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Answer:

a) The exponential growth function

P(t) = 5,690,000(1.0287)^t

b) 6,742,868.7374 million

c) 12.04 years

d) 2439.0243902

Step-by-step explanation:

In​ 2012, the population of a city was 5.69 million. The exponential growth rate was 2.87​% per year. ​

The formula for exponential growth is given as:

P(t) = Po( 1 + r) ^t

Where P = Population size after time t

Po = Initial population size

r = Growth rate in percentage

t= time in years

a) Find the exponential growth function.

P(t) = Population size after time t

Po = Initial population size = 5.69 million

r = Growth rate in percentage = 2.87% = 0.0287

t= time in years

The Exponential growth function

P(t) = 5,690,000(1 + 0.0287)^t

P(t) = 5,690,000(1.0287)^t

​b) Estimate the population of the city in 2018. ​

From 2012 to 2018 = 6 years

t = 6 years

Hence,

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^6

P(t) = 5,690,000(1.0287)^6

P(t) = 6,742,868.7374 million

c) When will the population of the city be ​8 million?

P(t) = 8,000,000

P(t) = Po( 1 + r) ^t

P(t) = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1 + 0.0287)^t

8,000,000 = 5,690,000(1.0287)^t

Divide both sides by 5,690,000

8,000,00/5,690,000 = 5,690,000(1.0287)^t/5,690,000

= 1.4059753954 = 1.0287^t

Take logarithm of both sides

log 1.4059753954 = log 1.0287^t

Log 1.4059753954 =t Log 1.0287

t = Log 1.4059753954/Log 1.0287

t = 12.041740264

t = 12.04 years

​d) Find the doubling time.

The formula is given as 70/Growth rate

= 70/0.0287

= 2439.0243902

Answer:

4/5

Step-by-step explanation:

The rise is 4, and the run is 5. The rise comes first, so the answer is 4/5. The line is positive.

Answer:

slope = 4/5

Step-by-step explanation:

The best way to find the slope with just a line is to pick the most direct points on the graph, meaning points that are not in between numbers but right on the graph lines

y value - y value  over x value - x value  

Points: (-2,0) and (3,4)

4-0 = 4

3-(-2) = 5

4/5

Answer:

6 jellybean

Step-by-step explanation:

Given that:

Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.

Consider the regular flavored jellybean to be = r;  &

The surprise jelly bean.= s

From the bag, there are 40 jellybeans of which 15% is surprise jellybean.

Therefore the number of expected surprise jellybeans is:

= total number of jellybeans × percentage of surprise jellybean

= 40 × (15 /100)

= 6 jellybean

If  6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean

Answer: its d

Step-by-step explanation:

Answer:

4cm by 4cm

Step-by-step explanation:

x+3+x+3+x+3+x+3=40

4x+12=40

4x=40-12

4x=28

x=28/4

x=7

original dimension=7-3

=4cm

The required original dimension of the square is 7.

Given that,

If the length of a side of a square is increased by 3 cm, the perimeter of the new square is 40 cm more than twice the length of a side of the original square. To determine the dimensions of the original square.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the length of the square be x,
Now,
According to the question,
The perimeter of the square = 40
4 (x + 3) = 40
x + 3 = 10
x = 7

Thus, the required dimension of the square is 7.

Learn more about simplification here: https://brainly.com/question/12501526

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Answer:

63 km

Step-by-step explanation:

divide 12 by 4 =3

multiply 3 by 21 which is 63.

Answer:

9492 divided by 20 equals

474 with a remainder of 12

Step-by-step explanation:

or 2373/5 or 474.6

Answer:.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

the answer will be 9 dollars

Explanation:

The discount of 25% off means you save 0.25*12 = 3 dollars, meaning the final cost is 12-3 = 9 dollars.

Or you can think of it like this: if you save 25%, then you still pay the remaining 75%. So 0.75*12 = 9 dollars is the total cost.

Answer:

7 < x

Step-by-step explanation:

−3 < x -10

Add 10 to each side

−3+10 < x -10+10

7 < x

Answer:

Step-by-step explanation:

The circumference is either pi*d or 2 pi r

Use pi*d

3.14 * 14 = 43.96

Answer:

43.96 m

Step-by-step explanation:

[tex]C = \pi \: d = 3.14 \times 14 = 43.96 \: m[/tex]

Answer:4x

Step-by-step explanation:

Answer:

The answer is 0.71

Step-by-step explanation:

I divided it

Answer:

The second train speed is 356.4 miles per hour

And, the first train speed is  361 miles per hour

Step-by-step explanation:

The computation of the speed of each train is as follows

Given that

The Sum of the speed of two trains is 717.4 miles per hour

Let us suppose the second train speed be x

So for the first train, the speed is x + 4.6

Now the equation is

x + x + 4.6 = 717.4

2x + 4.6 = 717.4

2x = 717.4 - 4.6

2x = 712.8

x= 356.4

Therefore the second train speed is 356.4 miles per hour

And, the first train speed is = 356.4 + 4.6 = 361 miles per hour

Answer:

y[tex]\geq[/tex]1/4x+2

Step-by-step explanation:

Answer:

2010

Step-by-step explanation:

1/2(24)(20)=240

50*45=2250

2250-240=2010

Answer:

Step-by-step explanation:

Answer:

The answer is 888,889,013,321

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

Answer:

the person above me is correct it is 14.5

Step-by-step explanation:

:)

The solution to given equation is 91.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is t-15=76.

Here, transpose 15 to RHS of the equation, we get

t=15+76

t=91

Therefore, the value of t from the given equation is 91.

To learn more about an equation visit:

https://brainly.com/question/14686792.

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"Your question is incomplete, probably the complete question/missing part is:"

What is the solution to the equation?

t-15=76

Answer:

2.50

Step-by-step explanation:

Answer:

2.5 so $2.50 is your awnser

Answer:

12 miles

Step-by-step explanation

56.75 - 2.75 = 54

1/2(54/2.25)

Answer:

x=4 y=6

Step-by-step explanation:

Answer:

d/x

Step-by-step explanation:

[tex]d=bx\\\frac{d}{x} =b[/tex]

Step-by-step explanation:

2x + 3x + 4x = 180

9x = 180

x = 20

2x = 2(20)=40

3x = 3(20)=60

4x = 4(20)=80

Answer: 1/2

Step-by-step explanation:

2/4=1/2

Answer: Yes, 1/2, ,2/4, and 4/8 are all equal because if they are all one half, then they are equal.

Step-by-step explanation: