1. The population of a town was 5655 in 2010. The population grows at a rate of 1.4% annually. (a) Use the exponential growth model to write an equation that estimates the population t years after 2010. (a) Estimate the population of the town in 2022. Show your work.

Answers

Answer 1

(a) The exponential growth model is P = 5655 e^(0.014t)

(b) Population of the town in 2022 is 6689.5065.

What is Population Growth?

Population growth is defined as the number of people increasing over years in a specific region calculated using annual growth rate.

(a) The formula to calculate population growth is,

P = P₀ e^(r t)

Given,

Initial population in 2010, P₀ = 5655

Annual growth rate, r = 1.4% = 0.014

Substituting,

P = 5655 e^(0.014t)

(b) To estimate the population of town in 2022,

t = 2022 - 2010 = 12 years

Substituting value of t in the formula in (a),

P = 5655 e^(0.014 × 12)

= 5655 e^(0.168)

= 5655 × 1.1829

= 6689.5065

Hence the population is 6689.5065 in 2022.

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Related Questions

360 miles in 6 hours unit rate

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Answer:

60 miles per hour

Step-by-step explanation:

360 miles / 6 hours = 60 miles per hour

Answer:

60, I hope this helped and please mark brainliest!

Step-by-step explanation:

This would be 60 miles per hour since you divide 360 by 6. So the rate is 60.

5 out of 40 randomly selected students at Oxford Middle School stated that they would like to have a school uniform policy. Based on those results, about how many students out of the 992 enrolled would you expect to want a school uniform policy?

Answers

Answer:

124

Step-by-step explanation:

5 out of 40 = ⅛ of the students stated they would like to have a school uniform policy.

992 × ⅛ = 124

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Answer:

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IK

Another way to do this is that when you find FD on the triangle you can set that the line has 3 tally marks. Then look at the other triangle and find a line in which there are 3 tally marks.
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The length of a rectangle is three meters more than its width the perimeter of the rectangle is 74 meters what are the dimensions of the rectangle

Answers

Answer:

17 meters x 20 meters

Step-by-step explanation:

perimeter = 2 widths + 2 lengths

74 = 2W + 2L

L = W + 3

substitute for L

74 = 2W + 2(W + 3)

74 = 4W + 6

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L = 20 meters

Answer:

Step-by-step explanation:

Givens

Let the width = w

Then the Length = w + 3

Formula

P = 2L + 2W

P = 74

Solution

Substitute w + 3 for L

2(W + 3) + 2W = 74 Remove the brackets

2W + 6 + 2W = 74 Collect Like Terms

4w + 6 = 74 Subtract 6 from both sides

4w = 74 - 6

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L = 17 + 3

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Check

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From his home Craig would have to walk due north to get to his friend Devon's house and due east to get to his friend Dereks house.it is 4 miles from Craigs house to derricks House and a straight line distance of 5 miles from devon house to derricks House how far is Craig's house from Devon's house

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Gilligan sees a ship coming close to the shore hes standing on.

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i think part a is: yes because both triangles are right angles. it would be postulate SAS

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Find the equation of direct variation,
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Answer G. 99/36= 11/4x

An Item is priced at $14.91. If the sales tax is 4%, what does the item cost including the tax? A. 30.42 B. $0.60 C.$15.51 D. $20.87

Answers

Answer:

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Step-by-step explanation:

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What do you need help with ??

Cindy and Tim went to the state fair. They paid a $4.50 entry and $1.25 per ride ticket

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Step-by-step explanation:

Write more compactly about functional relationships such as, “If you sell x tickets, then your profit will be ... Jason goes to an amusement park where he pays $8 admission and $2 per ride.

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Answer:

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Step-by-step explanation:

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hope this helps, have a great day :)

Lin borrowed 950 for a new laptop. She will pay $25,80 each month for the next 48 months (2 years). Find the amount of
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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Value of [tex]\boldsymbol{DG}[/tex] in a triangle [tex]DFG[/tex] is equal to [tex]\boldsymbol{21}[/tex] inches. To understand the calculations, check below.

Define similar triangles.

Two triangles are said to be similar if their sides are proportional and their angles are equal.

Triangles [tex]ABC,DFG[/tex] are similar

[tex]\frac{AB}{DF}=\frac{BC}{FG}=\frac{AC}{DG}[/tex]

[tex]\frac{5}{15}=\frac{7}{DG}[/tex]

[tex]DG=21[/tex] inches

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

The answer to the question is 150.

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