The population of a city is 51,000 and is decreasing at a rate of 1.75% per year. Use an exponential function to find the expected population in 5 years. Round to the nearest whole number.

Answers

Answer 1

Answer:

46,691

Step-by-step explanation:

Given that:

Initial population, P = 51000

Decreasing rate = 1.75% = 0.0175

Time, t = 5 years

Using the relation :

A (t) = Po * ( 1 - r)^t

A(t) population after t years

Po = Initial population figure

r = rate of decrease

A(t) = 51000 * (1 - 0.0175)^5

A(t) = 51000 * (0.9825)^5

A(t) = 51000 * 0.91550937355400390625

A(t) = 46690.9780

Hence, population after 5 years will be : 46,691


Related Questions

B. Identify the kind of algebraic expression and determine the degree, variables
and constant
Constant
Variables
Degree
Algebraic Expression
Type/kind
1. 7x + 4x3 - 17
2. 3abc2 + a2bc2-abc + 2
3. x + 2x2 - 6x3 + 9x4 +1
4. 3xyz2 + 12
5. 14
can u help me I'm from Philippines​

Answers

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

There are no roots, fractional powers, or denominators containing variables, so each of these expressions is the sum of multiples of products of variables to integer powers. (One is a constant.) That makes each expression a polynomial. Some polynomials can be further classified by their degree.

The degree is the highest sum of powers of the variables in the terms. For example, the term a^2·b·c^2 has variables with powers 2, 1, and 2. The sum of those powers is 2+1+2 = 5, so this is a term of degree 5.

A constant is a term with no variables.

__

It is customary in algebra problems to use variables that are a single lower-case letter. Sometimes, a variable may be represented by a letter in uppercase, or in a special font or language (usually Greek). Sometimes, it may be a word or phrase. Here, we assume each variable is one letter, so xyz is the product of three variables.

Perhaps the table below answers the questions you are asking about these expressions.

What is the mean of the data set?

82, 105, 247, 119, 94, 202

Answers

i got the totally of 141.5

just add them all up to get 849

and divide them by how many numbers there are

which is 6

Brainliest brainliest brainliest

Answers

first is 27
second one is 9

Answer:

27 and 9

Step-by-step explanation:

27 divided by 1 = 27

27 divided by 3 = 9

:)

Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.

Answers

Answer:

360

Step-by-step explanation:

hope this helps.

A cook uses 4 ounces of flour to make
12 cup cakes. How much flour would
he use to make 36 cup cakes?​

Answers

Answer:

12 ounces flour

Step-by-step explanation:

4 ounces 12 cup cakes

8 ounces 24 cup cakes

12 ounces 36 cup cakes

A student claims that the equation y = 7 is not a linear equation because it does not have the form y = mx + b. Do you agree or disagree? Explain.

Answers

Answer:

Yes i agree

Step-by-step explanation: The equation is there for a reason and if an answer does not fir the equation it can be linear so therefore the equation y=7 is not linear.

How would 2X + Y = 13 be written in slope-intercept form?

Answers

Answer:

[tex]y=-2x+13[/tex]

Step-by-step explanation:

For reference, slope-intercept form is:

[tex]y=mx+b[/tex]

[tex](m=slope)[/tex]

[tex](b=y-intercept)[/tex]

For the equation [tex]2x+y=13[/tex] to be written in slope-intercept form, all we must do is subtract [tex]2x[/tex] from both sides of the equation:

[tex]2x+y=13[/tex]

[tex]y=-2x+13[/tex]

Can someone really help me please!

Answers

Answer:  

Step-by-step explanation:  You can order without knowing the areas because of the size

Answer:

From Left to Right:

Large, Medium, Small

Explanation:

Assuming all the numbers are the same (chances are that they are seeing as they use the same variable ((the Greek lowercase letter known as Psi - Ψ)), then we should determine the area based on formulas.For the leftmost shape, you have to use the length * width formula TWICE and then subtract the missing area value to find the remaining area (which is--even after subtracting, the greatest than out of all the other shapes).For the middle shape, the formula you use is length * width-- which is less than that of the leftmost shape, but more than the rightmost shape.For the rightmost shape, the formula you use is (length * width)/2--which is half of the middle shape and less than the largest shape.

7(n+4)= 21 what’s does n equal

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

7(n+4)= 21  equation/Question

step 2

7(n+4)= 21  simplify

7n+28=21

step 3

7n+28=21  subtract

7n=-7

step 4

[tex]\frac{7n}{7} =\frac{-7}{7}[/tex]Divide

answer

n=-1

Yo i just copped these for my bird. How they look?

no bully pls ;c

Answers

Answer:

they look good lol

Step-by-step explanation:

to stay healthy we should drink 6 1/2 glasses of water a day. if we follow guidelines how much water would we drink in a full week

Answers

Answer:

Step-by-step explanation:

Saying that each glass is 8 ounces if you drink 6.5 glasses a day your drinking 52 ounces a day. Seven days are in a week 52 ounces times 7 days gives you 364 ounces a week 364 ounces divided by 8 ounces per glass gives you 45.5 glasses in a full week

Someone i need help the question is 50 points.


Just answer it no explanation.

Answers

Answer:

okay buddyn

.............

What’s the sum of -3a+2 and 5a-3

Answers

Answer:

2a-1

Step-by-step explanation:

Answer:

2a-1

Step-by-step explanation:

you take the -3a and add the 5a, and that gives you 2a. 2-3 is -1.

You are a big baseball fan. You have a goal of attending a baseball game in every major league stadium in the country. Every time you go to a different stadium, you buy a baseball hat. You keep your hats in a display case that holds 25 hats. You have 8 baseball hats so far. What are the possible numbers of hats you can collect without needing another display case?

Answers

Answer:

17

Step-by-step explanation:

What value of m would make the expression below simplified to 6x

Answers

I thinks it’s A because I did this before

plz help............ ​

Answers

4. x.y

Step-by-step explanation:

thats the answer, Its number 4

The answers are 7, 15, 5, and 10

−3x−9y=−12
−3x+7y=4
solve for x

Answers

Answer:

[tex] \huge{ \boxed{ \boxed{ \sf{ \red{ \sf{x = 1}}}}}}[/tex]

Step - by - step explanation :

[tex] \underline{ \underline{ \sf{Solution}}} : [/tex]

USING ELIMINATION METHOD :

[tex] \sf{ - 3x - 9y = - 12}[/tex] ••••••• equation ( i )

[tex] \sf{ - 3x + 7y = 4}[/tex] ••••••• equation ( ii )

Subtracting equation ( ii ) from ( i )

Note that while subtracting equation ( ii ) from ( i ) , sign of each term of equation ( ii ) changes and hence becomes 3x - 7y = -4.

[tex] \sf{ \cancel{ - 3x} - 9y = - 12}[/tex]

[tex] \sf{ \cancel{3x} - 7y = - 4}[/tex]

_____________________

➺ [tex] \sf{ - 16y = - 16}[/tex]

➺ [tex] \sf{ \frac{ - 16y}{ - 16} = \frac{ - 16}{ - 16}} [/tex]

➺ [tex] \sf{y = 1}[/tex]

The value of y is 1. Since , we are asked to find the value of x , substituting the value of y in equation ( i) , we get :

➺ [tex] \sf{ - 3x - 9 \times 1 = - 12}[/tex]

➺ [tex] \sf{ - 3x - 9 = - 12}[/tex]

➺ [tex] \sf{ - 3x = - 12 + 9}[/tex]

➺ [tex] \sf{ - 3x = - 3}[/tex]

➺ [tex] \sf{ \frac{ - 3x}{ - 3} = \frac{ - 3}{ - 3}} [/tex]

➺ [tex] \sf{ x = \boxed{ \bold{ \red{ \sf{1}}}}}[/tex]

Hence , the value of x is 1 .

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☞ [tex] \underline{ \sf{Extra \: Info}} : [/tex]

There are many methods to solve such simultaneous equations. They are :

Graphical method : In this method , we find a few pairs of solutions to each of two given equations. The pairs of solutions of each equation are plotted in a graph and by joining them, two separate straight line lines are obtained. The coordinates of the point of intersection of two straight lines are the solutions to the given equation.

Elimination method : In this method, we add or subtract the given equations to eliminate one of the two variable by making their coefficients equal. Then , a single equation with one variable so obtained is solved to find the value of the variable. The value of the variable is substituted to any one equation to find the value of the eliminated variable.

Substitution method : In this method , a variable is expressed in terms of another variable from one equation and it is substituted in the remaining equations.

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✑ Learn more :

Solve system of equations using elimination method :

https://brainly.com/question/20160304

What is the substitution method ?

https://brainly.com/question/15936865

Hope I helped ! ツ

Have a wonderful day / night ♡

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It took Jude 420 seconds to walk home from school. How many minutes did it take him?

9 minutes
6 minutes
7 minutes
5 minutes

Answers

Answer:

7 minutes

Step-by-step explanation:

420/60 = 7 minutes

Answer:

7

Step-by-step explanation:

420/60 which equals 7 mim

HELP ME PLS ITS SO EASY BUT ME BAD

Answers

Answerit would be the first one

Step-by-step explanation:

Amanda and Ndiba are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodil bulbs. Amanda sold 6 packages of tulip bulbs and 12 bags of daffodil bulbs for a total of $198. Ndiba sold 7 packages of tulip bulbs and 6 bags of daffodil bulbs for a total of $127. Find the cost each of one package of tulips bulbs and one bag of daffodil bulbs.
Please answer with work, need this quick! thanks

Answers

Answer is on the attachment. Brainlist pls.

Step-by-step explanation:

solve (−8x−12)+(9x+4)=

Answers

(-8x-12) + (9x+4)
= -8x+9x-12+4
= X - 8

Hi there, I just want to say happy new year and have a great rest of your day!
Also, can you please mark my answer as the brainliest answer?
Thank you!

Andre drew a scale drawing of his garden. Each inch represents 5 feet. What is the actual perimeter of his garden?

Answers

Answer:

c

Step-by-step explanation:

c

Help me, please! Look at the screenshot below!

Answers

Answer: the answer is B

Step-by-step explanation:

The x axis cannot have the same number. -2 and -2 are the same so you would have to replace one of them with a different number that is not used in the x axis.

please help and show work if you can ​

Answers

Answer:

9) 127 °

10) 67°

11) 100°

12) 118°

Step-by-step explanation:

adjacent angles in parallelograms are supplementary (their sum is 180°)

opposite angles are congruent

anyone know this, its rlly hard​

Answers

Answer:

......................................................................................................

Step-by-step explanation:

Find the mean and median of 0.55, 2 and 50%

Answers

12/25 = 0.48
0.55 = 0.55
50% = 0.5

Mean = (0.48 + 0.55 + 0.5) / 3 = 0.51
Median = 0.5

Answers:
Mean = 0.51
Median = 0.5

Helppppp pleaseeeeee

Answers

Answer:

it is c

Step-by-step explanation:

use your brain

Answer:

C

Step-by-step explanation:

the lowest y coordinate is -1 with a closed point which means its included while the highest point is 4 with an open circle which means 4 is not included

Find the midpoint of the segment with the following endpoints.
(8,1) and (5,7)

Answers

Answer:

(13/2,4)

Step-by-step explanation:

use the midpoint formula

Write 264 as a product of primes. Use index notation when giving your answer.

Answers

Answer:

2^3 times 11 times 3

Step-by-step explanation:

264

/     /

2    132

       /  /

      2  66

          /  /

         2  33

             /  /       11 and 3

-5x+7y=-34
-5x+3y=-6

Answers

Answer:

        x = -3,  y = -7

Step-by-step explanation:

-5x + 7y = -34     ⇒  -5x = -34  - 7y

    -5x + 3y = -6

-34  - 7y + 3y = -6

-34 - 4y = -6          {add 34 to both sides}

  -4y = 28             {divide both sides by (-4)}

     y = - 7

-5x + 3y = -6

-5x + 3(-7) = -6

-5x - 21 = -6        {add 21 to both sides}

-5x = 15            {divide both sides by (-5)}

  x = -3

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