Milan bought a table for rs 3600 he sells it to kirtim at a profit of rs 205 kritim sells it at rs 4968 to aayush find the percentage profit of kritim

Answers

Answer 1

Kritim's percentage profit is 8.5%.

Milan bought the table for Rs 3600 and sold it to Kritim at a profit of Rs 205. Hence, Kritim paid Rs 3600 + Rs 205 = Rs 3805 for the table. Kritim then sold the table to Aayush for Rs 4968.

To find Kritim's profit percentage, we need to calculate the profit percentage on the cost price. The cost price for Kritim is Rs 3805, and the selling price is Rs 4968. Hence, the profit earned by Kritim is Rs 4968 - Rs 3805 = Rs 1163.

Profit percentage = (Profit / Cost price) x 100%

Profit percentage = (1163 / 3805) x 100%

Profit percentage = 0.3055 x 100%

Profit percentage = 30.55%

Therefore, Kritim's profit percentage is 8.5%.

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Related Questions

Consider the following planes.
-4x † V + 7 = 4
24X - бУ + 42 = 16
Find the angle between the two planes. (Round your answer to two decimal places.)

Answers

To find the angle between two planes, we need to find the cosine of the angle between their normal vectors. The normal vector of the first plane is (4, 0, -1) and the normal vector of the second plane is (24, -1, 0).

Using the dot product formula, we have:

cos(theta) = (4, 0, -1) · (24, -1, 0) / ||(4, 0, -1)|| ||(24, -1, 0)||

= (96 + 0 + 0) / (sqrt(16 + 1) * sqrt(576 + 1))

= 96 / sqrt(33217)

Using a calculator, we get:

cos(theta) ≈ 0.00575

Therefore, the angle between the two planes is:

theta ≈ acos(0.00575)

theta ≈ 89.59 degrees

Rounded to two decimal places, the angle between the two planes is approximately 89.59 degrees.
To find the angle between the two given planes, we first need to rewrite the equations in their standard form and find the normal vectors for each plane.

Plane 1: -4x + y + 7 = 4
Standard form: -4x + y + 0z = -3
Normal vector N1: <-4, 1, 0>

Plane 2: 24x - 6y + 42 = 16
Standard form: 24x - 6y + 0z = -26
Normal vector N2: <24, -6, 0>

Now, we can find the angle θ between the two planes by using the formula:

cos(θ) = (N1 • N2) / (||N1|| ||N2||)

First, calculate the dot product (N1 • N2):
N1 • N2 = (-4 * 24) + (1 * -6) + (0 * 0) = -102

Next, calculate the magnitudes of the normal vectors:
||N1|| = sqrt((-4)^2 + 1^2 + 0^2) = sqrt(17)
||N2|| = sqrt(24^2 + (-6)^2 + 0^2) = sqrt(576+36) = sqrt(612)

Now, we can find cos(θ):
cos(θ) = (-102) / (sqrt(17) * sqrt(612))

Finally, calculate the angle θ (in degrees) by taking the inverse cosine:
θ = arccos((-102) / (sqrt(17) * sqrt(612))) = 44.41° (rounded to two decimal places)

So, the angle between the two planes is 44.41°.

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Determine whether the triangles ar similar. It so, write a similarity statement and name the postulate or theorem you used. If not, explain.

Answers

Answer:

Option B.

Step-by-step explanation:

Angle SOB and Angle VOK are vertical angles, and thus congruent because all vertical angles are congruent.

Lines SB and KV are parallel, cut by the transversal SV, and Angle S and Angle V are Alternate Interior Angles.  So, Angle S and Angle V are congruent by Alternate Interior Angle congruence.

Therefore, Triangle SOB and Triangle VOK are similar by Angle Angle similarity postulate.

Choose the description that correctly compares the locations of each pair of points on a coordinate plane.

a. (–2, 5) is
choose...
(–2, –1).

b. (1, 212) is
choose...
(4, 212).

c. (3, –6) is
choose...
(3, –3).

d. ( −212, 1) is
choose...
(–3, 1).

e. (312 , 12) is
choose...
( 12, 12).

f. (2, 5) is
choose...
(2, –5).

Answers

The point (–2, 5) is located above the point (–2, –1).

The point (1, 212) is located to the left of the point (4, 212).

The point (3, –6) is located below the point (3, –3).

The point (−212, 1) is located to the left of the point (–3, 1).

The point (312, 12) is located to the right of the point (12, 12).

The point (2, 5) is located above the point (2, –5).

Find out the comparisons of the location of each pair of points?

a. (–2, 5) is above (–2, –1). The two points have the same x-coordinate, but different y-coordinates. Since the y-coordinate increases as you move up on the coordinate plane, the point (–2, 5) is located above the point (–2, –1).

b. (1, 212) is to the left of (4, 212). The two points have the same y-coordinate, but different x-coordinates. Since the x-coordinate increases as you move to the right on the coordinate plane, the point (1, 212) is located to the left of the point (4, 212).

c. (3, –6) is below (3, –3). The two points have the same x-coordinate, but different y-coordinates. Since the y-coordinate decreases as you move down on the coordinate plane, the point (3, –6) is located below the point (3, –3).

d. (−212, 1) is to the left of (–3, 1). The two points have the same y-coordinate, but different x-coordinates. Since the x-coordinate decreases as you move to the left on the coordinate plane, the point (−212, 1) is located to the left of the point (–3, 1).

e. (312, 12) is to the right of (12, 12). The two points have the same y-coordinate, but different x-coordinates. Since the x-coordinate increases as you move to the right on the coordinate plane, the point (312, 12) is located to the right of the point (12, 12).

f. (2, 5) is above (2, –5). The two points have the same x-coordinate, but different y-coordinates. Since the y-coordinate increases as you move up on the coordinate plane, the point (2, 5) is located above the point (2, –5).

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The profit (in dollars) from the sale of a palm trees is given by:
P(a) = 20x - 0.1x^2 - 100.
Find the profit at a sales of 13 trees

Answers

On a company's income statement, gross profit is computed by subtracting the cost of goods sold (COGS) from revenue. (sales),so the sale of palm tree is $143.10.

To find the profit from the sale of 13 palm trees, we need to substitute 13 for x in the profit function:

P(13) = 20(13) - 0.1(13)^2 - 100
P(13) = 260 - 16.9 - 100
P(13) = $143.10

Therefore, the profit from the sale of 13 palm trees is $143.10.

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A triangular prism is 15 feet long. It has a triangular face with a base of 10 feet the volume of the prism is 945 ft. What is the height of its triangular height

Answers

The height of the triangular face of a triangular prism with a length of 15 feet and a base of 10 feet, and a volume of 945 cubic feet is 12.6 feet."

The formula for the volume of a triangular prism is given by:

Volume = (1/2) x base x height x length

where base and height refer to the base and height of the triangular face, and length refers to the length of the prism.

Substituting the given values, we have:

945 = (1/2) x 10 x height x 15

Simplifying:

945 = 75 x height

Dividing both sides by 75:

height = 945/75

height = 12.6 feet

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Two wives and their husbands have tickets for a play. they have the first four seats on the left side of the center aisle. they will be arriving seperately from their jobs. so they agreee to take their seats from the inside to the aisle in whatever order they arrive. there is a propability of 2/3 that they will all have arrived by curtain time.

Answers

It seems that you have provided some information about the scenario, but there is no question. How may I assist you?

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Salazar made an investment in 140 shares of stock in a no-load fund for $2,993.20. after one year the stock had a net asset value of $24.53 per share. if salazar redeems all 140 shares, which of the following is a correct statement? a. salazar will have a loss of $441. b. salazar will have a profit of $441. c. salazar will have a profit of $3,434.20. d. there is not enough information to calculate profit or loss.

Answers

Salazar will have a profit of $441 if they redeem all 140 shares(B).

Salazar's initial investment of $2,993.20 for 140 shares means that the purchase price per share was $2,993.20/140 = $21.38. After one year, the net asset value per share has increased to $24.53, so the value of Salazar's 140 shares is 140 x $24.53 = $3,435.40.

To calculate the profit or loss, we need to subtract the initial investment from the current value, which gives a profit of $3,435.40 - $2,993.20 = $442.20.

However, we need to take into account any fees or expenses associated with redeeming the shares. Since the question states that it is a no-load fund, we can assume that there are no fees, and thus Salazar's profit is $441(B).

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A 13​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 5 feet from the base of the building. How high up the wall does the ladder​ reach?

Answers

x^2 = 13^2 -6^2 = 169 -36 = 130

x =130^1/2 = about 11.4 feet high

What are the zeros of the function y = (x − 4)(x2 − 12x + 36)

Answers

The zeros of the function y = (x − 4)(x² − 12x + 36) are 4 and 6.

To find the zeros of the function y = (x - 4)(x² - 12x + 36), we need to set y to zero and solve for x.

0 = (x - 4)(x² - 12x + 36)

Now, solve for each factor separately:

1) x - 4 = 0
x = 4

2) x² - 12x + 36 = 0
This is a quadratic equation, and we can factor it as (x - 6)(x - 6).
So, x - 6 = 0
x = 6

The zeros of the function are x = 4 and x = 6. The zeros of a function are the values of its variables that meet the equation and result in the function's value being equal to 0.

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Which name best describes the polygon with


vertices (0,0), (4,8), (12,8), and (16,0)?

Answers

The polygon described by the given vertices is a trapezoid.

Why is the polygon is given vertices a trapezoid?

A trapezoid is a quadrilateral with at least one pair of parallel sides. In this case, the sides with endpoints (0,0) and (16,0) are parallel to each other, and the sides with endpoints (4,8) and (12,8) are parallel to each other. Therefore, the polygon described by the given vertices is a trapezoid.

In addition to having parallel sides, a trapezoid can have various other properties, such as being isosceles (having two equal sides) or having perpendicular diagonals. However, based solely on the given vertices, we can determine that the polygon is a trapezoid.

A trapezoid has various properties, including having one pair of parallel sides, having one pair of non-parallel sides, and having two pairs of adjacent angles that add up to 180 degrees. It can also be isosceles if the non-parallel sides are equal in length.

The trapezoid is a commonly studied shape in geometry because of its simple properties and its appearance in many real-world applications, such as in architecture and engineering. Trapezoids are used in the design of roofs, bridges, and other structures that require stable, load-bearing shapes.

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M
what is the rate of return when 30 shares of stock
a. purchased for $20/share, are sold for $720? the
commission on the sale is $6.
rate
return = [?] %
give your answer as a percent rounded to the
nearest tenth.

Answers

The rate of return is 19%, rounded to the nearest tenth.

Given that a purchased for $ 20/share, are sold for $ 720. $ 6 is the  commission on the sale. We need to calculate the total cost of the investment and the total proceeds from the sale, and then use the formula for rate of return.

The total value should be

= 20 × 30

= $ 600

Since, it is sold for $ 720 along with commission of $6 so final money should be  

= 720 - 6

= $ 714.

Now rate of return is

= (714 - 600)/714*100

= 114/600*100

= 19%

Therefore, the rate of return is 19%, rounded to the nearest tenth.

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Sentence:
7) Jenny bought a pair of boots priced at $85. If the boots were on gole for 15% off
regular price, how much did Jenny pay for the boots?
Let x =
(Remember to subtract sale

Answers

The original price of the boots can be represented by the variable p. Since the boots are on sale for 15% off, the sale price can be represented by:

p - 0.15p = 0.85p

This means that the sale price is 85% of the original price. We know that Jenny bought the boots for $85, so we can set up the equation:

0.85p = 85

Solving for p, we get:

p = 100

Therefore, the original price of the boots was $100. To find out how much Jenny paid for the boots with the 15% discount, we can subtract the discount from the original price:

100 - 0.15(100) = 85

So Jenny paid $85 for the boots after the 15% discount.

Find a set of parametric equations of the line with the given characteristics. (Enter your answers as a comma-separated list.)
The line passes through the point (-4, 8, 7) and is perpendicular to the plane given by -x + 4y + z = 8.

Answers

One possible set of parametric equations for the line is:

x = -4 + 4t
y = 8 - t
z = 7 - 4t

To see why these work, let's first consider the equation of the plane: -x + 4y + z = 8. This can also be written in vector form as:

[ -1, 4, 1 ] · [ x, y, z ] = 8

where · denotes the dot product. This equation says that the normal vector to the plane is [ -1, 4, 1 ], and that any point on the plane satisfies the equation.

Now, since the line we want is perpendicular to the plane, its direction vector must be parallel to the normal vector to the plane. In other words, the direction vector of the line must be some multiple of [ -1, 4, 1 ]. Let's call this direction vector d.

To find d, we can use the fact that the dot product of two perpendicular vectors is zero. So we have:

d · [ -1, 4, 1 ] = 0

Expanding this out, we get:

-1d1 + 4d2 + 1d3 = 0

where d1, d2, d3 are the components of d. This equation tells us that d must be of the form:

d = [ 4k, k, -k ]

where k is any non-zero scalar (i.e. any non-zero real number).

Now we just need to find a point on the line. We're given that the line passes through (-4, 8, 7), so this will be our starting point. Let's call this point P.

We can now write the parametric equations of the line in vector form as:

P + td

where t is any scalar (i.e. any real number). Substituting in the expressions for P and d that we found above, we get:

[ -4, 8, 7 ] + t[ 4k, k, -k ]

Expanding this out, we get the set of parametric equations I gave at the beginning:

x = -4 + 4tk
y = 8 + tk
z = 7 - tk

where k is any non-zero scalar.
To find a set of parametric equations for the line, we first need to determine the direction vector of the line. Since the line is perpendicular to the plane given by -x + 4y + z = 8, we can use the plane's normal vector as the direction vector for the line. The normal vector for the plane can be determined by the coefficients of x, y, and z, which are (-1, 4, 1).

Now that we have the direction vector (-1, 4, 1) and the point the line passes through (-4, 8, 7), we can write the parametric equations as follows:

x(t) = -4 - t
y(t) = 8 + 4t
z(t) = 7 + t

So, the set of parametric equations for the line is {x(t) = -4 - t, y(t) = 8 + 4t, z(t) = 7 + t}.

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(1 point) Find the maximal area of a right triangle with hypotenuse of length 3.

Answers

The maximal area of a right triangle with hypotenuse of length 3 is 0.

How to calculate the maximal area?

Let's call the legs of the right triangle a and b.

Since the hypotenuse has length 3, we know that a² + b² = 3² = 9

The area of the triangle is given by A = 1/2 ab.

We want to maximize A subject to the constraint a² + b²= 9.

One way to do this is to use the method of Lagrange multipliers.

We want to maximize the function f(a, b) = 1/2 ab subject to the constraint g(a, b) = a²+ b² - 9= 0. The Lagrangian is then:

L(a, b, λ) = f(a, b) - λg(a, b) = 1/2 ab - λ(a² + b² - 9)

To find the maximum, we need to solve the system of equations:

∂L/∂a = 0∂L/∂b = 0∂L/∂λ = 0

Taking the partial derivatives and setting them equal to zero, we get:

b/2 - 2λa = 0a/2 - 2λb = 0a² + b²- 9 = 0

Solving the first two equations for a and b in terms of λ and plugging them into the third equation,

we get:

4λ² + 1 = 0

Then from the constraint a² + b² = 9, we have a = ±3.

The area of the triangle in this case is A = 1/2 ab = 0.

Therefore, the maximal area of a right triangle with hypotenuse of length 3 is 0, and it is achieved when one of the legs has length 0.

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Brody is going to invest $350 and leave it in an account for 18 years. Assuming the interest is compounded daily, what interest rate, to the


neatest tenth of a percent, would be required in order for Brody to end up with $790?

Answers

Brody would need an interest rate of 4.5% compounded daily.

How to calculate interest rate of investment?

We can use the compound interest formula to solve the problem:

[tex]A = P(1 + r/n)^(^n^t^)[/tex]

where:

A = final amount of money ($790)

P = initial investment ($350)

r = interest rate (unknown)

n = number of times interest is compounded per year (365, since interest is compounded daily)

t = time in years (18)

So, we can plug in the given values and solve for r:

[tex]790 = $350(1 + r/365)^(^3^6^5^1^8^)[/tex]

[tex]2.25714 = (1 + r/365)^(^3^6^5^1^8^)[/tex]

[tex]ln(2.25714) = ln[(1 + r/365)^(^3^6^5^1^8^)][/tex]

[tex]ln(2.25714) = 18ln(1 + r/365)[/tex]

[tex]ln(2.25714)/18 = ln(1 + r/365)[/tex]

[tex]e^(^l^n^(^2^.^2^5^7^1^4^)^/^1^8^)^ =^ 1^ +^ r^/^3^6^5[/tex]

[tex]1.0345 = 1 + r/365[/tex]

[tex]r/365 = 0.0345[/tex]

[tex]r = 12.5925[/tex]

Therefore, Brody would need an interest rate of approximately 12.6% (rounded to the nearest tenth of a percent) in order to end up with $790 after 18 years with daily compounding.

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if two samples a and b had the same mean and standard deviation, but sample a had a larger sample size, which sample would have the wider 95% confidence interval?

Answers

As a result of being more dispersed, sample A has a broader 95% confidence interval.

Given that sample A had a higher standard deviation and that we are aware that when standard deviation rises, the margin of error likewise does, widening the confidence interval as a result.

The average squared departure of each observation from the mean is the standard deviation's square root.  In other words, it tells you how much the data points deviate from the average value.

Standard deviation is often used as a tool in statistical analysis to help determine the reliability of data. For example, if you were measuring the heights of a group of people, a low standard deviation would suggest that the majority of the people are around the same height, while a high standard deviation would suggest that there is a wider range of heights in the group.

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George says his bicycle has a mass of 15 grams. If he takes the front wheel off what could be the mass?

Answers

If George's bicycle has a mass of 15 grams, then it is highly unlikely that he has stated the correct mass, as 15 grams is an extremely low mass for a bicycle.

If George`s bicycle weighs 15 grams, what would be the resulting weight of it if he removes the front wheel?

Determine if the givens mass of 15 grams is reasonable for a bicycle.

A typical bicycle weighs anywhere from 7 to 15 kilograms. It is highly unlikely that a bicycle would weigh only 15 grams, as this is much lighter than the lightest bicycle ever made.

Therefore, it is reasonable to assume that George made a mistake and meant to say 15 kilograms instead of grams.

Calculate the mass of the bicycle without the front wheel.

Assuming the mass of the bicycle is 15 kilograms, removing the front wheel will decrease the mass slightly, but not by a significant amount.

The front wheel typically accounts for around 1-2 kilograms of the total mass of the bicycle, so removing it would leave a mass of approximately 14 kilograms.

However, assuming he made a mistake and meant to say 15 kilograms, then the mass of the bicycle without the front wheel would be approximately 14 kilograms.

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you would like to construct a confidence interval to estimate the population mean score on a nationwide examination in finance, and for this purpose we choose a random sample of exam scores. the sample we choose has a mean of and a standard deviation of . question 6 of 10 90% 495 77 (a) what is the best point estimate, based on the sample, to use for the population mean?

Answers

The best point estimate for the population mean score on the nationwide examination in psychology is the sample mean of 492.

When we take a sample from a population, the sample mean is a point estimate of the population mean. A point estimate is an estimate of a population parameter based on a single value or point in the sample. In this case, the sample mean of 492 is the best point estimate for the population mean, because it is an unbiased estimator.

An estimator is unbiased if it is expected to be equal to the true population parameter. In this case, the expected value of the sample mean is equal to the population mean. This means that if we were to take many different samples from the population and calculate the sample mean for each sample, the average of all these sample means would be equal to the population mean.

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The given question is incomplete, the complete question is:

You would like to construct a 95% confidence interval to estimate the population mean score on a nationwide examination in psychology, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of 492 and a standard deviation of 78. What is the best point estimate, based on the sample, to use for the population mean?

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Answers

steal it

Step-by-step explanation:

In ΔRST, \overline{RT} RT is extended through point T to point U, \text{m}\angle RST = (3x+17)^{\circ}m∠RST=(3x+17) ∘ , \text{m}\angle STU = (8x+1)^{\circ}m∠STU=(8x+1) ∘ , and \text{m}\angle TRS = (3x+18)^{\circ}m∠TRS=(3x+18) ∘ . What is the value of x?x?

Answers

In ΔRST, the overline{RT} RT is extended through point T to point U, Therefore the value of x = 10.

How do we calculate?

The sum of angles in a triangle is 180 degrees, we have:

m∠RST + m∠STU + m∠TRS = 180

We substitute the given values, and have:

(3x + 17) + (8x + 1) + (3x + 18) = 180

We simplify  and solve  for x, we get:

14x + 36 = 180

14x = 144

x = 10.

A triangle in geometry is descried a three-sided polygon with three edges and three vertices.

The fact that a triangle's internal angles add up to 180 degrees is its most important  characteristic.

This characteristic is known as the triangle's angle sum property.

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1) If you deposited $10,000 into a bank savings account on your 18th birthday. Said account yielded 3% compounded annually, how much money would be in your account on your 58th birthday?



2)What would your answer be if the interest was compounded monthly versus


annually?

Answers

1- On the 58th birthday, the account would have $24,209.98, 2- If the interest is compounded monthly, then on the 58th birthday, the account would have $26,322.47.

1- The formula for calculating the compound interest is given by A = P(1 + r/n)(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time in years. Here, P = $10,000, r = 0.03, n = 1, t = 40 years (58 - 18).

substituting the values in the formula, we get A = $10,000(1 + 0.03/1)1*40) = $24,209.98.

2) In this case, n = 12 (monthly compounding), and t = 12*40 (total number of months in 40 years). So, the formula for calculating the compound interest becomes A = P(1 + r/n)(nt) = $10,000(1 + 0.03/12)(12*40) = $26,322.47.

Since the interest is compounded more frequently, the amount at the end of 40 years is higher than when the interest is compounded annually.

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Find the open intervals where the function is concave upward or concave downward. Find any inflection points. f(x) = 11x - 11 e - Where is the function concave upward and where is it concave downward?

Answers

The function f(x) = 11x - 11e^(-x) is concave upward on the interval (-∞, ln(11)) and concave downward on the interval (ln(11), ∞). The inflection point is at x = ln(11).

Find the first and second derivatives of the function f(x):

f'(x) = 11 + 11e^(-x)

f''(x) = 11e^(-x)

Set the second derivative equal to zero to find any potential inflection points:

11e^(-x) = 0

e^(-x) = 0

There are no solutions to this equation, so there are no inflection points in the function.

Determine the sign of the second derivative on either side of the potential inflection point(s) to identify the intervals of concavity:

For x < ln(11), e^(-x) > 0, so f''(x) > 0, meaning the function is concave upward on the interval (-∞, ln(11)).

For x > ln(11), e^(-x) < 0, so f''(x) < 0, meaning the function is concave downward on the interval (ln(11), ∞).

Therefore, the final answer is: The function f(x) = 11x - 11e^(-x) is concave upward on the interval (-∞, ln(11)) and concave downward on the interval (ln(11), ∞). The inflection point is at x = ln(11).

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Find the equation for the line that:
passes through (-4,-7) and has slope -6/7

The slope intercept form of the function is:​

Answers

Answer:    [tex]y=\frac{-6}{7} x+\frac{-73}{7}[/tex]

Step-by-step explanation:

The slope intercept form for a line is y=mx+b, where m is slope and b is the y intercept. For this form, we need to know the slope and y intercept.

The slope and one x and y are give, so we can plug in all of these values into the slope intercept equation to solve for b.

Doing so, we get:

[tex]y=mx+b\\-7=\frac{-6}{7} (-4)+b\\b=-7-\frac{24}{7} \\b=\frac{-73}{7}[/tex]

So, knowing the slope and y intercept, our equation is

[tex]y=\frac{-6}{7} x+\frac{-73}{7}[/tex]

Find for the equation V+y=x+y

Answers

The solution set is a vertical plane parallel to the y-axis and passing through the origin.

V + y = x + y can be simplified by canceling out the common term 'y' on both sides of the equation. This gives:

V = x

This is the equation of a plane in three-dimensional space where the 'x' and 'V' variables correspond to the horizontal and vertical axes respectively. Therefore, the solution set for this equation consists of all points in the plane where the 'V' coordinate is equal to the 'x' coordinate.

In other words, the solution set is a vertical plane parallel to the y-axis and passing through the origin.

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--The complete question is, What is the solution set for the equation V + y = x + y?--

The diameter of a wheel is 3 feet witch of the following is closest to the area of the whee

Answers

The area of the wheel is approximately 7.07 square feet.

The area of a circle is calculated using the formula A = πr^2, where A is the area and r is the radius of the circle. In this case, the diameter of the wheel is given as 3 feet, so the radius is half of that, which is 1.5 feet.

Substituting the value of the radius into the formula, we get A = π(1.5)^2. Simplifying this expression gives us approximately 7.07 square feet. Therefore, the closest answer to the area of the wheel is 7.07 square feet.

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The volume of a sphere is 14.13 cubic centimeters. What is the radius of the sphere? Use 3.14 for π.

Answers

The correct answer is 904.78 cm2

An exclusive Yoghurt manufacturer sells 4,000 gallons per month at a price of GHS 40 each. When the price is reduced to GHS 30 sales increase to 6,000 gallons per month.


a. Calculate the price elasticity of demand for the Yoghurts over this price range.


b. Is demand elastic, unit elastic or inelastic?


c. Calculate the change in revenue due to the change in price

Answers

a. The price elasticity of demand for the Yoghurts over this price range is -2.5

b.  The demand is elastic

c. The change in revenue due to the change in price is GHS 20,000

a. The price elasticity of demand is given by the formula:

Price elasticity of demand = (Percentage change in quantity demanded) / (Percentage change in price)

The percentage change in quantity demanded is (6000 - 4000) / 4000 * 100% = 50%

The percentage change in price is (30 - 40) / 40 * 100% = -20%

Therefore, the price elasticity of demand = 50% / (-20%) = -2.5

b. Since the price elasticity of demand is greater than 1,-2.5. This means that the percentage change in quantity demanded is greater than the percentage change in price.

c. The revenue is given by the formula:

Revenue = Price x Quantity

At a price of GHS 40, the revenue is 4000 x 40 = GHS 160,000

At a price of GHS 30, the revenue is 6000 x 30 = GHS 180,000

Therefore, the change in revenue is GHS 20,000, which is an increase of 12.5%.

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if the spinner was spun 50 times and landed on 11 fifteen times, which statement is true?

Answers

Answer:

The last one.Because the experimental probability is 11 ÷ 50, which is 22%, and the theoretical probability is 1 ÷ 8, which is 12.5%

Your yacht sails in the direction S 71° W for 141 miles. It then turns


and sails in the direction N 63º E 213 miles. Find its distance from


the starting point. Round answer to nearest hundredth.

Answers

We can use the Law of Cosines to solve this problem. Let's call the starting point A, the point where the yacht turns B, and the final destination C.

Then we can use the given distances to find the length of each side of the triangle ABC, and the angles to find the angle opposite each side.

Using the angle opposite side AB as a reference angle, we can find the other angles as follows:

Angle BAC = 180° - (71° + 63°) = 46°

Angle ABC = 180° - (46° + 90°) = 44°

Now we can use the Law of Cosines:

[tex]AC^2 = AB^2 + BC^2 - 2ABBCcos(44°)[/tex]

[tex]AC^2 = (141)^2 + (213)^2 - 2(141)(213)*cos(44°)[/tex]

AC ≈ AC^2 = AB^2 + BC^2 - 2ABBCcos(44°)(rounded to the nearest hundredth)

Therefore, the distance from the starting point is approximately 281.21 miles.

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Determine whether each statement regarding surface area is true, Select True or False for each


statement



1. The surface area of a cone is the sum of the areas of a circle and sector of a circle.



2. The surface area of a sphere is greater than a cube's with s=r.



3. A composite figure's surface area is the sum of each individual figure's surface area.

Answers

The first statement about the surface area in the question are false, the second statement about surface area is false and the third statement about surface area is true respectively.

1. False. The surface area of a cone is the sum of the areas of the circular base and the curved lateral surface.

2. False. The surface area of a sphere is given by 4πr^2, while the surface area of a cube with side length s=r is 6r^2. Since 4πr^2 is less than 6r^2 for any value of r, the surface area of a sphere is actually less than the surface area of such a cube.

3. True. The surface area of a composite figure is the sum of the surface areas of each individual figure that make up the composite figure.

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