The population of Greenbow, Alabama in 1995 was 200 people. Since then, the population has grown 2% per year. Model this situation with the proper equation and use that equation to predict the population of Greenbow in 2020.

Answers

Answer 1

Answer:

Equation is;

P = I(1 + r)^n

The population is 328

Step-by-step explanation:

Here we want to model the situation and use the modeled equation to predict population.

This follows an exponential pattern with similarity to the amount paid on a compound interest

Mathematically, we can have the equation as;

P = I(1 + r)^n

Where P is the population we want to calculate

I is the initial population in 1995 = 200 people

r is the rate of increase = 2% = 2/100 = 0.02

n is the difference in the number of years = 2020-1995 = 25

Thus the population would be;

P = 200(1 + 0.02)^25

P = 200(1.02)^25

P = 328.12

which is 328 approximately


Related Questions

please help i don’t know what to do and this will help me pass 7th grade thank you!!!

Answers

Height of table is 18 inches

Height of one block is 2 inches

The height would be 34 inches with 8 blocks ✌️

Answer:

Well each block is 2

Step-by-step explanation:

cause the height of the table is 18 itself it says in the table and one block just adds 2

i hope it's right sorry if it's not

I understand the struggle

Samy's car can hold 20 gallons of
gasoline in its fuel tank. It is 3/4 full. He
can travel 15 miles for every gallon of
gasoline.
Rosa car has 13 gallons of gasoline in
the fuel tank and she can travel 19 miles
for every gallon of gasoline.
If they both start at the same place and
travel at the same constant speed, who
will go farther?
Answer:.
Justification:​

Answers

Answer:

Rosa will go farther.

Step-by-step explanation:

1. Samy's travel distance.

3/4 of 20

3/4 * 20 = 15 gallons

15 miles for every gallon

15 * 15 = 225

Samy's travel distance is 225 mIles

2. Rosa travel distance.

13 gallons

19 miles for every gallon

19 * 13 = 247 mIles

Rosa's travel distance is 247 mIles.

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!

Answers

Answer:

(7,7)

Step-by-step explanation:

The maximum point in a graph is where the y value is the highest. On this graph, the point (7,7) has the highest y value of 7 of the entire graph, making it the maximum. Hope this helps!

If a line is perpendicular to a line segment, what angle do they form at their
intersection?
A. 90°
B. 45°
C. 180°
D. 09

Answers

They form at 90 degrees intersection !

A bag contains 14 green tiles,10 red tiles, and 16 blue tiles. Brodie randomly draws a tiel, records the color , and replaces the tile.if he does this 80 times, how many times should he expect to draw a red tile

Answers

Answer:

20 red tiles

Step-by-step explanation:

14 green tiles,10 red tiles, and 16 blue tiles. = 40 tiles

P(red) = 10/40 = 1/4

If we draw 80 tiles

80 * 1/4 = 20

We should expect 20 red tiles

PLEASE HELP I WILL MARK BRAINLIEST

Answers

Answer:

(cos^2(x)-1) cot (-x); last expression.

Step-by-step explanation:

You'll first need to simplify the given expression. Then look at each option. To find out whether or not two expressions are equivalent see if they have the same value irrespective of the value of the variables in them.

1) (1-cos^2(x)) cot (-x) is equivalent

2) (cos^2(x)-1) cot(x) is equivalent

3) (sin62(x)-10 tan (x) is equivalent

4) (cos^2(x)-1) cot (-x) is not equivalent.

Nancy prepared 12 kilograms of dough after working 6 hours. How much dough did Nancy prepare if she worked for 10 hours? Solve using unit rates.

Answers

Answer:

20 kilograms of dough

Step-by-step explanation:

Given that;

12 kilograms working 6 hours

Rate = 12/6 kilogram per hour = 2 kilogram per hour

So,

In 10 hours he would produce;

Amount of dough = Time × rate

Time = 10 hours

= 10 hours × 2 kilograms per hour

= 20 kilograms of dough

Answer:

20 kilograms of dough

Step-by-step explanation:

Given;

12 kilograms of dough for 6 hours

how many of this will be produced in 10 hours ?

= (12 x 10) / 6

= 20 kilograms of dough

=

15) Martha wants to put carpet in a rectangular room that measures 14 feet by 16 feet. There is a section in front of
the door which measures 3 feet by 4 feet that will remain tiled. How many square feet of carpet will Martha need?

Answers

Answer:

5 ft

Step-by-step explanation:

write down in terms of n an expression of the following sequences
a) 12 10 8 6 4
b) 25 20 15 10 5​

Answers

Answer:

[tex]-2n+14[/tex]

[tex]-5n+30[/tex]

Step-by-step explanation:

-2 difference.

[tex]u_{n} =-2n+c[/tex]

[tex]u_{1} =-2(1)+c=12[/tex]

[tex]c=14[/tex]

-5 difference.

[tex]u_{n} =-5n+c[/tex]

[tex]u_{1} =-5(1)+c=25[/tex]

[tex]c=30[/tex]

20 POINTS !! PLEASE ANSWER THIS QUESTION !!

Answers

Answer:

a.

Step-by-step explanation:

It is not a negative so it can’t be c or d I think it is a

Answer:b

Step-by-step explanation:

the scale on the map is 1: 20000. The area of a lake on a map is1.6 square centimetres. give the actual area of the lake

Answers

Answer:

6.4 × 10^8

Step-by-step explanation:

Which statement is true regarding the functions on the
graph?
WN
(6)
f(3) = 9(3)
f(3) = g(6)
(6) - 9(6)
-124

Answers

Answer:

the last one

Step-by-step explanation:

The area of a square patio is 36 ft sq. What are the side measurements of the patio?

2 ft by 18 ft

4 ft by 9 ft

3 ft by 12 ft

6 ft by 6 ft

please hellppppp!

Answers

Answer:

6ft by 6 ft

Step-by-step explanation:

area of a square =length*width whereas they are supposed to be of the same measurements

Select the correct answer.
The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number?
A. The equation that represents this situation is 10 - x= -18. The second number is 28.
OB.
The equation that represents this situation is 10+ x=-18. The second number is -28.
C.
The equation that represents this situation is r- 10 =-18. The second number is -8.
D. The equation that represents this situation is -10+ x = -18. The second number is -8.​

Answers

Answer:

Thw answer would be B

Step-by-step explanation:

Answer:

OB.

The equation that represents this situation is 10+ x=-18. The second number is -28.

Step-by-step explanation:

First, sum means added together.

Second, one value in the sum is given so:

10+(var)=-18

var=8

and if we solve, we get -28.

The size of the red squirrel population has decreased exponentially
over the past few years in the UK.
The rate of decrease is 15% per year.
At the start of 2016 there were an estimated 10000 red squirrels in the UK.
Estimate the size of the population of red squirrels in the UK at the start of 2010.
Give your answer to 3 significant figures.​

Answers

Answer:

The size of the population of red squirrels in the UK at the start of 2010 is 3772

Step-by-step explanation:

At the start of 2016 , No. of squirrels = 10000

The rate of decrease is 15% per year.

So, No. of squirrels after x years = [tex]10000(1-0.15)^x[/tex]

We are supposed to find the size of the population of red squirrels in the UK at the start of 2010.

So,No. of squirrels after 6 years = [tex]10000(1-0.15)^6=3771.49[/tex]

Hence the size of the population of red squirrels in the UK at the start of 2010 is 3772

Answer:

Step-by-step explanation:

The population in 2016 is 10,000 but we re trying to find the population in 2010.

Let the start population be P.

Then P*(1-0.15)^6 = 10000

P*(0.85)^6 = 10000

P = 10000 / (0.85)^6

P = 26514.6834

In 2010 :

P = 26500 to 3 significant figures

Each of three friends flips a coin 71 times. The results for each friend are shown in the tables. Find the Each of three friends flips a coin 71 times. The results for each friend are shown in the tables. Find the relative frequency for the event ​"heads​" for each friend. If the friends combine their results to get 101 heads and 112 ​tails, what is the relative frequency for the event ​"heads​"? Use pencil and paper. Suppose each friend flips a coin 710 times. Is there a value you would expect the relative frequency for the event ​"heads​" to be close​ to?

Answers

For friend 1, the relative frequency is [tex]\frac{25}{71}\approx 0.352.[/tex]

For friend 2, it's [tex]\frac{53}{71}\approx 0.746,[/tex] and for friend 3, it's [tex]\frac{23}{71}\approx 0.319.[/tex]

Combining the data of all three would give a relative frequency of [tex]\frac{101}{213}\approx 0.474.[/tex]

If each friend were to flip a coin 710 times, assuming the coin to be a fair coin, we'd expect about half of the flips to be heads, so the relative frequency would be close to 0.5.

need help ezy points plz

Answers

Answer:

24 cubic inches.

Step-by-step explanation:

[tex]2a \times a^{2} +a^{3} \\2a^{3} +a^{3}[/tex]

[tex]3a^3\\3(2)^3\\3 \times 8[/tex]

A person is listening to a 500 Hz tone sitting from a distance of 450 m from the sound source. What is the time interval between successive compressions from the source?

Answers

Answer:

So, the time interval between successive compression from the source is 0.002 seconds.

Step-by-step explanation:

Given that,

Frequency of the tone, f = 500 Hz

It is sitting at a distance of 450 m from the source of sound, d = 450 m

Let t is the time interval between successive compression from the source. We know that the relation between the frequency and the time period is :

[tex]T=\dfrac{1}{f}T=\dfrac{1}{500}\\\\T = 0.002 s[/tex]

So, the time interval between successive compression from the source is 0.002 seconds.

(2x+3y)+(8x+10y) simplify the following

Answers

Answer:

10x+13y

Step-by-step explanation:

remove parentheses:

2x+3y+8x+10y

add like-terms:

2x+8x+3y+10y

add numbers with the same variables/elements

10x+3y+10y-->10x+13y

hope this helps

Hello!

Answer:

[tex]\boxed{ \bf The~correct~answer~is~10x~+~13y.}[/tex]

________________________________________________

Explanation:

(2x + 3y) + (8x + 10y)

First, drop the brackets:

2x + 3y + 8x + 10y

Next, collect like terms:

2x + 8x + 3y + 10y

Finally, add the like terms together:

10x + 13y

Can someone please help me with this!!

Answers

Answer:

33.7°

Step-by-step explanation:

The smallest angle -> opposite of the smallest side

Smallest side = 10yards

Calling this angle a

we have 10^2 = 15^2 +18^2 -2*15*18*cosa

-> cos a=0.83

cos^-1(a)=0.83 -> a =33.7 degree

The graph of equation (3,-2) passes through which point​

Answers

Answer:

If the y-intercept is 0, then this graph passes through [3,-2][6,-4][9,-6] and so forth.

Step-by-step explanation:

Rise over run, 3 is the rise, and -2 is the run. Using this you can find any point on the line up to infinity.

Answer:

it passes through y intercept

Please mark me as a Brainliest

If you were an integer, which integer would you be and why?

Answers

Answer:

6

Step-by-step explanation:

Because my lucky num is 6

Answer: 7

Step-by-step explanation:because it is one of my favorite integers

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

At the time of launch height of the object was 60 meters.

Step-by-step explanation:

An object was launched from a platform and its height was modeled by the function,

h(x) = -5x² + 20x + 60

Where x = time or duration after the launch

At the time of launch, x = 0

So, by putting x = 0 in this equation,

h(0) = -5×(0) + 20×(0) + 60

h(0) = 60

Therefore, at the time of launch height of the object was 60 meters.

can someone pls explain how you find the x intercept and how to solve a slope intercept form question????

Answers

Answer:

See below

Step-by-step explanation:

Let me give you an example to help;

[tex]y = 2x + 3[/tex]

This equation is in slope - intercept form, which can be demonstrated through the following notation -

[tex]y = mx + b - Where, m = slope, and, b = y - intercept[/tex]

Now to solve for the x - intercept, we will have to propose y as 0;

[tex]0 = 2x + 3,\\2x = - 3,\\x = - 3 / 2 = - 1 and 1 / 2[/tex]

Thus the x - intercept = - 1 and 1 / 2;

* Note that you can't solve a slope intercept form equation, unless it is a system of equations, and if that is the case just let me know and I can help you out with that *

PLZ HELP ME W DIS ASAP!!!

Answers

Answer:81/m^7(D)

Step-by-step explanation:

81m^5/12

81/m^7

A ball is thrown straight up from the top of a 40 feet tall building with an initial speed of 24 feet per second. The height of the ball as a function of time can be modeled by what function h(t) = _________________ 1. after how many seconds the ball hit the ground. 2.What is the maximum height of the ball? 3.How long did it take for the ball to reach its maximum height?

Answers

Answer:

1)The ball hits the ground after 3 seconds.

2)The maximum height of the ball is 49 feet

3)It takes 1.25 seconds to reach its maximum height

Step-by-step explanation:

Height of building = 40 feet

We are given that A ball is thrown straight up from the top of building with an initial speed of 24 feet per second.

So, The height of the ball as a function of time can be modeled by: [tex]h(t)=-16t^2+40t+24[/tex]

1)After how many seconds the ball hit the ground.

Substitute h(t)=0

So,[tex]-16t^2+40t+24=0\\-2t^2+5t+3=0\\2t^2-5t-3=0\\2t^2-6t+t-3=0\\2t(t-3)+1(t-3)=0\\(2t+1)(t-3)=0\\t=\frac{-1}{2} , 3[/tex]

Since time cannot be negative

So,the ball hits the ground after 3 seconds.

2)What is the maximum height of the ball?

It takes maximum height at vertex

Formula : [tex]t = \frac{-b}{2a}[/tex]

[tex]t=\frac{-40}{2(-16)}=1.25 seconds[/tex]

Substitute the value of t in function

[tex]h(1.25)=-16(1.25)^2+40(1.25)+24\\h(1.25)=49 feet[/tex]

So,the maximum height of the ball is 49 feet

3).How long did it take for the ball to reach its maximum height?

It takes 1.25 seconds to reach its maximum height

If |x−2|=p, where x<2, then x−p = (A) −2 (B) 2 (C) 2−2p (D) 2p−2 (E) |2p−2|

Answers

Answer:

A

Step-by-step explanation:

is the answer because x-x = 0

since -2 is left that's the answer!

Question 7
The equation of a straight line AB is
[tex] \frac{x}{2} + \frac{y}{2} = 1[/tex]

(a) Find the gradient of line AB.
(b) Find the y-intercept of line AB.
(c) A second line PQ is parallel to the line AB and passes through a point (2, -8).
Show that the second line PQ also passes through the point(-1,-5)​

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

[tex]\frac{x}{2}[/tex] + [tex]\frac{y}{2}[/tex] = 1 ( multiply through by 2 to clear the fractions )

x + y = 2 ( subtract x from both sides )

y = - x + 2 ← in slope- intercept form

(a) with slope m = - 1

(b) with y- intercept c = 2

(c)

Parallel lines have equal slopes, thus

y = - x + c ← is the partial equation of PQ

To find c substitute (2, - 8) into the partial equation

- 8 = - 2 + c ⇒ c = - 8 + 2 = - 6

y = - x - 6 ← equation of PQ

To show (- 1, - 5) lies on PQ, substitute x = - 1 into the equation and evaluate for y.

y = - (- 1) - 6 = 1 - 6 = - 5 ← the given y- coordinate

Thus PQ passes through (- 1, - 5 )

Analyze Nick's solution. Is he correct? If not, what was
his mistake?
Yes, Nick is correct.
O No, the power multiplied to 8.64 should have an
exponent of 0.
No, he needed to subtract the coefficients.
X No, he needed to add the exponents.​

Answers

Answer: No, the power multiplied to 8.64 should have an exponent of 0. B pretty much

Step-by-step explanation: just got that question trust me it’s right.

Answer:

No, the power multiplied to 8.64 should have an exponent of 0.

9. y=-2(x-3)
10. 12x + 30 y = 10
11. y = -5x+2
12. y=6+36-1)
13. y-3 = 2x
14. y=-3-4(x+9)


intercept form

Answers

the answers is 11 because it has y=mx+b

Answer:

9. y= -2x+6

10. y= -0.4x+ [tex]\frac{1}{3}[/tex]

11. y = -5x+2

12. y=41

13. y=2x+3

14. y= -4x-39

Step-by-step explanation:

9.

y= -2(x-3)

y= -2x+6

10.

12x+30y=10

Subtract 12x from both sides

30y=10-12x

Divide both sides by 30

y= -0.4x+ [tex]\frac{1}{3}[/tex]

11.

y = -5x+2

(Already solved)

12.

y=6+36-1

y=41

13.

y-3=2x

Add 3 to both sides

y=2x+3

14.

y= -3-4(x+9)

y= -3-4x-36

y= -4x-39

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