in what time will a sum of rs2000 amounts to rs2240 at 4% pa simple interest

Answer:

10+5×5×5 -1

10+125 -1

135 -1

= 134

176° is the measurement of the angle asked.

From the Theorem,

An angle at the circumference of a circle is half the angle at the center subtended by the same arc.

The desired angle will be equal to twice the angle WYX

Thus,

Angle made by the arc = 2 * 88

Angle made by the arc = 176°

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Step-by-step explanation:

We know that the turntable rotates through an angle of 3/2pi radians in 1 second.

To find the number of revolutions in one minute, we need to convert the angle to revolutions per minute.

There are 2π radians in one revolution, so we can set up a proportion:

(3/2π radians) / (1 second) = (x revolutions) / (1 minute)

To solve for x, we can cross-multiply and simplify:

(3/2π) * (1 minute) = x * (1 second) * (2π)

x = (3/2π) * (60/1)

x = 45 revolutions per minute

Therefore, the answer is B. 45 revolutions per minute.

I hope it helps!!

Answer:

  28

Step-by-step explanation:

You want to know what 20% of 140 is.

The % symbol can be considered to mean "/100". This means ...

  20% = 20/100

and 20% of 140 is ...

  20% × 140 = 20/100 × 140 = 2800/100 = 28

There are 28 students in the Environmental Club.

__

Additional comment

You know that 10% is 1/10. This fraction can of 140 can be found by moving the decimal point one place left:

  10% of 140. = 14.0

Of course, 20% is twice as much, so ...

  20% of 140 = 2 × (10% of 140) = 2 × 14 = 28

In this context, "of" means "times": 20% of 140 means 20% × 140.

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The break-even point is approximately 217 units.

We are given that;

Cost of local product= $13.50

Variable cost per unit= $7.85

Fixed cost per period= $1

Now,

The revenue function is the product of the price per unit and the number of units sold:

R(x)=13.50x

where x is the number of units sold.

The cost function is the sum of the fixed cost and the variable cost per unit multiplied by the number of units sold:

C(x)=1220+7.85x

where x is the number of units sold.

The break-even point is the point at which revenue equals cost. We can find this point by setting R(x) equal to C(x) and solving for x:

13.50x=1220+7.85x

5.65x=1220

x≈216.81

Therefore, by the function the answer will be 217 units.

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Triangle:

It might not belong because it does not have any parallel sides, unlike the other shapes.

Diamond:

It might not belong because it is the only shape that is not a quadrilateral.

Rectangle:

It might not belong because it is the only shape with opposite sides that are equal in length.

Pentagon:

It might not belong because it is the only shape that does not have any right angles.

To determine which shape does not belong among the triangle, diamond, rectangle, and pentagon, we can analyze each shape and identify reasons why it may not belong in comparison to the others.

Here are some possible reasons for each shape:

Triangle:

It could be the odd one out because it is the only shape with three sides.

It might not belong because it does not have any parallel sides, unlike the other shapes.

Diamond:

It could be the odd one out because it is the only shape that is not a polygon (since it does not have straight sides).

Rectangle:

It could be the odd one out because it is the only shape with four right angles.

Pentagon:

It could be the odd one out because it is the only shape with five sides.

It might not belong because it is the only shape that does not have any right angles.

The determination of which shape does not belong ultimately depends on the specific criteria or rules set for the given set of shapes.

Without further context or specific criteria, it is difficult to definitively say which shape does not belong.

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The slope of a line is positive with a value of 3/2 or 1.5.

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

The slope of a line is used to describe the steepness and direction of the line.

Mathematically, the formula for the slope of a line is given as;

slope = Δy / Δx

where;

The slope equation is expanded as follows;

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

From the graph, the values of x and y is determined as;

( x₁, y₁ ) = ( - 2, 0 )

( x₂, y₂) = ( 0, 3 )

The slope of the line is calculated as follows;

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

m = ( 3 - 0 ) / ( 0 - - 2)

m = 3 / 2

m = 1.5

Thus, the line has a positive slope.

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The complete question is below:

What is the slope of the line? type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Answer: 62.83

Step-by-step explanation:

The formula for the circumference of a circle is C = 2 π r

So, let’s set up our equation.
2 •π •10 (your radius is 10!)

Now just multiply it together.

2 • π • 10 = 62.83 ft^squared

Hopefully this is what you were looking for. :)

Answer:

Step-by-step explanation:

Answer:

7 duckpin utuyuuuu I have no idea where to watch the video is not a good day at work now and

Using the sum and difference formula and trigonometric identities the value of tanθ and cosθ are cos(11π/12) = (-√6 + √2) / 4 and tan(11π/12) = 0 respectively.

The identity tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ) may be used to calculate tan using the sum method.

Here, we have θ = 11π/12, so we need to express it as the sum of two angles.

In this problem, we are given θ = 11π/12 and we can use the sum of two angles.

11π/12 = π/6 + 5π/6

putting the value of α = π/6 and β = 5π/6.

The sum formula of the tangent becomes;

tan(11π/12) = tan(α + β) = (tanα + tanβ) / (1 - tanα * tanβ)

Let's put in the values of α and β:

tan(11π/12) = (tan(π/6) + tan(5π/6)) / (1 - tan(π/6) * tan(5π/6))

The tangent of π/6 and 5π/6 will have values as;

tan(π/6) = √3/3

tan(5π/6) = -√3/3

Let's put in these values into the sum formula;

tan(11π/12) = (√3/3 + (-√3/3)) / (1 - (√3/3 * (-√3/3)))

tan(11π/12) = 0 / (1 - (-3/9))

= 0 / (1 + 1/3)

= 0 / (4/3)

= 0

Therefore, tan(11π/12) = 0.

Part B;

Using difference formula, the value of cosθ can be expressed using the trigonometric identity

cos(α - β) = cosα * cosβ + sinα * sinβ

Since we are given θ = 11π/12;

Let's express this as the difference of two angles

11π/12 = 3π/4 - π/6

Putting the value α = 3π/4 and β = π/6.

Using the difference formula for cosine;

cos(11π/12) = cos(α - β) = cosα * cosβ + sinα * sinβ

Let's plug in the values of α and β

cos(11π/12) = cos(3π/4 - π/6) = cos(3π/4) * cos(π/6) + sin(3π/4) * sin(π/6)

The known values of cosine and sine for 3π/4 and π/6 are;

cos(3π/4) = -√2/2

cos(π/6) = √3/2

sin(3π/4) = √2/2

sin(π/6) = 1/2

Plugging these values into the difference formula;

cos(11π/12) = (-√2/2 * √3/2) + (√2/2 * 1/2)

cos(11π/12) = -√6/4 + √2/4

Combining like terms:

cos(11π/12) = (-√6 + √2) / 4

Therefore, cos(11π/12) = (-√6 + √2) / 4.

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Answer:

0

Step-by-step explanation:

the range is the 'possible numbers' that the graph can take in relation to the y-axis.

this graph is a -Bx² graph (B is just any number, -x² since it's an x² graph upturned). the graph does not go any higher than 1 in the y-axis direction. so, 0 is the answer.

ps the range of this graph will be y ≤ 1

[tex]\frac{f(x)}{g(x)} =\frac{-10x}{x+3\\}\\ (\frac{f}{g} )(2)=\frac{-10(2)}{2+3}\\ \\\frac{-20}{5} =-4[/tex]

Answer is -4

well, let's notice that A F, B G and C E all converge at point D, without much fuss, that simply means they're all medians, because all medians in a triangle meet at the centroid.

The balance of the account after 12 years is given as follows:

$9,111.

The balance of an account after t years, using continuous compounding, is given by the exponential equation presented as follows:

[tex]A(t) = A(0)e^{kt}[/tex]

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

A(0) = 5000, k = 0.025, t = 12.

Hence the balance of the account after 12 years is given as follows:

[tex]A(t) = A(0)e^{kt}[/tex]

[tex]A(12) = 5000e^{0.025 \times 24}[/tex]

A(12) = $9,111.

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when x < 5, we can simplify it as -(x - 5) because (x - 5) is negative.

We have,

Absolute value:

The absolute value of a number represents its distance from zero on the number line. It is always a non-negative value.

For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3.

|x - 5|:

In this expression, we have the absolute value of the quantity (x - 5).

It means that we are looking at the distance between x and 5 on the number line.

x < 5:

The condition x < 5 states that x is less than 5.

It means that x is located to the left of 5 on the number line.

Simplification:

When x is less than 5, it implies that x is located to the left of 5.

In this case,

The quantity (x - 5) becomes negative because we are subtracting a larger value (5) from a smaller value (x).

Now,

The expression |x - 5| can be simplified to -(x - 5), which means taking the negation of (x - 5).

- If x = 3, which is less than 5, we can substitute it into the expression:

|x - 5| = |3 - 5| = |-2| = 2

- If x = 7, which is greater than 5:

|x - 5| = |7 - 5| = |2| = 2

In both cases,

The value of |x - 5| is 2.

However, when x < 5, we can simplify it as -(x - 5) because (x - 5) is negative.

Thus,

when x < 5, we can simplify it as -(x - 5) because (x - 5) is negative.

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Answer:

$3040 profit made

Step-by-step explanation:

$13×95=$1235 cost to make all the shoes they sold

$45×95=$4275 money she made

$4275-$1235=$3040 profit

Answer: 26

Step-by-step explanation:

The closest number of values above 91 is 23.

We have,

To find the closest number of values that would be above 91 in a normal distribution with a mean of 75 and a standard deviation of 8, we need to calculate the z-score for the value 91 and then find the proportion of values above that z-score.

The formula for calculating the z-score is:

z = (x - mean) / standard deviation

where x is the value of interest, the mean is the mean of the distribution, and the standard deviation is the standard deviation of the distribution.

In this case,

x = 91, mean = 75, and standard deviation = 8.

Plugging these values into the formula, we get:

z = (91 - 75) / 8 = 2

To find the proportion of values above a z-score of 2, we can refer to the z-table or use a calculator that provides the cumulative distribution function (CDF) for the standard normal distribution.

Looking up the z-score of 2 in the z-table or using a calculator, we find that the proportion of values above a z-score of 2 is approximately 0.0228.

To determine the number of values above 91 in a distribution of 1027 values, we multiply the proportion above 91 (0.0228) by the total number of values (1027):

Number of values above 91 = 0.0228 x 1027 ≈ 23.47

Since we are looking for the closest whole number, the closest number of values above 91 would be 23.

Therefore,

The closest number of values above 91 is 23.

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Answer:

123.79

Step-by-step explanation:

The formula for the surface area of a cylinder is:

A = 2πr^2 + 2πrh

where r is the radius of the base, h is the height, and π is the constant pi.

Plugging in the given values, we get:

A = 2π(2.22)^2 + 2π(2.22)(6.66)

A = 2π(4.9284) + 2π(14.7912)

A = 30.9748 + 92.8184

A = 123.7932

Rounding to two decimal places, the surface area of the cylinder is approximately 123.79 square units.

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Angle x is 70 degrees, angle y is 110 degrees, and angle z is also 110 degrees.

When two lines intersect, they form four angles known as vertical angles. Given that one angle is 70 degrees, we can determine the degrees of angles x, y, and z.

Vertical angles are congruent, meaning they have the same measure. Thus, angle x is also 70 degrees.

Since angles x and y are linear angle pairs with 70 degrees, their sum is 180 degrees. Therefore, angle y can be calculated as 180 - 70 = 110 degrees.

To find the measure of angle z, we can use the fact that the sum of angles in a straight line is 180 degrees. Angle x and angle z form a straight line, so their sum is 180 degrees. Angle x is 70 degrees, so angle z can be found by subtracting 70 from 180: 180 - 70 = 110 degrees.

In summary, angle x is 70 degrees, angle y is 110 degrees, and angle z is also 110 degrees.

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Answer:

Step-by-step explanation:

10 : 25

then simplifies

2:5

Answer:

To rotate a point 180° clockwise about the origin, we need to flip the signs of the x- and y-coordinates.

The original coordinates of point S are (3,4).

Flipping the signs of both coordinates gives us (-3,-4).

However, we also need to move the point to the second quadrant, so we need to flip the sign of the x-coordinate again.

Therefore, the coordinates of S" are (-(-3),-4), which simplifies to (3,-4).

So the answer is (D) (4,-2).

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 148\ in\³}[/tex]

Step-by-step explanation:

Volume of cuboid = length × width × height

= length × width × height

= 8 × 4 × 2

= 64 in³

= Volume of larger box + Volume of smaller box

= 212 in³

= Total volume - Smaller box

= 212 - 64

[tex]\rule[225]{225}{2}[/tex]

7173 water bottles that can be produced at a production cost of $5,258.

To find the slope (m), we can use the formula:

m = (4582 - 885) / (6280 - 1200)

m = 3697 / 5080

m ≈ 0.7274

Now, let's find the y-intercept (b) using the equation:

b = y - mx

b = 885 - 0.7274 x 1200

b = 885 - 872.88

b ≈ 12.12

Therefore, the equation of line is

y = 0.7274x + 12.12

Now, the production cost of $5,258 means put y= 5258

5258 = 0.7274x + 12.12

5239.88 = 0.7274x

x= 7203

Thus, 7173 water bottles that can be produced at a production cost of $5,258.

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Ans

The correct answer is (D) "The 2 represents the two sets of length and width pairs."

In the formula for the perimeter of a rectangle, 2(l+w), the 2 represents the fact that the formula is calculating the sum of two pairs of sides: the length and the width. Each pair consists of two sides, so there are two sets of pairs that need to be added together to get the total perimeter.

Therefore, the 2 represents the two sets of length and width pairs.wer:

Consumer lending Partnerships play a crucial role in facilitating economic transactions by bridging the gap between businesses and consumers.

A consumer lending partnership is a collaboration between businesses and financial institutions that aims to provide loans to consumers for purchasing goods and services. This partnership allows businesses to offer their customers convenient financing options, enabling them to make purchases that they might not be able to afford upfront. It benefits both the businesses and consumers by promoting sales and providing access to affordable credit.

In this arrangement, businesses typically partner with banks, credit unions, or other financial institutions that specialize in consumer lending. These lenders evaluate the creditworthiness of consumers and provide loans based on predetermined criteria such as credit scores, income levels, and repayment history. The loans can be structured as personal loans, installment loans, or revolving credit lines, depending on the nature of the purchases and the agreement between the lender and the business.

By partnering with financial institutions, businesses can offer attractive financing options to their customers, which can increase sales and customer loyalty. Consumers benefit from the ability to make purchases and pay them off over time, spreading the cost of expensive items or services into affordable monthly payments. This arrangement expands consumer purchasing power and provides access to necessary or desirable goods and services that may otherwise be out of reach.

In addition to benefiting businesses and consumers, consumer lending partnerships also contribute to the growth of the financial institutions involved. These partnerships create opportunities for lenders to expand their customer base, generate interest income from loan repayments, and establish relationships with businesses in various industries.

Overall, consumer lending partnerships play a crucial role in facilitating economic transactions by bridging the gap between businesses and consumers. They provide a mutually beneficial solution that empowers consumers with access to financing and enables businesses to drive sales and foster customer satisfaction.

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The values of x and y that maximize the total revenue are approximately 3600 units of A and 3200 units of B.

We are given that;

Function R(x,y)=-5x2-8y2-2xy + 42x+102y

Now,

To maximize the total revenue from x units of A and y units of B, we need to find the values of x and y that maximize the function R(x,y)=-5x2-8y2-2xy + 42x+102y. This is an optimization problem with two variables.

To solve this problem, we need to find the critical points of R(x,y) by taking partial derivatives with respect to x and y and setting them equal to zero.

R_x = -10x - 2y + 42 = 0

R_y = -16y - 2x + 102 = 0

Solving these equations simultaneously gives us:

x = 3.6

y = 3.2

Therefore, by the given function the answer will be 3600 units of A and 3200 units of B.

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Answer:

23.685

Step-by-step explanation:

Ok, lets convert them into fractions

78.95=7895/100

0.3=3/10

7895*3/1000

7895*3=21000+2400+270+15=23685

23685/1000=23.685

To design a simulation to estimate the probability that a randomly chosen male will be color blind, you can follow these steps:

Set up the simulation: Determine the number of males to include in your simulation. Let's say you choose to simulate 10,000 males.

Generate random color blindness: Use a random number generator to assign color blindness status to each simulated male. Since color blindness occurs in 4% of the male population, you can randomly assign color blindness to approximately 4% of the males in your simulation.

Count the number of color-blind males: Iterate through the simulated males and count the number of males who are color blind.

Calculate the probability: Divide the count of color-blind males by the total number of males in the simulation to obtain the estimated probability. Multiply the result by 100 to express it as a percentage.

Here's a Python code snippet to illustrate this simulation:

import random

num_simulated_males = 10000

num_color_blind_males = 0

for _ in range(num_simulated_males):

   if random.random() <= 0.04:  # Probability of being color blind

       num_color_blind_males += 1

probability_color_blind = (num_color_blind_males / num_simulated_males) * 100

print(f"Estimated probability of a randomly chosen male being color blind: {probability_color_blind:.2f}%")

Keep in mind that this simulation provides an estimate based on the assumed probability of 4% for color blindness in the male population. The actual probability may vary slightly, but running the simulation with a large number of simulated males should yield a reasonably accurate estimate.