The population of a town is increasing at a constant rate of 4.7% each year. At the beginning of 2010 the population was 42,000. Find the size of the population at the beginning of 2016. Give your answer to 3 sf.

Answers

Answer 1

Answer:

The population at the beginning of 2016 is 55,326.

Step-by-step explanation:

Giving the following information:

Population 2010 (PV)= 42,000

Growth rate (g)= 4.7% = 0.047

Number of years (n)= 6 years

To calculate the population at the beginning of 2016, we need to use the following formula:

FV= PV*(1+g)^n

FV= 42,000*(1.047^6)

FV= 55,326

The population at the beginning of 2016 is 55,326.


Related Questions

Solve the system of equations 2x + 2y = 6 and 2y - x = 12 using any method.

Answers

2y + 2x = 6
2y - x = 12
Subtract
3x = -6, x = -2
2(-2) + 2y = 6
-4 + 2y = 6
2y = 10, y = 5
Final solution: x = -2, y = 5

Answer:

Step-by-step explanation:

2x + 2y = 6

-2x + 4y = 24

6y = 30

y = 5

10 - x = 12

-x = 2

x = -2

(-2, 5)

A toy company decreased the size of its dominoes container by 25%. If the old containers held 136 dominoes, how many dominoes do the new container hold?

Answers

Answer: 102

Step-by-step explanation:

Answer:

The new container holds 102 dominoes.

Step-by-step explanation:

136 x 25% =34

136-34 = 102

pls help. i need to turn this in before midnight

Answers

This is answers for your questions

Is point 25,20 on the line

Answers

Answer:

What Line? it doesnt touch the x or y axis.

Step-by-step explanation:

49/8 as a mixed number

Answers

ummm [tex]6\frac{1}{8}[/tex] aha-

Simplify 3(2y -1) + 2y

Answers

Answer: 8y -3

Step-by-step explanation:

3(2y -1) + 2y

6y -3 + 2y

8y -3

Answer:

8 y - 3

Step-by-step explanation - I got it from google so its right 100%

Is it impossible to answer those without that imagine on the left but can someone try I’ll mark brainliest

Answers

A) angle XTU
B) angle ZTW
C) angle UTZ
D) angle YTX
E) right angle
F) obtuse angle
G) acute angle
H) straight angle
I) YZ and XW
J) 90 degrees
Be careful I am not sure about last two answers

Identify the slope and y-intercept: y = ¼x - ⅓
if you could please help me right not I would really appreciate it.

Answers

Answer:

Slope: ¼, y-intercept: -⅓

Step-by-step explanation:

We know that slope-intercept is y=mx+b. We also know that m is the slope, b is the y intercept, y is y, and x is x. As we can see, the equation is y = ¼x - ⅓. Since it is minus ⅓, not plus ⅓, that means the y-intercept is negative. Now we know that the y-intercept is -⅓. Now, let's identify the slope. The slope is ¼, because it is the number next to x (y=mx+b). Now that we know this, we have our answer! The slope is ¼, and the y-intercept is -⅓! I hope this helps!

The student council is selling Fall festival t-shirts. Long sleeve shirt sell for $12 and short sleeve shirts are $2 less. They sell 606 shirts for a total of $6,778. How many long sleeve shirts were sold?

Answers

Answer:

359 long sleeve shirts were sold

Step-by-step explanation:

Step one:

given data

let long sleeve shirts be x

and short sleeve shirts be y

Long sleeve shirt sell for $12

short sleeve shirts are $2 less= 12-2= $10

They sell 606 shirts

x+y=606--------1

total cost of the shirts =$6,778.

12x+10y=6778-------------2

therefore the systems of equation for the situation si

x+y=606--------1

12x+10y=6778-------------2

from eqn 1, x=606-y

put x=606-y in eqn 2. we have

12(606-y)+10y=6778

7272-12y+10y=6778

solve for y

-2y=6778-7272

-2y=-494

2y=494

divide both sides by 2

y=4944/2

y=247

put y= 247 in eqn 1

x+247=606

x=606-247

x=359

Hence, 359 long sleeve shirts were sold?

999998376474 x 9999991737

Answers

Answer:

9.99997550221

Step-by-step explanation:

GARDENING Jane needs to buy mulch
for the garden with the dimensions
shown in the figure. For how much area
does Jane need to buy mulch? Round to
the nearest tenth.
15.5 yd

Answers

Answer:

I suggest you use Socratic, it solves questions like this.

Step-by-step explanation:

Before a renovation a movie theater had 117 seats after the renovation theater had 173 what is the approximate percentage increase of the number of seats in the theater if necessary round to the nearest 10th in percentage

Answers

Answer:

47.86%

Step-by-step explanation:

Total number of seats in a movie theater Before a renovation = 117

Total number of seats in a movie theater after a renovation = 173

We need to find the percentage increase of the number of seats. It can be calcualted as :

[tex]\%=\dfrac{\text{|final number-initial number|}}{\text{initial number}}\times 100\\\\=\dfrac{173-117}{117}\times 100\\\\=47.86\%[/tex]

So, the increase in percentage is 47.86%.

What is the slope of the line?

Answers

Answer:

The slope of the line is y=1x+1.5

Step-by-step explanation:

so the slope is 1/1 which is 1 only

Answer:

4/5

I hope this helps dkdmdmjsdk

4) Kai has 20 songs on his playlist, and is
adding 2 songs per minute. Write an equation
that represents this situation, where y is the
number of songs on Kai's playlist after x
minutes.

Answers

Answer: 20+2x=y

Step-by-step explanation:

Maine has a cold climate in the winter. Which statement about the probability of temperatures falling below 32F in Maine during the month of January is most likely true? Options: The probability is 100 | The probability is closer to 1 than to 0. The probability cannot be determined before Febuary The probability could be -1.

Answers

Answer:

can't help u..

Step-by-step explanation:

i am so sorry

xbxnxnxn

xnzjznzn

sjziaowoo1i3uo

PLZ MARK ME AS BRAINLIST

The graph of a function is a line that passes through the coordinates (2, 11) and (8, 14).

Which is an equation in terms of x and y for this function?
y = 1/2x + 10
y = 2/3x + 9
y = 3/2x + 8
y = 2x + 7

Answers

Answer:

the first one

Step-by-step explanation:

Can anyone help I’m struggling with this

Answers

If you type that equation into Desmos graphing calc it’ll solve it for you

Answer:

Maybe if you could be a bit clear with what you need help with? are you struggling with plotting the points? are stuck on the equation that was given? and do you understand slope intercept form?

I can help you with the equation since that's not the full equation:

-2y = -x + 10

so you divide the -2 and then also divide it on the other side

-2y = -x + 10

-2         -2

cross out the -2's on the left side but do not cross out the y since you will need that. Then divide the numbers so:

 -1 % -2 is 0.5 but we don't use decimals in our equation so just put

-1/-2x

then do 10 % -2 and you should get -5

so put the equation together:

y = -1/-2x - 5

(Is that all or do you need help with anything else?)

what is a equation for the slope -3/4 and passes through (-8,3)

Answers

Answer:

y=-3/4x+3

Step-by-step explanation:

The -3/4 would be the slope, as you said, and the 3 in -8,3 would be the y intercept!

 Brainliest?

If kate has 179 apples and Chloe steals 69 how many does kate have left

Answers

Answer:

110

Step-by-step explanation:

Answer: and 10. 110. Plus chloe savage

Step-by-step explanation:

Hurry please!

How do you put 14 1/2 into a calculator without the '/' ?

Answers

Answer:

well you do 1 divided by 2 which is 0.5

Step-by-step explanation:

An artist uses a 3-foot piece of wood to carve statues she uses 1/6 foot pieces of wood for each statue how many statues can be made from all the wood

Answers

Answer:

18

Step-by-step explanation:

Dimension of piece of wood = 3 ft

Dimension of piece of wood used for one statue = [tex]\frac{1}{6}[/tex] ft

To find:

Number of statues that can be made from all the wood ?

Solution:

To find the total number of statues that can be carved from the given piece of wood, we need to divide the dimensions of given piece of wood with the piece required to carve one statue.

Formula:

[tex]\dfrac{a}{\frac{b}{c}} = \dfrac{a\times c}{b}[/tex]

Number of statues that can be made:

[tex]\dfrac{3}{\frac{1}{6}}\\\Rightarrow \dfrac{3\times 6}{1}\\\Rightarrow \bold{18}[/tex]

Therefore, 18 number of statues can be made.

this is a trigonometry question . ​

Answers

Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )

12 × cos62° = AB , thus

AB ≈ 5.6 cm ( to 1 dec. place )

solve the inequality
h-(-2)≥10

Answers

Let's solve your inequality step-by-step.

h−(−2)≥10

Step 1: Simplify both sides of the inequality.

h+2≥10

Step 2: Subtract 2 from both sides.

h+2−2≥10−2

h≥8

Answer:

h≥8

(Pls mark brainliest)

The solution to the inequality h  -(-2)  ≥  10  is  h  ≥   8

The given inequality is:

h  -(-2)  ≥  10

Simplify the left hand side

h  +  2  ≥  10

Subtract 2 from both sides of the inequality

h  +  2  -  2  ≥  10  -  2

h    ≥   8

The solution to the inequality h  -(-2)  ≥  10  is  h  ≥   8

Learn more here: https://brainly.com/question/17448505

An expression is shown below: square root of 18 plus square root of 2 Which statement is true about the expression? URGENT


it is rational and equal to 3

it is rational and equal to 4

It is irrational and equal to 3 multiplied by the square root of 2 .

It is irrational and equal to 4 multiplied by the square root of 2 .

Answers

Answer:

It is irrational and equal to 4 multiplied by the square root of 2.

Therefore, option d is true.

Step-by-step explanation:

As the expression is

'square root of 18 plus square root of 2'.

i.e. [tex]\sqrt{18}+\sqrt{2}[/tex]

Lets solve the expression

[tex]\sqrt{18}+\sqrt{2}[/tex]

[tex]=3\sqrt{2}+\sqrt{2}[/tex]         ∵ [tex]\sqrt{18}=3\sqrt{2}[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:3\sqrt{2}+\sqrt{2}=4\sqrt{2}[/tex]

[tex]=4\sqrt{2}[/tex]  

or

[tex]=5.65685\dots[/tex]   (in decimal place)

5.65685 indicates that it is irrational and can not be written in the form p/q

Thus, it is irrational and equal to 4 multiplied by the square root of 2.

Therefore, option d is true.

Answer:

I think it is D

Step-by-step explanation:

Simplify the expression (2a^1/3•3b1/2) (a^1/3•3b^3/4)

Answers

Answer: [tex]\frac{1}{4}[/tex][tex]a^{2}[/tex][tex]b^{4}[/tex]

WILL GIVE BRAINLIEST
Given the system of equations presented here:

4x + y = 4
2x + 6y = 24

Which action creates an equivalent system that will eliminate one variable when they are combined?

Multiply the first equation by −4 to get −16x − 4y = −16.
Multiply the second equation by −4 to get −8x − 24y = −96.
Multiply the first equation by −2 to get −8x − 2y = −8.
Multiply the second equation by −2 to get −4x − 12y = −48.

Answers

Answer:

Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Given:

4x + y = 4 (1)

2x + 6y = 24 (2)

Multiply the second equation by −2 to get −4x − 12y = −48.

4x + y = 4 (1)

−4x − 12y = −48 (3)

Variable x can be eliminated by adding the equations

4x + (-4x) + y + (-12y) = 4 + (-48)

4x - 4x + y - 12y = 4 - 48

0 - 11y = -44

-11y = -44

Divide both sides by -11

y = -44/-11

= 4

y = 4

Answer: Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Find the value of x. Show your work with proper statements and notation. P e MQ.

Answers

Answer:

32+46=6x

96=6x

X=16

After solving the equation, the value obtained for x will be equal to 16°.

What is an equation?

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the information obtained in from the given figure,

The given angles are,

∠ m = 32°

∠ N = 64°

Then, the equation form will be,

32° + 64° = 6x

6x = 96°

x 96/6

x = 16°

To know more about equation:

https://brainly.com/question/29657983

#SPJ2

I need the sum to (x + 3) + (2x-1)

Answers

answer:

3x + 2

YOUR WELCOME MARK BRAINLIEST

Answer:

18

Step-by-step explanation:

Parantheses

Exponents

Multiply

Division

Adding

Subtracting

Convert 11/3 into a mixed number.


3 2/3
4 1/3
3 1/6

Answers

Answer:

3 2/3

Step-by-step explanation:

What's the nicest thing someone has said or done for you? Feel free to comment or leave an answer :)

Answers

Answer: I actually got a good one

My best friend told me that I was the best person ever and that she hoped nothing would ever separate us. She always is there when I need her, and she supported me when I came out! She is the greatest Friend I could ever ask for!

"I was walking home one day last winter, it was super cold out and some lady I've never seen before stopped to pick me up. She was really nice and drove way out of her way to drop me off at my house. She gave me a winter hat and a piece of chicken (she was on her way home from KFC) I said 'thank you' and she told me to pay it forward." I never got her name though :(

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