in single plane. For example

if there are two lines AB and CD so for co-planar lines both lines must be in a single plane. Such that it can be in XY or YZ or ZX, any one of the plane.

Also,

Complementary Angles: If the sum of two angles is 90 degrees, then they are said to be complementary angles, and they form a right angle together.

Supplementary Angles: Supplementary angles are those angles that sum up to 180 degrees.

Congruent Angles: Congruent angles are the angles that have equal measure.

Refer the figure attached to the answer:

In figure, Angles D, B, E and F are interior angles. Angles A, C, H and G are exterior angles. Angles (D, F) and (B, E) are alternate interior angles.

Now, Looking up the options:

A) A pair of alternate interior angles are congruent.

that means Angle B and E are congruent.

B) A pair of co-interior angles are supplementary.

that means Angle B + F = 180 degree.

C) A pair of corresponding angles are congruent.

that means Angle C and E are congruent.

D) A pair of alternate exterior angles are complementary.

that means Angle A+H=90 degree

After looking all the option A), B) and C) all represents that the lines can be parallel but D) does not indicate that the lines can be parallel.

Hence, A pair of alternate exterior angles are complementary condition does not satisfy that the two lines are parallel.

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Disclaimer: The question given was incomplete on the portal. Here is the complete question.

Question: Two coplanar lines are cut by a transversal. Which condition does NOT guarantee that the two lines are parallel.

A) A pair of alternate interior angles are congruent.

B) A pair of co-interior angles are supplementary.

C) A pair of corresponding angles are congruent.

D) A pair of alternate exterior angles are complementary.

Answer:

\(SA = 2.94 \, \textrm{units}^2\)

Step-by-step explanation:

The surface area of a regular 3D figure can be represented as:

\(SA = A_{\textrm{\,1 side}} \cdot (\# \textrm{ of sides})\).

Therefore, the surface area of a cube is:

\(SA = s^2 \cdot 6\)

where \(s\) is the length of a side.

To solve this problem, simply input the given side length into the above formula:

\(SA = 0.7^2 \cdot 6\)

and simplify.

\(SA = 0.49 \cdot 6\)

\(SA = 2.94 \, \textrm{units}^2\)

Answer:

850 m²

Step-by-step explanation:

There are 3 different pairs of rectangles—the side rectangles, the rectangles on the top and bottom, and the other side rectangles.

10x11=110

110x2=220

15x10=150

150x2=300

15x11=165

165x2=330

330+300+220=850 m².

The amount of storage required to represent a simple graph with n vertices and m edges can vary depending on the chosen representation. Here's the storage requirement for each representation:

a) Adjacency lists:

In an adjacency list representation, we typically use an array of size n to store the vertices, and for each vertex, we maintain a linked list or an array to store its adjacent vertices. The space complexity of this representation is O(n + m), where n is the number of vertices and m is the number of edges.

Each vertex requires constant space, and each edge is represented by a link or entry in the adjacency list.

b) Adjacency matrix:

In an adjacency matrix representation, we use a 2D matrix of size n x n to represent the graph. Each entry (i, j) in the matrix represents whether there is an edge between vertices i and j. The space complexity of this representation is O(n^2), as we need to store n^2 entries for the complete matrix. However, if the graph is sparse (few edges compared to vertices), the space complexity can be reduced to O(n + m) by only storing the entries corresponding to the existing edges.

c) Incidence matrix:

In an incidence matrix representation, we use a 2D matrix of size n x m, where n is the number of vertices and m is the number of edges. Each entry (i, j) in the matrix represents whether vertex i is incident to edge j. The space complexity of this representation is O(n * m), as we need to store n * m entries for the matrix.

Similar to the adjacency matrix, if the graph is sparse, the space complexity can be reduced to O(n + m) by storing only the entries corresponding to the existing edges.

In summary:

a) Adjacency lists: O(n + m)

b) Adjacency matrix: O(n^2) or O(n + m) for sparse graphs

c) Incidence matrix: O(n * m) or O(n + m) for sparse graphs

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Answer:

one

Step-by-step explanation:

Any point where x = 0 will fall on the y axis. The y values do not matter for this question.

Answer:

1

Step-by-step explanation:

Answer:

C. Eating bagels instead of eating doughnuts provides no real health benefits.

Step-by-step explanation:

There is no such difference in health benefit due to eating bagels or doughnuts. The bagel eaters are not necessarily doughnut eaters. The calories in bagels is 500 cal per bagel while the calories in doughnuts is 680cal for every 4 doughnuts intake.

Answer:

$274.56

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3.2%/100 = 0.032 per year,

putting time into years for simplicity,

18 months ÷ 12 months/year = 1.5 years,

then, solving our equation

I = 5720 × 0.032 × 1.5 = 274.56

I = $ 274.56

The simple interest accumulated

on a principal of $ 5,720.00

at a rate of 3.2% per year

for 1.5 years (18 months) is $ 274.56.