The population of a city in 2000 was 18,500 people. Since then the population has increased 4.8% every year. Determine the correct equation that would represent what the population would be in the year 2028.

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

Consider the year 2000 to be year 0. This would make year 2028 year 8.

Population growth or decay function: [tex]A = Pe^{rt}[/tex]

where A is the final amount, P is the principal amount, r is the rate, and t is time.

[tex]A = 18,500e^{(0.048)(8)}[/tex]

This can be simplified to

[tex]A = 18,500e^{0.384}[/tex]

Hopefully this is what the question is asking!


Related Questions

Bryce plays in 3 football games this month. He drinks 5 bottles of
water during each game. How many bottles of water does Bryce
drink this month?

Answers

he drinks 15 bottles of water this month

Answer:

Its 15 because 3 times 5 = 15.

Step-by-step explanation:

Write an equation of an ellipse in standard form with the center at the origin and with the given (1 point)
characteristics.
vertex at (-3,0) and co-vertex at (0, 2)

Answers

Answer: x^2/9 + y^2/4 = 1

Step-by-step explanation:

Answer: [tex]\frac{x^{2} }{9} +\frac{y^{2} }{4} =1[/tex]

Step-by-step explanation:

Substitute the x-value of the vertex for a, and the y-value of the co-vertex for b in the standard equation of a horizontal ellipse [tex]\frac{x^{2} }{a^{2}} +\frac{y^{2}}{b^{2}} =1[/tex].

[tex]\frac{x^{2} }{a^{2}} +\frac{y^{2}}{b^{2} } =1[/tex]  

[tex]\frac{x^{2} }{-3^{2}} +\frac{y^{2} }{2^{2} } =1[/tex]

[tex]\frac{x^{2} }{9 } +\frac{y^{2} }{4} } =1[/tex]

A right cone has a slant height of 6 and a radius of 4. What is its surface
area?
A. 40 units^2
B. 56 units^2
C. 24 units^2
D. 16 units^2

Answers

The answer is A! Hope you have a nice day <3

The surface area of the cone is 16π square units.

What is the surface area of the cone?

The surface area of the cone is given by;

⇒ Area = πrl + πr²

Here, We have;

A right cone has a slant height of 6 and a radius of 2.

Substitute all the values in the formula

⇒ Area = πrl + πr²

⇒ Area = π x 2 x 6 + π x 2²

⇒ Area = 16π

Hence, The surface area of the cone is 16π square units.

Learn more about the surface area here;

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If I have an 86% overall grade in a class and score 40% on a test, what will my grade come out as?

Answers

Answer:

It really depends on how much percent of your overall grade tests count as. But, usually they count for about 60% of your grade (depending on what grade you are in). You have about 65% at the lowest and a 75% at the highest. But, I'm just going by what my school does, I don't know how your school grades tests.

Step-by-step explanation:

Somebody help me with this?

Answers

Answer:

Zero's

Step-by-step explanation:

Solve for x.
A = (5x+14)°
B = (3x +8)°

Answers

Answer:

x = 15

m∡A = 89°

m∡B = 53°

Step-by-step explanation:

this shape is a kite and opposite angles (where sides of different lengths meet) are congruent

so ∡B = ∡D

109 + 109 + 5x + 14 + 3x + 8 = 360

218 + 8x + 22 = 360

8x = 120

x = 15

m∡A = 5(15) + 14 = 89°

m∡C = 3(15) + 8 = 53°

This is the whole picture can someone help??

Answers

Step-by-step explanation:

I can't see good the picture

A truck weighed 900 lbs. After
unloading 24 and 1/8 lbs. of trash how
much does the truck weigh?

Answers

900-24 = 876 - 1/8 = 875 7/8

Let me know if you have questions

help me on this one more time for 60 points

Answers

Answer:

Your answer is X = 7

Step-by-step explanation:

which shape is not a trapezoid

Answers

Answer:

trapezium

If the shape you're looking at doesn't have at least one set of parallel sides, it's not a trapezoid; it's something called a trapezium instead. Similarly, if the shape has two sets of parallel sides, it's not a trapezoid. It's either a rectangle, a parallelogram shape or a rhombus.

Step-by-step explanation:

HELP PLEASE!
The line y = 2x is drawn on the coordinate plane.
For the part of the line drawn between the origin and (-1, -2), what is the slope?
A. 1
B. 2
С. -2
D. -1

Answers

B. 2


I had this same question about an hour ago and it say the answer was 2.

2) Christmas is on its way, so the price of a box of Thornton's chocolates has been increased
by 15%!! A box of Thornton's Continental now costs £17.25. How much did it cost
originally?

Answers

15% as a decimal is 0.15
Our regular cost of chocolates is 1.0
New cost is 1.0 + 0.15 = 1.15
1.15 x 17.25 = 19.8375
In the states we round to the hundredth for cost, so it would be £19.84

Alternate method: calculate 0.15 of 17.25 and add that to 17.25
0.15 x 17.25 = 2.5875
17.25 + 2.5875 = 19.8375

The model represents the factorization of 2x2+5x+3.


What are the factors of the polynomial?

Answers

Answer:

(2x+3)(x+1)

Step-by-step explanation:

4/3 (3x-12)=2x+8 what is x

Answers

The answer is, X = 12.

hope it helps.

Answer:

x = 12

Step-by-step explanation:

simlify 4/3 * (3x-12)

4x - 16 = 2x + 8

combine like terms, so subtract 2x by 4x

2x - 16= 8

then finish combining like terms, so 16 plus 8

2x = 24

divide 24 by 2

x = 12

HELP MY FRIENDS PLEASE I BEG OF THEE​

Answers

Answer:

The answer has to be 30.

Step-by-step explanation:

Correct me if I am incorrect but I would believe I am correct. Have a good one!

✍(◔◡◔)

Help I don’t understand

Answers

Answer:

for every 4 strikes thrown, there were 1 balls thrown

A hard-boiled egg is removed from a pot of hot water and set on the table to cool. The rate of change of the egg’s temperature T with respect to time t is proportional to the difference between the egg’s temperature in degrees Fahrenheit ( °F) and the room temperature of 75°F. Which of the following is a differential equation that describes this relationship, where k is a constant?

Answers

Answer:

dT/dt = k(T-75)

Step-by-step explanation:

dT/dt = the rate of change of the egg's temperature T with respect to time t

k = constant

(T-75) = difference between the egg's temperature and the room temperature 75 degree

The relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).

From the Newton's law of cooling, the rate of cooling of any object depends on the temperature difference between the object and the surroundings. This is usually expressed in a differential equation.

In this particular instant, the differential equation that shows the relationship between the temperature of the egg and that of the room is dT/dt = k(T-75).

Learn more about Newton's law of cooling:https://brainly.com/question/15574522

Write the equation of the line, in slope intercept form, that goes through the points (6,4) and (-3,-5)

Answers

Answer:

y = x - 2

Step-by-step explanation:

Find the slope using rise over run

(y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-5 - 4) / (-3 - 6)

-9 / -9

= 1

Using y = mx + b, plug in the slope and a point to solve for b:

y = mx + b

4 = 1(6) + b

4 = 6 + b

-2 = b

Plug in the slope and b to y = mx + b

y = 1x - 2

y = x - 2

So, the equation of the line is y = x - 2

actice Temperature Conversion Worksheet

Name: ________________________ Period: ______

6th Grade Comprehensive Science II

Directions: Use the following chart to answer the questions below

C = (F - 32) * (5/9)

F = (9/5) * C + 32

Use the space to show your work:

1. 25°C = _____________°F

2. 97°C = _____________°F

3. 2°C = _____________°F

4. -40°C = _____________°F

5. 25°F = _____________°C

6. 97°F = _____________°C

7. 2°F = _____________°C

8. -40°F = _____________°C

9. 85°C = _____________°F

10. 953°C = _____________°F


pls help im giving 73 points

Answers

1.) 77
2.) 206.6
3.) 35.6
4.) -40
5.) -3.8
6.) 36.1
7.) -16.6
8.) -40
9.) 185
10.) 1747.4

find the ratio of 15minutes and 1hour​

Answers

Answer:

4 : 1

Step-by-step explanation:

1 hour : 15 minutes

However we cannot write like this since they aren't of the same unit, so you can either change the minutes to hour by dividing it with 60 or change the hours to minutes by multiplying it with 60.  

1 hour = 60 minutes

60 : 15

The ratio can be simplified.

12 : 3  ( 60 and 15 are multiples of 5 )

The ratio can again be simplified further.

 4 : 1   ( 12 and 3 are multiples of 2 )

The Richardson family is out to dinner at their favorite restaurant. The bill comes to $28.85 How much money should they leave for the bill and a 20% tip? Please explain step by step

Answers

The answer would be $34.62.

To find the tip you have to do
28.85 x 20% which is 0.2 as a decimal
and you get $5.77. That is the tip you would leave, so you add that to the amount of the bill $28.85 + $5.77 = $34.62

the reason physical state affect the rate of a chemical rection

Answers

Answer:

Usually reactions speed up with increasing temperature. Physical state of reactants. Powders react faster than blocks - greater surface area and since the reaction occurs at the surface we get a faster rate. The presence (and concentration/physical form) of a catalyst (or inhibitor).

Step-by-step explanation:

Mindy is playing a game. She notices that the ratio of red tokens to purple tokens is 2 to 3. She counts 6 red tokens. what can be the number of purple tokens.

Answers

The number of purple tokens she has is 4

Answer:

6

Step-by-step explanation:

double numbers for ecquivelant ratios (i cant spell)

PLATO: Multiplying and Dividing Radical Equations: Mastery Test

Select the correct answer.

Assuming that no denominator equals zero, which expression is equivalent to (n^2-7n+12)/(n-3)(n+4)

Answers

Answer:

D

Step-by-step explanation:

took the test

The expression is equivalent to (n² - 7n + 12) is (n-4)/ (n+4).

The correct option is D.

What is Expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator)

We have,

(n² - 7n + 12) / (n-3)(n+4)

So, Factorizing (n² - 7n + 12)  

= (n² -3n - 4n +12)

= n(n-3)- 4(n-3)

= (n-3)(n-4)

Then, (n² - 7n + 12) / (n-3)(n+4)

= (n-3)(n-4)/ (n-3)(n+4)

= (n-4)/ (n+4)

Learn more about Expression here:

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A slope field produces...

A. the graph of the general solution to the differential equation

B. the graph of the derivatives of the differential equation

Please explain. I am so confused on this.

Answers

It's A. B doesn't really make sense ("derivative of the differential equation" is somewhat nonsensical, "derivative of an equation" is not meaningful).

More to the point: Slope fields are used to visualize solutions to differential equations of the form

y' = f(x, y)

You take some point (x, y) and evaluate y' at the point. This gives the slope of the line tangent to the particular solution to the DE that passes through the point (x, y ).

Sample several points and evaluate y' at those points and you get several different slopes.

Simple example:

y' = x ² - y ² = (x + y ) (x - y )

Let's take the points (1, 1), (-1, 0), and (2, -2), at which we get slopes

y' = f (1, 1) = 0

y' = f (-1, 0) = 1

y' = f (2, -2) = 0

From here, you can get particular solutions that pass through a certain point by interpolating the slopes of the tangents to the solution. I've attached a slope field for the example here at the points listed above. (In the order red, green, black). Each light gray arrow in the background shows the slope of the tangent line.

If you're still unsure how the slope field is generated, I suggest looking up videos on the subject. The process is a bit difficult to describe without a dynamic visual aid.

Use the diagram to find the missing measures.


The measure of angle GHE is
62
°.

The length of GE is
.

Answers

Answer:

62

15

Step-by-step explanation:

sorry i’m a bit late

Answer:62

And 15

Step-by-step explanation:

Yea its good :)

What is the difference of
5
6

5
12
? Use the fraction strip to help.

One whole fraction strip is equal to six one-sixth fraction strips. It is also equal to twelve one-twelfth fraction strips.

A.
0

B.
5
12
C.
7
12
D.
5
6

Answers

The difference of 5/6 - 5/12 is 5/12..

What is a fraction?

A fraction consisting of a quotient and a remainder is a mixed fraction. we can convert the mixed fraction to an improper fraction by first dividing the numerator by the denominator and then taking the quotient as whole number and the remainder as the numerator of the proper fraction keeping the denominator same.

In this question, we need to apply real algebra properties to find the result of a basic operation between two fractions, whose procedure is shown below:

Given

5/6 - 5/12

Now multiply by 2 in fraction 5/6

10/12 - 5/12

5/12

The difference is 5/12.

To learn more on fractions, we kindly invite to check this verified question: brainly.com/question/1301963

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What is the slope formula? O A 3+ O B. 323 O a. kl 24 OD. 4​

Answers

Answer:

B I'm pretty sure.

Step-by-step explanation:

Quizizz 10 pts each help please WITH PIC brainiest guaranteed

Answers

Answer:

2.[tex]-2m^4-6m^2+4m+9[/tex]

3.[tex]-2m^4-6m^2-4m+9[/tex]

Step-by-step explanation:

In general we can write a polynomial in standard form as

[tex]ax^n+bx^n^-^1+cx^n^-^2+...+px+q[/tex]

Given [tex]4m-2m^4-6m^2-4m+9[/tex]

Combine the like terms: 4m and -4m

4m-4m=0

We have 4m-4m=0

So, write the remaining terms

[tex]-2m^4-6m^2+9+0[/tex]

= [tex]-2m^4-6m^2+9[/tex]

This is in decreasing order of powers.

Hence the answer is the standard form is

[tex]-2m^3-6m^2+9[/tex]

But in the given options, you can choose option 2 and option 3 are in standard form.

Because they are in decreasing order of powers.

In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.

-2m^4-6m^2+4m+9

-2m^4-6m^2-4m+9

I hope this helps you.

And please comment if I need to do corrections.

Please let me know if you have any questions.

5. ALGEBRA Refer to the figure in
Exercise 4. If m/1 = 4x + 40, and
m25 120°, what is the value of x?

Answers

Answer:

the value of x equals to 20 thats is solution okay

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