20 POINTS
A city has a population of 120,000 people. Suppose the population grows by 4% each year. What will the population be after 10 years? Round your answer to the nearest whole number.

Answer:

b. 5

Step-by-step explanation:

Answer:

120/1

Step-by-step explanation:

Since she can type 120 words per 1 minute, this is a unit rate, and therefore, my answer is the lowest it can be simplified without going into decimals.

In a given year, an economy has 10 million unemployed workers and 120 million employed workers. This information provides a snapshot of the labor market and indicates the number of individuals who are currently without jobs and those who are employed.

The information states that in the given year, there are 10 million unemployed workers and 120 million employed workers in the economy. This data provides a measure of the labor market situation at a specific point in time.

Unemployed workers refer to individuals who are actively seeking employment but currently do not have a job. The number of unemployed workers can be an important indicator of the health of an economy and its ability to provide job opportunities.

Employed workers, on the other hand, represent individuals who have jobs and are currently working. The number of employed workers indicates the size of the workforce that is actively contributing to the economy through productive activities.

By knowing the number of unemployed and employed workers, policymakers, economists, and analysts can assess factors such as labor market conditions, unemployment rates, and workforce participation rates. This information is crucial for formulating policies, understanding economic dynamics, and monitoring the overall health and functioning of the economy.

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 In the given game, if Carolyn removes the integer 2 on her first turn and $n=6$, we need to determine the sum of the numbers that Carolyn removes.

Let's analyze the game based on Carolyn's move. Since Carolyn removes the number 2 on her first turn, Paul must remove all the positive divisors of 2, which are 1 and 2. As a result, the remaining numbers are 3, 4, 5, and 6.
On Carolyn's second turn, she cannot remove 3 because it is a prime number. Similarly, she cannot remove 4 because it has only one positive divisor remaining (2), violating the game rules. Thus, Carolyn cannot remove any number on her second turn.
According to the game rules, Paul then removes the rest of the numbers, which are 3, 5, and 6.
Therefore, the sum of the numbers Carolyn removes is 2, as she only removes the integer 2 on her first turn.
To summarize, when Carolyn removes the integer 2 on her first turn and $n=6$, the sum of the numbers Carolyn removes is 2.

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the complete question is:

  Carolyn and Paul are playing a game starting with a list of the integers $1$ to $n.$ The rules of the game are: $\bullet$ Carolyn always has the first turn. $\bullet$ Carolyn and Paul alternate turns. $\bullet$ On each of her turns, Carolyn must remove one number from the list such that this number has at least one positive divisor other than itself remaining in the list. $\bullet$ On each of his turns, Paul must remove from the list all of the positive divisors of the number that Carolyn has just removed. $\bullet$ If Carolyn cannot remove any more numbers, then Paul removes the rest of the numbers. For example, if $n=6,$ a possible sequence of moves is shown in this chart: \begin{tabular}{|c|c|c|} \hline Player & Removed \# & \# remaining \\ \hline Carolyn & 4 & 1, 2, 3, 5, 6 \\ \hline Paul & 1, 2 & 3, 5, 6 \\ \hline Carolyn & 6 & 3, 5 \\ \hline Paul & 3 & 5 \\ \hline Carolyn & None & 5 \\ \hline Paul & 5 & None \\ \hline \end{tabular} Note that Carolyn can't remove $3$ or $5$ on her second turn, and can't remove any number on her third turn. In this example, the sum of the numbers removed by Carolyn is $4+6=10$ and the sum of the numbers removed by Paul is $1+2+3+5=11.$ Suppose that $n=6$ and Carolyn removes the integer $2$ on her first turn. Determine the sum of the numbers that Carolyn removes.

To represent decimal values ranging from 0 to 12,500, we need 14 bits.

To determine the number of bits needed to represent decimal values ranging from 0 to 12,500, we need to find the smallest number of bits that can represent the largest value in this range, which is 12,500.

The binary representation of a decimal number requires log base 2 of the decimal number of bits. In this case, we can calculate log base 2 of 12,500 to find the minimum number of bits needed.

log2(12,500) ≈ 13.60

Since we can't have a fraction of a bit, we round up to the nearest whole number. Therefore, we need at least 14 bits to represent values ranging from 0 to 12,500.

Using 14 bits, we can represent decimal values from 0 to (2^14 - 1), which is 0 to 16,383. This range covers the values 0 to 12,500, fulfilling the requirement.

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So, we have the following equation...

\(12*4=?\)

To do this its pretty simple just multiply 12 by 4.

\(12*4=48\).

Your final answer is \(48\)!

I only need 3 more brainliests so if i could get one that would be a big help!

Answer:

⅛

Step-by-step explanation:

There are two sides of a coin which means that the profanity of getting one side of the coin is ½.

There are 14 candies in total of which 7 are red, meaning that the probability of getting a red candy is 7/14, which is the same as ½.

There are 6 sides to a die, of which 3 sides contain the odd numbers 1,3 and 5. This would mean that the probability of getting an odd number on the die is 3/6, which is the same as ½.

Now to work out the probability of getting a red candy, a heads and an odd number on the die, you have to times the probability of each together to get you final answer.

So it will be, ½×½×½=⅛

For a trinomial of the form ax^2 + bx + c where a = 1, the factoring process can be done by finding two numbers that multiply to c and add up to b.

Once these two numbers are found, they can be used to rewrite the middle term as the sum of two terms, which can then be factored using the distributive property. The resulting factored form will be (x + m)(x + n), where m and n are the two numbers found earlier.

Example: Factor x^2 + 7x + 10

Find two numbers that multiply to 10 and add up to 7: 2 and 5

Rewrite the middle term as the sum of two terms using these numbers: x^2 + 2x + 5x + 10

Factor by grouping: (x^2 + 2x) + (5x + 10) = x(x + 2) + 5(x + 2) = (x + 2)(x + 5)

The factored form is (x + 2)(x + 5)

For a trinomial of the form ax^2 + bx + c where a ≠ 1, the factoring process is a bit more complex and involves finding two numbers whose product is equal to a*c and whose sum is equal to b. These two numbers are used to rewrite the middle term, and then the trinomial can be factored by grouping or by using the quadratic formula.

Example: Factor 2x^2 + 7x + 3

Find two numbers that multiply to 2*3 = 6 and add up to 7: 6 and 1

Rewrite the middle term using these two numbers: 2x^2 + 6x + x + 3

Factor by grouping: (2x^2 + 6x) + (x + 3) = 2x(x + 3) + 1(x + 3) = (2x + 1)(x + 3)

The factored form is (2x + 1)(x + 3)

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Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.

We know that Betrys is cooking for 8 people, and we know that a recipe for 2 people needs 10 ounces.

8 people is 4 times 2 people, then for 8 people you need 4 times 10 ounces, this is 4*10 oz = 40 ounces.

Now we can apply a change of units, remember that:

1 oz = 28 grams

Then the total amount she needs is:

40 oz = 40*28 g = 1,120 g

So she needs in total 1,120 grams, and in the balance, she already has 720 grams, so the amount that she needs is given by the subtraction:

1,120 g - 720g = 400

Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.

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Answer:

c. no real solutions

Step-by-step explanation:

because the x's will not be there

To determine the dividend yield that a dividend-paying stock would have to offer for Keisha to be indifferent between investing in the stock or a city of Atlanta bond, we need to consider the after-tax cash flows for both investments.

For the city of Atlanta bond, the interest rate is 6.3 percent. Since Keisha's marginal tax rate is 37 percent, her after-tax yield from the bond would be:

After-tax bond yield = (1 - Marginal tax rate) * Bond yield

After-tax bond yield = (1 - 0.37) * 6.3%

After-tax bond yield = 0.63 * 6.3%

After-tax bond yield = 3.969%

Now, let's assume the dividend yield of the dividend-paying stock is represented by "X." The after-tax dividend yield would be calculated by applying Keisha's tax rate on dividends:

After-tax dividend yield = (1 - Tax rate on dividends) * Dividend yield

After-tax dividend yield = (1 - 0.25) * X

After-tax dividend yield = 0.75X

To determine when Keisha is indifferent between the two investments, we set the after-tax bond yield equal to the after-tax dividend yield:

0.63 * 6.3% = 0.75X

Simplifying the equation:

0.03969 = 0.75X

Dividing both sides by 0.75:

X = 0.03969 / 0.75

X ≈ 0.0529

Therefore, for Keisha to be indifferent between investing in a city of Atlanta bond with a 6.3 percent interest rate and a dividend-paying stock, the dividend yield of the stock would have to be approximately 5.29%.

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To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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Jackie pays $130 monthly for her group health insurance.

To find out how much Jackie pays for her group health insurance monthly, we need to calculate 40% of the annual cost. Given that the annual cost is $3,900 and her company pays 40% of that, we can calculate the amount Jackie pays.

First, we find the company's contribution by multiplying the annual cost by 40%: $3,900 × 0.40 = $1,560. This is the amount the company pays towards Jackie's health insurance.

To determine Jackie's monthly payment, we divide her annual payment by 12 (months in a year) since she pays monthly. So, Jackie's monthly payment is $1,560 ÷ 12 = $130.

Therefore, Jackie pays $130 per month for her group health insurance. This calculation takes into account the company's contribution of 40% of the annual cost, resulting in an affordable monthly payment for Jackie.

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Answer:

A, all three angles of a triangle equal 180

Answer:

b. x + 40 = 90

Step-by-step explanation:

This is a right triangle, so we already know one of the angles is 90 degrees. The other angles combine to make the other 90 degrees. So, we have to figure out what the other angle is, as the second one is 40 degrees.  To figure that out, use the equation x + 40 = 90. (This is extra, but x is 50, right?)

The correct answer is option D) 22,25,33,35,37,40,45.

To create a box plot, we need to find the minimum value, the maximum value, the median, and the quartiles of the data set.

Now, let's check which of the given data sets matches the information provided in the box plot:

A) 22,29,34,36,39,45: This data set does not have a minimum value of 20 or a maximum value of 45, so it cannot be represented by the given box plot.

B) 20,30,35,40,45: This data set has the correct minimum and maximum values, but it does not have a median of 32.5 or an IQR of 10, so it cannot be represented by the given box plot.

C) 22,25,35,35,35,35,36,44,45: This data set has the correct minimum and maximum values and a median of 32.5, but it does not have an IQR of 10. The Q₁ and Q₃ values are also different from the given box plot, so it cannot be represented by the given box plot.

D) 22,25,33,35,37,40,45: This data set has the correct minimum and maximum values, a median of 32.5, and an IQR of 10. The Q1 and Q3 values also match the given box plot. Therefore, this data set could be represented by the given box plot.

So, the correct answer is option D) 22,25,33,35,37,40,45.

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To find the common ratio and the first four terms of the geometric sequence {(9^n+2)/(3)}, let's first rewrite the given expression to make it easier to understand i.e. Term a_n = (9^n+2)/3

Now, let's find the first four terms:
a_1 = (9^(1)+2)/3 = (9+2)/3 = 11/3
a_2 = (9^(2)+2)/3 = (81+2)/3 = 83/3
a_3 = (9^(3)+2)/3 = (729+2)/3 = 731/3
a_4 = (9^(4)+2)/3 = (6561+2)/3 = 6563/3

The first four terms are:
a_1 = 11/3
a_2 = 83/3
a_3 = 731/3
a_4 = 6563/3

To find the common ratio, divide the second term by the first term (or any consecutive terms):
Common ratio = a_2 / a_1 = (83/3) / (11/3) = 83/11 = 3

So, the common ratio is indeed 3, and the first four terms are 11/3, 83/3, 731/3, and 6563/3.

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Answer:

29° C

Step-by-step explanation:

-17(-12)

=29

Hope this helps

Answer:

29C

Step-by-step explanation:

Above zero temperature = +17C

Below zero temperature = -12C

Difference= 17 - (-12C)

                 = 17 + 12 C

                 =29C

Usando un sistema de ecuaciones, se encuentra que

Para el sistema, hay que:

$845 por 3 libros de Algebra, 5 libros de Geometría Analítica y 2 libros de Cálculo Diferencial, o sea:

\(3x + 5y + 3z = 845\)

$580 por 2 libros de Geometría Analítica, 4 libros de Algebra y 1 libro de Cálculo Diferencial, o sea:

\(4x + 2y + z = 580\)

$605 por un libro de Algebra, 3 libros de Geometría Analítica y 3 de Cálculo Diferencial, o sea:

\(x + 3y + 3z = 605\)

Reemplazando la segunda equación en las otras duas:

\(z = 580 - 4x - 2y\)

\(3x + 5y + 3z = 845\)

\(3x + 5y + 3(580 - 4x - 2y) = 845\)

\(-9x - y = -895\)

\(9x + y = 895\)

\(y = 895 - 9x\)

\(x + 3y + 3z = 605\)

\(x + 3y + 3(580 - 4x - 2y) = 605\)

\(-11x - 3y = -1135\)

\(11x + 3y = 1135\)

\(y = 895 - 9x\), por eso:

\(11x + 3(895 - 9x) = 1135\)

\(-16x = -1550\)

\(x = \frac{1150}{16}\)

\(x = 96.875\)

\(y = 895 - 9x = 895 - 9(96.875) = 23.125\)

\(z = 580 - 4(96.875) - 2(23.125) = 146.25\)

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The required probability that their scores differ by more than 15 points is 0.99807.

As stated in the question, a specific country administers an exam to students with scores that are regularly distributed with a mean of 41 points and a standard deviation of 9 points. Assume we randomly select two of these testers and define the random variable d as the difference in their scores.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Z = x - μ / σ
Z = 15 - 41 / 9
Z = -2.88
Now,
P(x > 15) = P (z > -2.88)
            = 0.99807

Thus, the needed chance is 0.99807 and their scores differ by more than 15 points.

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The expected value of the random variable XY is E[XY] = 7/3, and the expected value of the random variable X is E[X] = 5/3.

To calculate the expected value of XY, we need to find the sum of the product of XY and their respective probabilities for all possible values of X and Y. Using the provided joint probability mass function, we have:

E[XY] = ΣΣ (XY) * P(X=x, Y=y)

To simplify the calculation, we can consider the possible values of X and Y. The given range is x = 1, 2, 3 and y = 1, 2. Evaluating each term:

E[XY] = (1*1) * P(X=1, Y=1) + (1*2) * P(X=1, Y=2) +

       (2*1) * P(X=2, Y=1) + (2*2) * P(X=2, Y=2) +

       (3*1) * P(X=3, Y=1) + (3*2) * P(X=3, Y=2)

Substituting the joint probability mass function P(X=x, Y=y) = 2/(x+y), we can calculate each term and simplify:

E[XY] = (1*1) * 2/2 + (1*2) * 2/3 +

       (2*1) * 2/3 + (2*2) * 2/4 +

       (3*1) * 2/4 + (3*2) * 2/5

E[XY] = 7/3

To find E[X], we need to calculate the expected value of X. We can sum the product of X and its respective probability for each value of X:

E[X] = Σ (X) * P(X=x)

E[X] = (1) * P(X=1) + (2) * P(X=2) + (3) * P(X=3)

Substituting the joint probability mass function P(X=x, Y=y) = 2/(x+y), we can calculate each term and simplify:

E[X] = (1) * (2/2 + 2/3 + 2/4) + (2) * (2/3 + 2/4 + 2/5) + (3) * (2/4 + 2/5)

E[X] = 5/3

Therefore, the expected value of XY is E[XY] = 7/3, and the expected value of X is E[X] = 5/3.

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For given circle, Area of shaded region is 52π cm².

What exactly is a circle?

A circle is a kind of ellipse with zero eccentricity and two foci that are coincident. A circle is also known as the locus of points drawn at equal distances from the center. The radius of a circle is the distance from its center to its outside line. The diameter of a circle is the line that divides it into two equal sections and is equal to twice the radius.

The equation for a circle in the plane is:

(x-h)^²+ (y-k)² = r²

When the coordinate points are (x, y)

(h, k) is the coordinate of a circle's center.

where r is the circumference of a circle.

where circle area = πr²

Circle circumference=2πr

Now,

Radius of biggest circle = 8cm

radius of unshaded circle= 4cm and

radius of smaller shaded circle= 2cm

Then,

Area of shaded region= Area of biggest circle - area of white circle + area of smaller shaded circle

=π*8² - π*4² + π*2²

=64π-16π+4π

=52π cm²

hence,

           Area of shaded region is 52π cm².

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Answer:

a) Vertical.

Step-by-step explanation:

There is no value of ln x <= 0.

The asymptote ix x = 0 (that is the y-axis).

2/221 is the probability that a 2-card hand has two queens, two kings, or one of each.

Now, calculate the probability as follows:

Then, it can be either KK or QQ.

So required probability = 2king or 2 queen

Therefore, the probability that a 2-card hand (drawn from a standard deck of 52) has two queens, two kings, or one of each is 2/221.

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Answer:Corporations step up their expansion plans and thus increase their demand for capital.

Step-by-step explanation:

The given formula for the sum of the first n terms of an arithmetic sequence is Sn = n^2 - 2n. To determine the first term and the common difference of the arithmetic sequence, we can analyze the given formula.

The sum of an arithmetic sequence is given by the formula Sn = (n/2)(2a + (n-1)d), where a is the first term, d is the common difference, and n is the number of terms.

Comparing the given formula Sn = n^2 - 2n with the formula Sn = (n/2)(2a + (n-1)d), we can see that n^2 - 2n is equivalent to (n/2)(2a + (n-1)d). By equating the corresponding terms, we have the following equations:

n = n/2 (for the first term)

-2 = 2a + (n-1)d

From the first equation, we find that n = 2. Substituting this value of n into the second equation, we have -2 = 2a + (2-1)d, which simplifies to -2 = 2a + d. Therefore, the first term of the arithmetic sequence is a = -1, and the common difference is d = -3.

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The mean of X is 0, the variance is approximately 0.333, and the standard deviation is approximately 0.577. And the value for x such that P(-x < X < x) = 0.8 is x = 0.8.

The mean, variance, and standard deviation of a continuous uniform distribution over the interval [a, b] can be calculated as follows:

Mean = (a + b) / 2

Variance = (b - a)^2 / 12

Standard deviation = sqrt(Variance)

In this case, X has a continuous uniform distribution over the interval [-1, 1]. Therefore:

Mean = (-1 + 1) / 2 = 0

Variance = (1 - (-1))^2 / 12 = 1/3

Standard deviation = sqrt(Variance) = sqrt(1/3) ≈ 0.577

Therefore, the mean of X is 0, the variance is approximately 0.333, and the standard deviation is approximately 0.577.

To determine the value for x such that P(-x < X < x) = 0.8, we need to find the corresponding quantiles of the continuous uniform distribution.

Since X has a continuous uniform distribution over [-1, 1], the probability distribution is symmetric around the mean, which is 0 in this case. Therefore, we can rewrite the probability as P(0 < X < x) = 0.4.

Using the cumulative distribution function (CDF) of the continuous uniform distribution, we can find the corresponding quantile:

CDF(x) = (x - a) / (b - a)

Substituting the values for X, we have:

0.4 = (x - 0) / (1 - (-1))

0.4 = x / 2

Solving for x, we find:

x = 0.8

Therefore, the value for x such that P(-x < X < x) = 0.8 is x = 0.8.

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The area of the concave hexagon is 24/√2

Given that,

Having radii of 2 and 4, respectively, and being externally tangent, are circles with centers O and P. The circle with the center at O has points A and B, while the circle with the center at P has points C and D, so that

AD and BC are frequent tangents to the outside of the circles.

To find : What is the hexagon's area?

ADPO and OPBC are congruent right trapezoids with legs 2 and 4 and with OP equal to 6. Draw an altitude from O to either DP or CP,

Creating a rectangle with width 2 and base x, and a right triangle with one leg 2, the hypotenuse 6, and the other aa Using the Pythagorean theorem, \($x$\) is equal to \($4\sqrt{2}$\) , and x is also equal to the height of the trapezoid. The area of the trapezoid is thus

Area = 1/2 * (4+2).4√2 = 12√2

and the total area is two trapezoids, or 24/√2

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we have that

the area of the shaded region is equal to the area of rectangle minus the area of the circle

step 1

Find the area of the circle

A=pi(r^2)

we have

r=4 units

substitute

A=pi(4^2)

A=16pi unit2

step 2

Find the area of rectangle

A=b*h

we have

h=2(4)=8 units

b=9+4=13 units

substitute

A=13(8)

A=104 unit2

therefore

the area of the shaded region is

im sorry i do not know but heres a tip, if u want people to answer quick put a lotta points. they go crazy

Answer: number 1 is wrong number 2 is I think 4

number 4 is one-twelfth i think and number 3 is 2 i believe

Step-by-step explanation: sorry if I am wrong i'm in middle school