compute the approximate elasticity of demand from the following data: price quantity initial situation $23 11.5 new situation 20 13.5 .87 1.15 5.0 1.5

Thus, 2002 + 23 = 2025 is the year at which the populace hits 7 million.

The meaning of an equation in algebra is a mathematical assertion that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are split by the 'equal' symbol.

To find the year when the population reaches 7 million people, we need to solve the equation:

f(x) = 7

where f(x) represents the population, in millions of x years after 2002, and x is the number of years after 2002.

Substituting the given function f(x) = 6.7(1.0032)x into this equation, we get:

6.7(1.0032)x = 7

Dividing both sides by 6.7, we get:

1.0032x = 1.0448

When we take the natural log of both parts, we obtain:

ln(1.0032)x = ln(1.0448)

Using the logarithmic identity ln(aᵇ) = b ln(a), we can simplify this to:

x ln(1.0032) = ln(1.0448)

Dividing both sides by ln(1.0032), we get:

x = ln(1.0448) / ln(1.0032)

Using a calculator, we find:

x ≈ 22.6

Therefore, the population will reach 7 million people approximately 22.6 years after 2002. Rounding this to the nearest whole number, we get:

x ≈ 23

So the year when the population reaches 7 million people is 2002 + 23 = 2025.

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Hope it helps just read it and type it in XD

Answer:

11.3 - 8.7n

Step-by-step explanation:

Its almost basically combining like terms

You subtract - 5.7n - 3n to get -8.7n, then you add 3.3 + 8 to get 11.3 and you finally put it an equation 11.3 - 8.7n

Given that;

Liana takes 2 pages of notes during each hour of class. ​

To write a proportional relationship, let x represent the time in class and y represent the number of pages.

according to the question, the constant of proportionality is equal to 2. ( 2 pages per hour).

So, the equation becomes;

Therefore, an equation to represent the proportional relationship is;

We can represent the equation on the graph as;

We can also represent it on the table as;

Where x is in hours and y is in pages.

In 53,721,360 ways can the sites for the new stores be selected.

A department store chain is expanding into a new market. It is considering 22 different sites on which to locate 6 stores. Let us assume  each site is equally likely to be chosen.

We can find number of ways by multiplying the amount of possibility each store can have.

The store 1, it can be placed on 22 sites. The Store 2 can be placed on 21 sites (since store 1 is already on site 1). The Store 3 can be placed on 20 sites. Store 4 which has 19sites. store 5 which has 18 sites. And  store 6 which has 17 sites.

Therefore the number of ways the sites for the new stores be selected is:

C = 22 × 21 × 20 × 219 × 18 × 17

C = 53,721,360 possibilities

Thus, the sites for the new stores be selected in 53,721,360 ways.

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Answer:

See below.

Step-by-step explanation:

They invested in a ratio of Julie:Kristen of 5:12.

5 + 12 = 17

Julie invested 5/17 of the amount, and Kristen invested 12/17 of the mount.

a.

Julie: 5/17 * $51,000 = $15,000

Kristen: 12/17 * $51,000 = $36,000

b.

Kristen owns 12/17 of the business.

As a percent, 12/17 = 12/17 * 100% = 70.6%

c.

The percent of the business each owns does not change with the amount the company is worth.

Kristen owns 70.6%, so Julie owns 100% - 70.6% = 29.4%

-9

Step-by-step explanation:

1/5^9=5^1

5^-9=5^1

-9=1

therefore the answer is -9

Answer:

A is 30 inches

b is Yes

c

Step-by-step explanation:

In a statistical problem, a population consists of all items of interest in a statistical problem.The correct option in this case is option C - all items of interest in a statistical problem.

Population refers to the complete set of observations or items for which inferences are being made in statistical inference. It's the group that researchers are interested in studying, and it's the group to which they hope to extend their conclusions.

In statistics, the population is the entire collection of individuals, objects, or measurements that researchers are interested in studying. Researchers utilize statistical techniques to make inferences about population parameters based on data obtained from samples.

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Answer:x=5/4

Step-by-step explanation:

you can take numbers with same variable(i mean x or y or other) in the same side:

2+3x=12-5x

2-12=-5x-3x

-10=-8x

x=10/8=5/4

Answer:

x = 5/ 4

Step-by-step explanation:

2 + 3x =12- 5x

3x + 5x = 12 - 2

8x = 10

x = 10/8

x = 5/4

Answer:

Step-by-step explanation:

Here is the corrected question and options:

Option 1:

\(7\frac{1}{3} , \frac{221}{30} , 7.36, 3.16\sqrt{2e}\)

Option 2:

\(7\frac{1}{3} , 7.36 , \frac{221}{30} , 3.16\sqrt{2e}\)

Option 3:

\(3.16\sqrt{2e}, 7.36 , \frac{221}{30} , 7\frac{1}{3}\)

Option 4:

\(3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}\)

Solution:

Lets write each of the above given numbers in a simplified form:

\(7\frac{1}{3}\)

Simplify this by converting it into a decimal form:

This becomes:

(3*7+1) / 3 = (21 + 1) / 3 = 22/3 = 7.333333

So

\(7\frac{1}{3}\) = 7.3

\(\frac{221}{30}\)

Simplify this by converting it into a decimal form:

This becomes:

221/30 = 7.3666666667

So,

\(\frac{221}{30}\) = 7.367

\(7.36\)

This number comes with a bar sign on .36 which means that the number has a non terminating repeating decimal expansion as 7.3636363636...

So after rounding it off this becomes:

7.36

\(3.16\sqrt{2e}\)

Simplify this by converting it into a decimal form:

The value of e = 2.718

This becomes:

3.16 \(\sqrt{2*2.718}\)

= 3.16 (√5.436)

= 3.16 * 2.331523

=  7.3679949818

= 7.368

So

\(3.16\sqrt{2e}\) = 7.368

7.367995

Now we get the numbers in decimal form:

\(7\frac{1}{3}\) = 7.333333 = 7.3

\(\frac{221}{30}\) = 7.3666666667 = 7.367

7.36 = 7.3636363636

\(3.16\sqrt{2e}\) = 7.3679949818 = 7.368

Now lets order the numbers from greatest to least:

\(3.16\sqrt{2e}\)

\(\frac{221}{30}\)

7.36

\(7\frac{1}{3}\)

So the correct option is:

Option 4

\(3.16\sqrt{2e}, \frac{221}{30} , 7.36 , 7\frac{1}{3}\)  

The statistical population in this situation is the zoologists graduating from a Midwestern university. The sample is the twenty graduating seniors who were asked to report their starting salary. The variable of interest is the starting salary of the zoologists.

(a) In order to learn about starting salaries for zoologists graduating from a Midwestern university, a sample of twenty graduating seniors was selected. These twenty individuals represent the statistical population of interest. The variable of interest in this study is their starting salary. By collecting data from these individuals, researchers aim to gain insights into the typical starting salaries for zoologists in that specific region and educational setting.

(b) The statistical population in this situation is the thousand trees on the specific farm. The sample is the fifty trees that were selected for examination. The variable of interest is whether or not the trees are infected by disease.

In a specific farm with a thousand trees, a sample of fifty trees was chosen to be examined. These fifty trees represent the statistical population of interest. The variable of interest in this study is the presence of disease infection among the trees. By assessing the sample, which comprised 5 infected trees, researchers aim to estimate the prevalence and assess the overall health of the tree population on the farm.

(c) The statistical population in this situation is all specimens that could conceivably be manufactured with the new plastic material. The sample is the 20 specimens made of the new plastic material that were selected for testing. The variable of interest is the tensile strength of the specimens.

In the context of evaluating a new plastic material, the statistical population includes all possible specimens that can be manufactured using this material. A sample of 20 specimens was selected from this population to measure and analyze their tensile strength. By examining the sample, researchers aim to gain insights into the typical tensile strengths that can be expected for all possible specimens manufactured using the new plastic material.

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Answer:

11:15PM

Step-by-step explanation:

The difference between 4.6°C and -2.1°C is 6.7

0.75×?=6.7

?=9

This is 9 half hours, which is equal to 4 1/2 hours.

Hope it helped! Please give brainliest, thank me and rate it 5 please. :)

The time at which the temperature was -2.1°C is 5:05 PM

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The temperature is changing at a constant rate of = -0.75° C every half hour

So ,

30 min = -0.75° C

Divide by 3 on both sides , we get

10 min = -0.25°C

So , temperature is changing at a constant rate of = -0.25° C every 10 minutes

Now , the temperature at 6:45 PM = -4.6°C

So ,

The temperature at 6:15 PM = -4.6 + 0.75

                                               = -3.85°C

The temperature at 5:45 PM = -3.85 + 0.75

                                                = -3.1°C

The temperature at 5:15 PM = -3.1 + 0.75

                                               = -2.35°C

Now , for it to be -0.25°C , the time elapsed will be 10 minutes

So ,

The temperature at 5:05 PM = -2.35°C + 0.25°C

                                                = -2.1°C

Hence , the time at which the temperature was -2.1°C is 5:05 PM

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Answer:

Based on the given conditions, formulate:  

Reduce the fraction:

get the result:

Answer:

Step-by-step explanation:

The Amrit's income is £27434.16.

It is required to find the

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let the Bethan's income be x

Amrit's income is 32% more than Bethan's income.

So, Amrit's income=x+32%

Amrit and Bethan's combined income is £54868.

According to given question we have

x+x+32%=£54868

2x+32/100=£54868

2x=54868-0.32

2x=54867.68

x=27433.84

Bethan's income=£ 27433.84

Amrit's income

=x+32%

=£ 27433.84+0.32

=£27434.16

Therefore, the Amrit's income is £27434.16.

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Answer:

£53.10

Step-by-step explanation:

find 10% of £59=£5.90

then do £59-£5.90=£53.10

The perimeter is 34 , if I have to multiply each number by 2 and then add them, if not it is 17.

Answer:

36 and 45

Step-by-step explanation:

Answer:

a, c, and e

Step-by-step explanation:

Answer:

\(\frac{5}{3} \\.3846153846\)

Step-by-step explanation:

Rotating an image 90 degrees counterclockwise means turning the image so that it appears to be facing to the left. This can be done using various software programs, including image editors like Adobe Photoshop or online tools like PicMonkey.

In Adobe Photoshop, you can rotate an image 90 degrees counterclockwise by selecting the "Transform" option from the "Edit" menu. This will bring up a bounding box around the image, and you can then use the "Rotate" tool to turn the image counterclockwise.

If you are using an online tool, the process is similar. Simply upload the image you want to rotate, select the "Rotate" tool, and then choose the "90 degrees counterclockwise" option.

In conclusion, rotating an image 90 degrees counterclockwise is a straightforward process that can be done using various software programs and online tools. Whether you are editing photos for personal use or for a school project, understanding image manipulation is an important skill to have.

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The values of p, q, and r are p = 2, q = 5, and r = 3, respectively.

Given that the lowest common multiple (LCM) of A and B is 2250, and the prime factorization of A is A = 2 × p × q¹, and the prime factorization of B is B = 2 × p² × q², we can compare the prime factorizations to determine the values of p, q, and r.

From the prime factorization of 2250 (2 × 3² × 5³), we can observe the following:

The prime factor 2 appears in both A and B.

The prime factor 3 appears in A.

The prime factor 5 appears in A.

Comparing this with the prime factorizations of A and B, we can deduce the following:

The prime factor p appears in both A and B, as it is present in the common factors 2 × p.

The prime factor q appears in both A and B, as it is present in the common factors q¹ × q² = q³.

From the above analysis, we can conclude:

p = 2

q = 5

r = 3.

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Answer:

y = 1500 * 1.09^t

Step-by-step explanation:

It should be clear that the rate of change is non-linear, meaning that we can express the function in the following manner

y = a * b^t, where a is the initial value and b is the rate of change and t is how many years.

Well, year 0 is the rate of change so we can say that a = 1500

Next, we divide any two consecutive year balances to find our rate of change:

1635/1500 = 1.09

Therefore, our equation looks like this: y = 1500 * 1.09^t

A gram is a unit of weight, while a cup is a unit of volume. So, to convert between grams and cups, we need to know the density of the ingredient being measured. 400 grams of sugar has a volume of about 2.5 cups

When measuring ingredients for cooking or baking, it is often necessary to convert between different units of measurement. One common conversion is between grams and cups. To convert 400 grams to cups, we first need to find out the density of the ingredient in question. Density is the mass of an object per unit volume. The density of a substance can vary depending on factors such as temperature, pressure, and humidity. In general, the denser an ingredient is, the less volume it will take up for a given weight. For example, 400 grams of flour has a volume of about 2 cups. However, 400 grams of sugar has a volume of about 2.5 cups. This is because flour is less dense than sugar. Therefore, to convert 400 grams to cups, you will need to know the density of the ingredient in question.

It is worth noting that there is no exact conversion factor between grams and cups. There are different conversion factors for different ingredients, as the densities of different ingredients can vary. Therefore, it is important to consult a conversion chart or recipe that lists the appropriate conversion factor for the specific ingredient you are using.

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Answer:

r = 29/8 or 3 5/8

Step-by-step explanation:

so you need to make them have the same denominator so you multiply 3/4 by 2/2 to get that

this equals 6/8

add 3 so 24/8

then you subtract 1/8 from both sides

r = 29/8

simplify so 29/8 = 3 5/8

Answer:

4+8+6=18

6+4+8=18

6+12=18

A Is Correct

Step-by-step explanation:

use ur smartness and brain will help u out

Answer: x=2, y=4

Step-by-step explanation:

Use the elimination method to find x and y.

3x-y=2

2x+y=8

5x=10

x=2

Using the value of x, plug it in the equation to get the value of y.

4+y=8

y=4

The mass of the bar of chocolate in kilogram, kg is calculated to be 1.8kg

Given data

mass of a bar of chocolate is 1800g

density of the chocolate is 9g/cm

density is defined the ratio of mass and volume. therefore the density of the chocolate will be the ratio of the mass of the chocolate bar to the volume of the chocolate. this represented mathematically as:

The mass of the bar of chocolate is given in grams as 1800g

converting the unit to kg is done as follows

if 1kg is equal to 1000g, then how many kg is 1800g

= 1800 / 1000

= 1.8 kg

hence the mass of the chocolate bar in kg is 1.8 kg

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