The population of a municipality before 2 years was 60,000 and the rate of annual growth of population is 2%. If the numbers of in-migrants and out-migrants at the end of 2 years were 750 and 410 respectively and 620 people died within this time interval, find the present population of the municipality.​

Answers

Answer 1

Answer:

62,144

Step-by-step explanation:

60,000 x (1 + 2%)^2 : growth in 2 years

+ 750: in migrants

- 410: out migrants

- 620: died

Answer 2

Answer:

62,144

Step-by-step explanation:

[tex]60,000 \times (1 + 2\%)^{2} [/tex]

➡️ [tex] = 62,424[/tex]

In-migrants:

➡️ [tex]750 - 410 = 340[/tex]

now:

[tex]62,424 + 340 - 620[/tex]

➡️ [tex] = 62,144[/tex]

So, the present of the municipality is 62,144


Related Questions

help asap show work and no links pls

Answers

Answer:

f(1) = 2 f(3) = 8 f(t) = 2^t

Step-by-step explanation:

you just plug in the number in the parenthesis next to f to x in the equation 2^x

Simplify: (4x2 - 9x + 11)(x - 6)

A. 4x3 - 33x2 + 65x + 66
B. 4x3 - 33x2 + 65x - 66
C. 4x3 + 15x2 - 43x + 66
D. 4x3 - 15x2 - 43x - 66

Answers

Answer:

It's option B. 4x^3 - 33x^2 + 65x - 66

See the attached image for my work:

An unknown metal having a mass of 287.8 g was added to a graduated cylinder that contained
31.47 mL of water. After the addition of the metal, the water level rose to 58.85 mL. Determine
the volume of the metal. Calculate the density of the metal using dimensional analysis.

Answers

The metal displaced a volume of

58.85 mL - 31.47 mL = 27.38 mL = 27.38 cm³

of water, which is to say the metal has this volume.

If the metal has a mass of 287.8 g, then its density is its mass per unit volume,

(287.8 g)/(27.38 cm³) ≈ 10.51 g/cm³

what is the shaded region known as​

Answers

The shaded region of a circle formed by one line as shown in the image is called a segment.

Answer: segment

If f(x) = x (ln x), find f'(x).
A. e^(x + 1)
B. 1 + ln x
C. 1 + e^x
D. (ln x)^2 + x

Answers

Answer:

[tex]f'(x)=1+\ln x[/tex]

Step-by-step explanation:

[tex]f'(x)[/tex] is notation for the first derivative of [tex]f(x)[/tex].

Recall the product rule:

[tex](f\cdot g)'=f'\cdot g+g'\cdot f[/tex]

Therefore, we have:

[tex]\displaystyle \frac{d}{dx}(x\ln x)=\frac{d}{dx}(x)\cdot \ln(x)+\frac{d}{dx}(\ln x)\cdot x[/tex]

Note that:

[tex]\displaystyle \frac{d}{dx}(x)=1,\\\\\frac{d}{dx}(\ln x)=\frac{1}{x}[/tex]

Simplify:

[tex]\displaystyle \frac{d}{dx}(x\ln x)=1\cdot \ln x+\frac{1}{x}\cdot x, \\\\\frac{d}{dx}(x\ln x)= \ln x+1=\boxed{1+\ln x}[/tex]

The derivative is:

[tex] \bold{f(x) \: = \: x \: \times \: (In(x))}[/tex]

[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x \: \times \: In(x))}[/tex]

[tex] \bold{f'(x) \: = \: \frac{d}{dx} (x) \: \times \: In(x) \: + \: x \: \times \: \frac{d}{dx} (In(x))}[/tex]

[tex] \bold{f'(x) \: = \: 1In(x) \: + \: x \: \times \frac{1}{x} }[/tex]

[tex] \bold{f'(x) \: = \: In(x) \: + \: x \: \times \: \frac{1}{x} }[/tex]

[tex] \boxed{ \bold{f'(x) \: = \: In(x) \: + \: 1}}[/tex]

MissSpanish

How many million bacteria were in the dish at 9 a.mt

Answers

Answer:it depends what was on it but i would say about 500

Step-by-step explanation:

Which data set does the line plot represent? *

(IMAGE BELOW)

A) 0, 2, 2, 3, 3, 4, 6, 9, 9, 9, 10, 10

B) 0, 2, 3, 3, 3, 3, 4, 9, 9, 10, 10 , 10

C) 0, 2, 3, 3, 3, 4, 6, 9, 9, 10, 10, 10

D) 0, 2, 3, 3, 4, 4, 5, 6, 9, 9, 10, 10

Answers

C ) 0, 2, 3, 3, 3, 4, 6, 9, 9, 10, 10, 10

list the following integers in descending order: -14, 0, -8, 3, -5, -3, 7
How did you determine the greatest value; and, how did you determine the least value?

Answers

Answer:

7, 3, 0, -3, -5, -8, -14

Step-by-step explanation:

I know 7 is the greatest value you add the most because to get to 7 from 0.

I know -14 is the least value because I subtracted the most to get to -14 from 0.

0,7,3,-3,-5,-14 this is what I think the answer would be

1. y is inversely proportional to x. Given that x = 5 when y = 3.

a) show y=15/x
b) find y when x=45.​

Answers

Answer:

a)

Step-by-step explanation:

Y=k/x........(1)

Put y and x in (1) to get:

3=k/5

K=15

Now put k=15 in (1):

Y=15/x

b)

Y=k/x as x=45

Y=15/45

Y=1/3

Which of the following is an example of dramatic irony in this scene?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Bottom tries to take over the play, but can’t get his cue right as Pyramus.

(Choice B)
B
Puck plays a trick on Bottom but ends up scaring the other actors.

(Choice C)
C
The other actors think Bottom is smarter than he actually is.

(Choice D)
D
Bottom doesn’t realize that Puck has given him an as’s head.
How does this dramatic irony impact the reader?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
It helps increase the reader’s sympathy for the other actors.

(Choice B)
B
It shows that Puck is a fan of theatrical performances.

(Choice C)
C
It explains the moral of the story, which is that bragging is wrong.

(Choice D)
D
It adds humor to Bottom’s next lines, after the others run away.

Answers

Choice a is correct

Is -1 1/6 rational? HURRY

Answers

Answer:

yes

Step-by-step explanation:

since it can be expressed as a fraction, it is rational

8x-2y+5z=-5
5x+2y-3z=7

Answers

Answer:

167

812

Step-by-step explanation:

I think it's correct and helping you get a great day:)

I neeed helppp please due today

Answers

Step-by-step explanation:

y=x+6.......(1)

y=-3X-6....(2)

from eq (1), we get,

x=y-6....(3)

sub eq (3) in eq (2), we get

y= -3(y-6)-6

y= -3y+18-6

y+3y-12=0

4y=12

y=3

sub value of y in eq (3)

x=3-6

x=-3

Answer: (3, 3)

Step-by-step explanation:

There are three general ways of solving a system of equations:

EliminationSubstitutionGraphing

When solving systems of equations with graphing, look for points that overlap with each other or cross, and that will be the solution for the system. There might be one, two, or more than two solutions.

Please refer to the attachment below for the graph of the two equations.

Red line: y = x + 6Blue line: y = -3x - 6

Hope this helps!! :)

Please let me know if you have any questions

help asap please, forgot how to do math :)

Answers

Answer:

x = 8

Step-by-step explanation:

A common pythagorean triplet is 7, 8, 9

Answer:

11.4

Step-by-step explanation:

Pythagorean theorem

[tex]7^{2}[/tex] + [tex]9^{2}[/tex] = [tex]x^{2}[/tex]

49 + 81 = [tex]x^{2}[/tex]

130 = [tex]x^{2}[/tex]

11.4 = x

Find the 14th term of the geometric sequence 2, 4, 8, ...2,4,8,...

Answers

Answer:

14th term is 16,384

Step-by-step explanation:

I. When [tex]a_{n} = a_{1}(r^{n-1} )[/tex]

If n = 14, a = 2 and r = 2

         [tex]a_{14} = 2(2^{14-1} )[/tex]

               = 2([tex]2^{13}[/tex])

         [tex]a_{14}[/tex]      = 16,384

What is the equation of the line graphed below?
5
(2, 1)
O A. y=-2x
B. y -
C. y = 2x
o D. y = 1/2 x

Answers

Answer:

C. Y=2x

Step-by-step explanation:

I hope this help you


Write 8/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

Answers

Answer:

0.72 repeat

Step-by-step explanation:

              __

8 ÷ 11 =0.72

             

Hope my answer helped u :)

Jack paid 13.75 euros to buy 3 slices of pizza and 4 hot dogs. Sarah paid 9.75 euros to buy 2 slices of pizza and 3 hot dogs. What was the price of a slice of pizza?

Answers

(A) 13.75=3p+4h
(B) 9.75=2p+3h

(Ax3) 41.25=9p+12h
(Bx4) 39=8p+12h

(A-B)
2.25=p

So one slice is £2.25

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.

Divide. Write your answer as a fraction in simplest form.

−10 2/7÷(−4 4/11)= HELP PLS

Answers

Answer:

[tex] = \frac{33}{14} [/tex]

Step-by-step explanation:

[tex] - 10 \frac{2}{7} + ( - 4 \frac{4}{11} )[/tex]

➡️ [tex] - \frac{72}{7} \div - ( \frac{48}{11} )[/tex]

➡️ [tex] \frac{72}{7} \times \frac{11}{48} [/tex]

➡️ [tex] \frac{3}{7} \times \frac{11}{2} [/tex]

➡️ [tex] \frac{33}{14} [/tex] ✅

Patrick has a bag of sugar that contains 5 kg. He uses 3 kg of sugar to make a cake. How 65
much sugar does Patrick have left?

Answers

Answer:

2 kg

Step-by-step explanation:

5 - 3 = 2

Hey there!

First, read the the problem again and look for any clues. "Have left" is a phrase that would be used for subtraction. So, 5 kg - 3kg = 2 kg.

Patrick has 2 kilograms of sugar left.

Hope this helps!

Have a great day!

Lisa uses 2 pieces of copper wire, each 9 feet long, for
each robot she builds. If she started with a 500-yard roll
of copper wire, which of the following represents the
number of yards of wire left on the roll after Lisa built r
robots? (3 feet = 1 yard)

Answers

Answer:

500 - 6r = t

Step-by-step explanation:

500 represents the amount of copper wire Lisa started with.

-6r represents how much copper wire (in yards) is used on the robot (9*2 / 3 = 6).

t represents the total wire left after Lisa builds r robots.

Simplify this expression:

4(1 – 3x) + 7x – 8

Answers

Step-by-step explanation:

4(1-3x)+7x-8

4-12x+7x-8

-12x+7x+4-8

-5x-4

7. Which of the following statements is not
true?
a. The square root of 112 is between 10 & 11.
b. The square root of 180 is between 13 & 14.
The square root of 12 is between 4 & 5.
d. The square root of 5 is between 2 & 3.

Answers

Answer:

c

Step-by-step explanation:

it is because in (a) the square root of 112. is 10.58 which is in between 10 and 11

(B) the square root of 180 is 13.42 which is between 13&14

(c) the square root of 12 is 3.46 which is not between 4&5

Answer:

C the square root  of 12 is between 4&5.

Step-by-step explanation:

write the statement factor theorem​

Answers

Answer:

According to factor theorem, if f(x) is a polynomial of degree n ≥ 1 and 'a' is any real number, then, (x-a) is a factor of f(x), if f(a)=0. ... Also, we can say, if (x-a) is a factor of polynomial f(x), then f(a) = 0. This proves the converse of the theorem.

26-4x=9x
Solve the equation

Answers

Answer:

x = 2

Step-by-step explanation:

26-4x=9x

Add 4x to each side

26-4x+4x=9x+4x

26 = 13x

Divide each side by 13

26/13 = 13x/13

2 = x

Answer:

-26/5

Step-by-step explanation:

[tex]26 - 4x = 9x \\ 4x = 9x - 26 \\ - 5x = - 26 \\ \frac{ - 5x}{5} = \frac{26}{5} [/tex]

What is the square root of 1 to the second power

Answers

It is indeed 1 lol. Funny

Answer:

1

Step-by-step explanation:

The second power and square root cancel each other (second power means squared by the way)

The factorization of x² + x + xy + y + zx + z is​

Answers

Answer:

[tex] {x}^{2} + x + xy + y + zx + z \\ = x(x + 1 + y + y + z) + z \\ = x(x + 2y + z + 1) + z[/tex]

The expression 2-3i/4+2i
is equivalent to

Answers

Answer:

[tex] \frac{2 - 3i}{4 + 2i} = \frac{1 - 8i}{10} [/tex]

Step-by-step explanation:

To simplify an expression like this, we multiply top and ottom of the fraction (denominator and numerator) by the complex conjugate of the bottom (numerator). For a complex expression (a+bi), the complex conjugate is (a−bi). When we do the calculation, it will become clear why this works so well.

Note that (a−bi)/(a−bi) is just the same as 1, so when we do this multiplication the result is the same number we started with.

[tex] \frac{2 - 3i}{4 + 2i} = \frac{2 - 3i}{4 + 2i} \times \frac{4 - 2i}{4 - 2i } \\ = \frac{8 - 12i - 4i + 6 {i}^{2} }{16 + 8i - 8i - 4 {i}^{2} } \\ = \frac{8 - 16i + 6 {i}^{2} }{16 - 4 {i}^{2} } [/tex]

But

[tex] i = \sqrt{ - 1} \: so \: {i}^{2} = - 1 [/tex]

Using this and collecting like terms, we have:

[tex]\frac{8 - 16i + (6 \times - 1) }{16 - 4 ( - 1) } = \frac{2 - 16i}{20} = \frac{1 - 8i}{10} [/tex]

Identify next three numbers in this sequence: 3, 12, 6, 24, 18, …
options :
27, 13.5, 22.5
72, 36, 144
72, 66, 264
27, 21, 30

Answers

72, 36, 144

its skip a number times 2 times two
then the number you skipped, times two to get the one after the next one then times 3 then so on.

simplify the expression
{x1/15}to the power of 5

Answers

simplify the expression below

(x 1/15) 5

Using the law of indices we multiply the power outside the parenthesis with the power inside the parenthesis.

Therefore,

1/15 x 5 = 5/15 = 1/3

After multiplying the power, we reduce the fraction to it lowest term. By doing so we get the fraction power of 1/3.

our final expression will be like

(xA 1/15) A 5 multiply the power

(xA 5/15) reduce the fraction power to it lowest term

(1/x3)

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