The population of a city is 490,000 and is increasing at a rate of 2.75% each year. Approximately when

will the population reach 980,000?

The population will reach 980,000 in years.

Answers

Answer 1

Answer:

The population will reach 980,000 in 26 years approximately.

Step-by-step explanation:

Initial Population of city = 490000

Rate of increase in population = 2.75%

We are supposed to find Approximately when  will the population reach 980,000

Formula : [tex]N(t)=N_0(1+r)^t[/tex]

N(t)= population after t years

[tex]N_0=[/tex] Initial population

t - time

r = rate of interest in decimals

So,[tex]980000=490000(1+\frac{2.75}{100})^t[/tex]

t=25.55

So, the population will reach 980,000 in 26 years approximately.


Related Questions

what are the 3 consecutive integers with a sum of 48

Answers

Answer:

15 16 and 17.

Step-by-step explanation:

Hope this helps.

Answer:

15, 16, and 17

Step-by-step explanation:

Scientists want to estimate the mean weight of mice after they have been fed a

special diet. From previous studies, it is known that the weight is normally

distributed with standard deviation 4 grams. How many mice must be weighed so

that a 95% confidence interval will have margin of error of 0.4 grams?

Write only an integer as your answer.

Answers

Answer:

n = 484

Step-by-step explanation:

If Confidence Interval  CI = 95 %   then α = 5%  and α/2 = 2,5 %

α/2 = 0,0125

MOE for normal distribution is:

MOE = z * σ/√n

For α/2 = 0,0125    ⇒ z(score) = -2,2

MOE = |-2,2| * 4/√n

0,4*√n = 8,8

√n = 8,8 / 0,4

√n = 22

n = 484

Use integers to represent the values in the statement. The highest elevation in a country is Mt. Snowy with an altitude of 17,311 feet. The lowest elevation in the country is Green Valley with an altitude of 237 feet below sea level.

Answers

Answer:

A)+17311 represent the value in the statement.

B)-237 represent the value in the statement.

Step-by-step explanation:

A) The highest elevation in a country is Mt. Snowy with an altitude of 17,311 feet.

Elevation is in the positive direction

So, the positive integer will represent the given situation

So, The highest elevation in a country is Mt. Snowy with an altitude of +17311

Thus +17311 represent the value in the statement.

B)The lowest elevation in the country is Green Valley with an altitude of 237 feet below sea level.

Below the sea level means negative direction

So, the negative integer will represent the given situation

So, The lowest elevation in the country is Green Valley with an altitude of - 237 feet below sea level.

Thus -237  represent the value in the statement.

Can someone help me plz

Answers

Answer:

1. Vertex-M sides- LM MN

2. Vertex-D sides- ED CD

3. Vertex-R sides- SR RQ

4. Vertex-T sides- ST TU

5. angle 3 angle D angle CDE

6. angle 4 angle F angle GFE

7. angle 1 angle F angle GFE

8. angle 3 angle I angle HIJ

please help me fill in da blanks to
answer dis annoyin question

Answers

Answer:

Step-by-step explanation:

b .  v vvhc . fhd

Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric paintings and drawings on walls and ceilings of a cave in Lascaux, France. Use the information in Example 3 of Section 3.1 to determine the appropriate age of a piece of burned wood, if it was found that 88% of the C-14 found in living trees of the same type had decayed. (Round your answer to the nearest hundred years.) years

Answers

Answer:

The age of the wood is [tex] t =  17527.5 \  years [/tex]

Step-by-step explanation:

   From the question we are told that 88% of  of the C-14 found in living trees of the same type had decayed , this means that the proportion of C-14 that is remaining is mathematically evaluated as

    [tex]  1 - 0.88 = 0.12[/tex]

Hence

[tex] N = 0.12N_o[/tex]

Here  N represents the remaining C-14 while [tex]N_o[/tex] is the original  amount of  C-14

Generally the half life of C-14 is  [tex]h =  5730 \  years[/tex]

Generally from the formula of radioactive decay

       [tex]N  =  N_o  *  2^{-\frac{t}{h} }[/tex]

=>    [tex]0.12N_o =  N_o  *  2^{-\frac{t}{5730} }[/tex]

=>    [tex]0.12  =    2^{-\frac{t}{5730} }[/tex]

taking the natural log of both sides

=>  [tex] ln [0.12]  =   ln[ 2^{-\frac{t}{5730} }][/tex]

=>  [tex] ln [0.12]  =  -\frac{t}{5730}ln(2) [/tex]

=>   [tex] t =  17527.5 \  years [/tex]

The appropriate age of burned wood will be "17527.5 years".

Radioactive decay

According to the question,

The proportion of C-14 = 1 - 0.88

                                      = 0.12

then,

N = 0.12 N₀

Now,

The half-life of C-14 will be:

h = 5730 years

By using Radioactive decay formula, we get

→      N = N₀ × [tex](2)^{-\frac{t}{h} }[/tex]

By substituting the values,

0.12N₀ = N₀ × [tex](2)^{-\frac{t}{5730} }[/tex]

   0.12 = [tex]2^{-\frac{t}{5730} }[/tex]

By taking "log" both sides,

ln[0.12] = ln[[tex]2^{-\frac{t}{5730} }[/tex]]

ln[0.12] = -[tex]\frac{t}{5730 \ ln(2)}[/tex]

hence,

The age will be:

         t = 17527.5 years

Thus the above response is correct.

Find out more information about radioactive decay here:

https://brainly.com/question/1236735

HELPPPP PLS ASAPPPPP EASY

Answers

Answer:

on what

Step-by-step explanation:

??????

Answer:

What do you need help with?

Step-by-step explanation:

Upload a picture

If the growth rate is 75%, which of the
following is the correct growth factor

a. 1.75

b. 75

C. 1.075

d. 1.0075

Answers

Answer:

A) 1.75

Step-by-step explanation:

75% = .75

Growth Factor = 1 + Growth Rate (decimal)

Growth Factor = 1 + .75

Growth Factor = 1.75

I hope this helps!

-TheBusinessMan

Katie ran 4 miles. She ran at a rate that was 1.1 minutes per mile slower than Jasmine. For how many minutes did Katie run? Explain how you determined your answer.

Answers

Answer:

it is 7.1

Step-by-step explanation:

how i got my answer is because jasmine ran 8.2 minute per mile

and Katie was 1.1 slower than jasmine so we will have to subtract  like this

8.2

- 1.1

  7.1 so katie ran 7.1 minutes per mile

If Katie ran at a rate that was 1.1 minutes per mile slower than Jasmine's.She takes 29.2 minutes to run.

What is the rate of change?

It is defined as the change in values of a dependent variable with respect to the independent variables. the rate of change of distance with respect to time denotes the speed i.e. m/sec.

It is given that, Katie ran 4 miles. She ran at a rate that was 1.1 minutes per mile slower than Jasmine.

Time is taken by Katie for the given rate,

T = 5 miles × 8.4 mins / mile

T = 42 minute

The rate for Jasmine,

r = 8.4 - 1.1

r=7.3

The time for which Katie run,

t = 4 × 7.3

t = 29.2 minute

Thus, if Katie ran at a rate that was 1.1 minutes per mile slower than Jasmine's. She takes 29.2 minutes to run.

The question is incomplete.

The complete question is"Katie ran 4 miles at a rate of 1.1 miles slower than jasmine how many minutes did Katie run if jasmine ran 5 miles at 8.4 minutes per mile"

Learn more about the rate of change here:

brainly.com/question/12786410

#SPJ2

Rectangles P, Q, R, and S are scaled copies of one another. For each pair, decide if the scale factor from one to the other is greater than 1, equal to 1, or less than 1.

Answers

The image showing the complete question is attached.

Answer:

1) Scale factor = 2

2) Scale factor = 4

3) Scale factor = ½

4) Scale factor = 2

5) Scale factor = 1

6) Scale factor = ¼

7) Scale factor = 1

Step-by-step explanation:

Scale factor is a number by which the dimensions of an object are multiplied in order to create an enlarged or reduced object.

Now, from the image attached;

1) From P to Q, we see that the length of Q seems to be double that of P. Similarly, the width of Q seems to be double that of P. Thus, each dimension of P is said to be multiplied by 2 to achieve the enlarged dimensions of Q.

Thus, scale factor = 2

2) From P to R, we see that the length of R seems to be 4 times that of P. Similarly, the width of R seems to be 4 times that of P. Thus, each dimension of P is said to be multiplied by 4 to achieve the enlarged dimensions of R.

Thus, scale factor = 4

3) From Q to S, we see that the length of S seems to be half of that of Q. Similarly, the width of S seems to be half of Q. Thus, each dimension of Q is said to be multiplied by ½ to achieve the reduced dimensions of S.

Thus, scale factor = ½

4) From Q to R, we see that the length of R seems to be double that of Q. Similarly, the width of R seems to be double that of Q. Thus, each dimension of Q is said to be multiplied by 2 to achieve the enlarged dimensions of R.

Thus, scale factor = 2

5) From S to P, we can see that the dimensions of both rectangles remain the same. Thus, S was multiplied by a factor of 1 to get P. Scale factor = 1

6) From R to P, we see that the length of P seems to be a quarter that of R. Similarly, the width of P seems to be quarter of R. Thus, each dimension of R is said to be multiplied by ¼ to achieve the reduced dimensions of P.

Thus, scale factor = ¼

7) From P to S, we can see that the dimensions of both rectangles remain the same. Thus, P was multiplied by a factor of 1 to get S. Scale factor = 1

Jason delivers newspapers on Saturdays and Sundays only. Each newspaper weighs about 1 pound 5 ounces. If he delivers 15 newspapers each day, how much do the two days' worth of newspapers weigh in pounds and ounces?

Answers

Answer:

39pounds 6oz

Step-by-step explanation:

15x2=30

1x30=30pounds

5x30=150oz

30p+150oz=39.37500

37500p=6oz

39pounds and 6 oz

Edpuzzle pls helppp​

Answers

The answer is make a table

dhjsksnebrnxndksksnsns

Answers

Answer:

yeah fr

Step-by-step explanation:

dodikdkdmsmnsjsksjhshsgtatahahjananabnsjajjzkskaooaia

Equivalent Expressions

Warm-Up

Active

Evaluating an Expression

Complete the statements.

Evaluate (15 - 4x) + 5 when x = 3.

Substitute the given value for the

Evaluate within

parentheses.

to simplify.

Use the

inside the

Evaluate exponents.

First, complete the

parentheses.

Next, complete the

parentheses.

Last, complete the addition.

inside the

Multiply and divide

from left to right.

The value is

Add and subtract

from left to right.

Answers

Answer:

Complete the statements.

Substitute the given value for the

✔ variable

.

Use the

✔ order of operations

to simplify.

First, complete the  

✔ multiplication

inside the parentheses.

Next, complete the

✔ subtraction

inside the parentheses.

Last, complete the addition.

The value is

✔ 8

.

Step-by-step explanation:

Plz give me brainlest

Answer:

Variable, order of operations, multiplication, subtraction, 8.

Step-by-step explanation:

Got it right Edge2021

Determine the quotient of 2 over 5 divided by 3 over 4

Answers

Answer:

8/15

Step-by-step explanation:

I need help ASAP because this has to be turned in tomorrow

Answers

Answer:

You should look for this assignment quizlet. quizlet has pretty much every assignment!

Step-by-step explanation:

Go online, go to the search bar, type quizlet.com, look for assignment. boom. answers.

During the 2011-12 NBA season, LeBron James had an average of 30.3 points per game. The mean and standard deviation for the league were 7.65 points per game and 6.64 points per game, respectively. That same season the WNBA was led by Diana Taurasi who averaged 21.6 points per game. The mean and standard deviation for the entire WNBA that year were 8.13 points per game and 4.77 points per game, respectively. Who had the more remarkable performance compared to the rest of their league

Answers

Answer:

LeBron James had the more remarkable season

Step-by-step explanation:

Given that:

LeBron James:

Average point per Game = 30.3

Mean of the league (m) = 7.65

Standard deviation (s) = 6.64

WNBA:

Taurasi:

Average point = 21.6

Mean = 8.13

Standard deviation =4.77

Taking the Zscore for each:

LeBron :

Zscore = (x - m) / s

Zscore = (30.3 - 7.65) / 6.64

Zscore = 22.65 / 6.64 = 3.411

P(z < 3.411) = 0.99968

Taurasi :

Zscore = (x - m) / s

Zscore = (21.6 - 8.13) / 4.77

Zscore = 13.47 / 4.77

Zscore = 2.82

P( Z < 2.82) = 0.9976

LeBron's average has more standard deviations above the mean than Taurasi

Which of the following best describes the solution to the equation below?
3(5x+9)=4(6x+10)

A. exactly one real solution,
B. no real solutions
C. exactly one real solution,
D. infinite real solutions

Answers

Answer:

can someone answe my question

Step-by-step explanation:

Answer: I need helppp

Step-by-step explanation:

Consider the function below. Find f(x) = 7

f(x) = 4x - 9

Answers

Answer:

x=4

Step-by-step explanation:

it tel you that f(x) = 7 so replace "f(x)" for 7 in the equation. You then get 7 = 4x - 9 so now you solve for x. You have to isolate x so you add 9 to the other side since you do the opposite of -9. Once you add 9 and 7, then divide the answer by 4. You should get 4 = x.

Work:

f(x) = 4x - 9

7 = 4x - 9

7 + 9 = 4x

16 = 4x

16 ÷ 4 = x

4 = x

Given g(x) = -3x + 1, find g(2).

Answers

Answer:

- 5

Step-by-step explanation:

Step 1:

g ( x ) = - 3x + 1      Function

Step 2:

g ( x ) = - 3 ( 2 ) + 1       Input x

Step 3:

g ( x ) = - 6 + 1      Multiply

Answer:

g ( x ) = - 5      Add

Hope This Helps :)

Geometric Sequence♡

5, -2, 4/5

the common ratio was 2/5

find the 10th term​

Answers

If this helped please mark brainliest:)

2.) Determine the number of items Saydee produces
per hour, if she works 40 hours a week and produces
5,237 items.

Answers

130.925 per hour or 131 whole items per hour if rounded and corrected

Can any one help me?

Answers

8x + 5 + 4x - 17 = 180

12x - 12 = 180

12x = 192

x = 16

The value of x is 16.
16
Explanation idkkkkk1

How many pounds are in 80 kilograms?

Answers

Answer:

176.37 pounds are in 80 kilograms

Step-by-step explanation:

The kilogram, or kilogramme, is the base unit of weight in the Metric system. It is the approximate weight of a cube of water 10 centimeters on a side.

A pound is a unit of weight commonly used in the United States and the British commonwealths. A pound is defined as exactly 0.45359237 kilograms.

6. Leo walks his dog
7
8
mile. He walks his dog 3 times a day. Which of the following shows how repeated addition can be used to find how far Leo walks his dog every day?

Answers

Answer:

I haven't seen this question before, but the correct way to write it is 78+78+78=234

A particular fruit's weights are normally distributed, with a mean of 720 grams and a standard deviation of 38 grams. The heaviest 19% of fruits weigh more than how many grams? Give your answer to the nearest gram.

Answers

Answer: The heaviest 19% of fruits weigh more than 753grams.

Step-by-step explanation:

Let X = fruit's weights that are normally distributed.

Given: [tex]\mu=720,\ \ \ \sigma=38[/tex]

To find : x such that P(X>x)=19%

i.e. P(X<x) = 81%  [100%-19%=81%]

i.e. P(X<x) = 0.81

[tex]P(\dfrac{X-\mu}{\sigma}<\dfrac{x-720}{38})=0.81[/tex]

Since, [tex]Z=\dfrac{X-\mu}{\sigma}[/tex] and from z-table the z value for p-value of 0.81 (one -tailed) = 0.8779

[tex]\dfrac{x-720}{38}=0.8779\\\\\Rightarrow\ x-720 =38\times0.8779\\\\\Rightarrow\ x-720 =33.36\\\\\Rightarrow\ x = 33.36+720=753.36\approx753[/tex]

Hence, the heaviest 19% of fruits weigh more than 753grams.

what is 2x + 5x - 11 = -46​

Answers

Answer:   x= -5   hope this helps

Step-by-step explanation:

Are Figures A and B congruent? Explain your reasoning.
Figure A
Figure B
HELP MA FRIENDS

Answers

Answer:

no

Step-by-step explanation:

because figure a takes up about 4 squares while figure b takes up about 8 squares

I’m failing and I don’t understand what to do.

Answers

start at point B till you get it right

C: Determine the measure of the obtuse angle formed at the intersection of AV and HI​

Answers

Answer:

146°70°104°

Step-by-step explanation:

GivenCS║BMTo findA. m∠MIHB. m∠AVMC. Obtuse angle at the intersection of AV and HISolution

A...................................

∠MIH and ∠IHS are same side interior angles and sum up to 180° as per property, therefore

m∠MIH = 180° - 34° = 146°

B...................................

∠AVM and ∠VAS are same side interior angles

and ∠VAS and ∠LAH are vertical angles, which are equal as per property of vertical angles, so:

m∠AVM = 180° - m∠VAS = 180° - 110° = 70°

C...................................

Obtuse angle at the intersection of AV and HI, if name the intersection point O:

∠AOI = ∠HOV∠AOI = 180° - ∠AOH = 180° - (180° - 34° - 70°) = 104°

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