At what rate of interest per year a sum of Rs 7200 amount to Rs 9540 in 5yrs​

The true inequality is 4π > 12.

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. Therefore, let's solve the inequalities that is true.

Hence,

\(\frac{2\pi }{2} < 3\)

π < 3 (This is false because 3.14 is greater than 3)

4π > 12

divide both sides by 4

π > 3 (This is true.)

π + 6 < 9

subtract 6 form both sides

π < 3 (This is false)

3π - 1 < 8

3π < 9

π < 3 (This is false)

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Answer: He needs 96 gallons

Step-by-step explanation:

32*3 is 96. For example, Max has 32 books, and he gets triple the amount. How much does he have?

Answer:3.75

Step-by-step explanation:

Based on the fact that in the simple random variable, 5 is the sample mean, then it is a d. point estimate.

A point estimate refers to a specific value in a random group of variables that tell us more about the variables.

The mean is therefore a point estimate as it tells us the average value amounts the random sample of 31 observations.

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Answer:

use Math away, it would help, I'm in a hurry so I cannot give u the answer at the moment.

Step-by-step explanation:

Answer:

$767.20

Step-by-step explanation:

100% represents the cost price

Then a profit of 40% represents 100 + 40 = 140% = 1.4

selling price = 1.4 × $548 = $767.20

Answer:  3 out of 19  

Step-by-step explanation:

Answer:

P(caramel) = 3/10

P(raspberry) = 1/3

Step-by-step explanation:

Given:

⇒ Total chocolates = 3 + 3 + 4 = 10

\(\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}\)

\(\sf \implies P(picking \ caramel \ chocolate) = \dfrac{3}{10}\)

If the picked caramel chocolate is NOT replaced then:

\(\sf \implies P(picking \ raspberry \ chocolate) = \dfrac39=\dfrac13\)

The angle is \(m\angle{BAC}\)=75.5°.

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here in the given right triangle ABC, \(m\angle{ACB}\)=90° and AC = 2 units ,

AB = 8 units. We need to find angle BAC.

Using cosine ratio,

=> Cos BAC = \(\frac{adjacent}{hypotenuse} = \frac{AC}{AB}\)

=> Cos BAC = \(\frac{2}{8}=\frac{1}{4}=0.25\)

=> \(m\angle {BAC} = cos^{-1}(0.25)\) = 75.5°

Hence the angle is \(m\angle{BAC}\)=75.5°.

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Answer:

1-2x

Step-by-step explanation:

When attempting to persuade an audience that is neutral, you should refer to beliefs that many listeners share. Option A is the correct answer.

By identifying common ground or shared beliefs, you can establish a connection with the audience and create a foundation for your persuasive message.

This approach helps to build rapport and increases the likelihood of the audience being receptive to your ideas

When persuading a neutral audience, it is important to be clear, concise, and engaging in order to capture their attention and effectively convey the message.

By using these strategies, the speaker can increase the likelihood of persuading the neutral audience to take action or adopt a particular perspective.

When attempting to persuade an audience that is neutral, there are several strategies that can be employed. Firstly, it is important to establish credibility and trust with the audience by presenting relevant and reliable information from credible sources.

Secondly, it is important to appeal to the audience's emotions by using storytelling, humor, or personal anecdotes.

This can help create a connection between the audience and the speaker and help them see the issue from a more personal perspective.

Thirdly, it is important to anticipate and address any potential objections or counterarguments the audience may have , and to provide convincing evidence and logical reasoning to support the speaker's position.

The correct option is A.

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Complete Question

When attempting to persuade an audience that is neutral, you should __________.

a. refer to beliefs that many listeners share.

b. ask listeners for an immediate show of support.

c. consider making advocacy, rather than understanding, your goal.

d. acknowledge the opposing points of view that audience members may hold.

Answer: \(28.3\ hr\)

Step-by-step explanation:

Given

Charge of the site visit \(\$45\)

Additional charge per hour is \(\$24\ \text{per hour}\)

He eaned \(\$810\)

Suppose he worked for x hours

\(\therefore 810=45+24x\\\text{On solving}\)

\(\Rightarrow 765=24x\\\Rightarrow x=28.3\ hr\)

Answer:

3:4 i think

Step-by-step explanation:

3 4 is the answer

Answerh

Step-by-step explanation:

huh

The value of c is approximately 5.209. Hence, the correct option is 1. 5.209.

To use the Law of Sines to find side c, we can set up the following equation:

sin(A) / a = sin(B) / b = sin(C) / c

Given A = 80°, a = 15, and B = 20°, we can substitute these values into the equation:

sin(80°) / 15 = sin(20°) / c

To find c, we can rearrange the equation and solve for it:

c = (15 * sin(20°)) / sin(80°)

Using a calculator, we can evaluate this expression:

c ≈ 5.209 (rounded to three decimal places)

Therefore, the value of c is approximately 5.209. Hence, the correct option is 1. 5.209.

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The store that offers the best discount is store B

The graph that completes the question is added as an attachment

For store A, we have the following equation

y = 0.3x

On the graph of store B, we have the following points

(x, y) = (60, 24)

So, the equation is

y = 24/60x

Evaluate

y = 0.4x

The discounts for both stores are 0.3 and 0.4, respectively

0.4 is greater than 0.3

Hence, store B offers the best discount

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Answer:

The answer is: C- then

Step-by-step explanation:

Answer:

B. then

Then is often used as a transition tag to show the progression of time in a story.

Angles KAP and LAM are supplementary, and so m/KAL = 90°.

Angles are lines that meet at a single point and form a corner. Angles are measured in degrees, with the most common being right angles (90 degrees) and acute angles (less than 90 degrees). Angles can also be obtuse (more than 90 degrees) or straight (180 degrees). Angles can be used to measure the size of objects, the direction of movement, or the orientation of a surface.

Let P be the intersection point of KA and LA. By the definition of an angle bisector, angles KAP and LAP are both equal to 90°. As KLMN is an I-gram, angles KAL and LAM are equal. Therefore, angles KAP and LAM are supplementary, and so m/KAL = 90°.

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Angles KAP and LAM are supplementary, and so m/KAL = 90°.

Angles are lines that meet at a single point and form a corner. Angles are measured in degrees, with the most common being right angles (90 degrees) and acute angles (less than 90 degrees). Angles can also be obtuse (more than 90 degrees) or straight (180 degrees). Angles can be used to measure the size of objects, the direction of movement, or the orientation of a surface.

Proof:
We have KLMN as an I-gram. Let KA and LA be the angle bisectors of ZK and ZL respectively. We need to prove that m/KAL = 90°.

Since KA and LA are angle bisectors of ZK and ZL respectively, we know that m/KAL = ½ (m/KLN + m/LKN) = ½ (2m/KLN) = m/KLN (1).

Now, since KLMN is an I-gram, we know that m/KLN = 90° (2).

Substituting (2) in (1), we get m/KAL = m/KLN = 90°.

Hence, m/KAL = 90°.

This completes the proof.

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The ratio of 17 out of 20, as a percent, would be: 85%.

To convert or represent a given ratio as a percent, follow the steps below:

1. Use the second number to divide the first number

2. To convert the ratio to percentage, multiply what you get in step 1 by 100.

3. Include the percent sign "%".

Thus, to convert or represent the ratio of 17 out of 20 as a percent, we have the following steps:

Step 1: 17/20 = 0.85

Step 2: 0.85 × 100 = 85

Step 3: 85%

Therefore, the ratio of 17 out of 20, as a percent, would be: 85%.

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The concentration of the resulting sodium chloride solution is 12.431 g/L (or 12.4 g/L when rounded to one decimal place).

To calculate the concentration, we first need to determine the mass of sodium chloride in the solution. The mass of the weighing boat was found to be 0.5132 g. After adding sodium chloride, the combined mass of the weighing boat and sodium chloride was measured to be 1.7563 g. Therefore, the mass of sodium chloride in the solution is the difference between these two measurements:

Mass of sodium chloride = 1.7563 g - 0.5132 g = 1.2431 g

Next, we need to convert this mass to grams per liter (g/L). The solution was prepared in a 100 mL volumetric flask, which means the concentration needs to be expressed in terms of grams per 100 mL. To convert to grams per liter, we can use the following conversion factor:

1 g/L = 10 g/100 mL

Applying this conversion, we find:

Concentration of sodium chloride = (1.2431 g / 100 mL) * (10 g / 1 L) = 12.431 g/L

Rounding to one decimal place, the concentration of the resulting sodium chloride solution is 12.4 g/L.

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Given:

The number of potential customers =40.

The data from the given chart is

40,32,8,20

Hence the average number of locations chosen per potential customer is 2.5.

Answer:

74 inches

Step-by-step explanation:

1 yard = 36 inches

then 2 yards = 72

and 72 + 2 inches = 74 inches

The expression that results in 45.37 is (int)(45.378 * 100) / 100.0.

To find which of the expressions results in 45.37, we need to evaluate each of them one by one.

Let's evaluate each expression one by one.

(int)(45.378 * 100) / 100 = (int)(4537.8) / 100

                                      = 45 / 100

                                      = 0.45(int)(45.378 * 100 / 100)

                                      = (int)(45.378)

                                      = 45(int)(45.378 * 100) / 100.0

                                      = (int)(4537.8) / 100.0

                                      = 45.0 / 100.0

                                      = 0.45(int)(45.378) * 100 / 100.0

                                      = 45 * 100 / 100.0

                                      = 4500.0 / 100.0

                                      = 45.0

Out of the given expressions, the expression that results in 45.37 is (int)(45.378 * 100) / 100.0.

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By using power properties, the expression y⁸ · y³ · x⁰ · x⁻² is equivalent to the expressions 1 / (x² · y⁵) and x⁻² · y⁻⁵. (Correct choices: C, D)

In this question we have a power function with two variables and which has to be simplified by using power properties. The detailed procedure is shown below:

By using power properties, the expression y⁸ · y³ · x⁰ · x⁻² is equivalent to the expressions 1 / (x² · y⁵) and x⁻² · y⁻⁵. (Correct choices: C, D)

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h'(4) = 7. This means that the derivative of the function h(x) at x = 4 is equal to 7.The positive value of h'(4) indicates that at x = 4, the function h(x) is increasing, with a slope of 7.

To find h'(4), where h(x) = f(x) * g(x), we'll use the product rule of differentiation. The product rule states that the derivative of a product of two functions is given by the derivative of the first function times the second function, plus the first function times the derivative of the second function.

Given:

f(4) = 3

g(4) = 4

f'(4) = -2

g'(4) = 5

Let's differentiate h(x) using the product rule:

h'(x) = f'(x) * g(x) + f(x) * g'(x)

Substituting the given values at x = 4:

h'(4) = f'(4) * g(4) + f(4) * g'(4)

      = (-2) * 4 + 3 * 5

      = -8 + 15

      = 7

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Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

x + y = 420; y = 6x

Thus, 420 fish were ultimately caught, with 6x standing in for "6 times as much."

The smallest and largest fish range in size from 1 cm to 18 m. 18 m then equals 18 x 100 or 1800 cm. ∴ The length of large fish exceeds that of little fish by 1800 times.

The number of parrotfish Carlos purchased is represented by the variable y, whereas the number of angelfish Carlos purchased is represented by the variable x.

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The amount of money he paid monthly is   £503.75.

Andy is buying a car he negotiated 7% decrease on a £6500 car he will pay the full balance in 12 equal monthly payments.

Therefore, the amount paid monthly can be calculated as follows:

amount he bough the car = 6500 - 7% of 6500

amount he bough the car = 6500 - 7 / 100 × 6500

amount he bough the car =  6500 - 455

amount he bough the car = 6045

Therefore,

amount paid each month = 6045 / 12

amount paid each month =  £503.75

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