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NNADVOKAT [17]
3 years ago
6

In the year 2000, the United States had a population of about 281.4 million people; by 2010, the population had risen to about 3

08.7 million.
Part A

Find the 10-year continuous growth rate using P=P_{0}e^{rt}.


Part B

Write an equation to model the population growth of the United States, and use it to estimate the population in 2020.
Mathematics
1 answer:
IgorC [24]3 years ago
8 0

Answer:

Part 1. 0.9259 % per year

Part 2. P = 281.4e^(0.009 259t); 338.6 million  

Step-by-step explanation:

Data:

P₀ = 281.4 million

P  = 308.7 million

Part 1. Growth rate

t = 2010 - 2000 = 10 yr

        P = P₀e^(rt)

308.7 = 281.4e^(10r)

e^(10r) = 1.0970

     10r = ln1.0970

        r = (ln1.0970)/10 = (0.092 59)/10 = 0.009 259  

        r = 0.9259 % per year

The 10-year continuous growth rate is 0.9259 % per year.

Part 2. Population model

The population model is

P = 281.4e^(0.009 259t)

where P is in millions and t is the number of years since 2000.

By 2020,

P = 281.4e^(0.009 259 × 20) = 281.4e^0.1852 = 281.4 × 1.203

P = 338.6 million

The estimated population in 2020 is 338.6 million.

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Answer:

Hope the below answer is easy to understand

Step-by-step explanation:

1)  Given the four angles of a quadrilateral are in the ratio 1:2:3:4

Then Let the angles are x,2x,3x and 4x

We know that total of  four angles of a quadrilateral =360 °

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⇒x=36  °

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2) Measure of interior angle of a polygon= 180°.

Sides of the polygon = 7 sides

Therefore,

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2 years ago
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olya-2409 [2.1K]

Answer:

The option which you chose is absolutely right.

Step-by-step explanation:

h(n) = 3^ n + 3

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Hope it will help :)

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Harman [31]

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