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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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3 years ago
The price of a television was reduced from 250 to 200. by what percentage was the price of the television reduced
Murljashka [212]

Answer:

20%

Step-by-step explanation:

We can start by finding out how much the price of the television was reduced by.

250 - 200 = 50

Now, we need to know what percent of 250 is 50? Let x represent the percent of 250 that is 50. Using this, we can set up an equation:

<u />x\%\times 250=50

Notice that a percentage can also be written as that number over 100.

\frac{x}{100}\times250=50

\frac{250x}{100}=50

Reduce the fraction (250 and 100 have a common factor of 10)

\frac{25x}{10}=50

Reduce the fraction again (25 and 10 have a common factor of 5)

\frac{5x}{2}=50

Multiply both sides by two

5x=100

Divide both sides by 5

x=20

Therefore the price of the television was reduced by 20%.

4 0
2 years ago
What is the slope of the line shown below?
Thepotemich [5.8K]

Answer:

○ A. \frac{6}{5}

Step-by-step explanation:

Starting from the y-intercept of [0, 5], you do \frac{rise}{run}by either moving six blocks <em>south</em><em> </em>over five blocks <em>west</em><em> </em>or six blocks <em>north</em><em> </em>over four blocks <em>east</em><em> </em>[<em>west</em><em> </em>and <em>south</em><em> </em>are negatives].

I am joyous to assist you anytime.

3 0
3 years ago
Heera jogs 2 rounds of the park, whose length is 4.5 km and width is twice its length .Find the total distance covered by her .
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Answer:

54 km

Step-by-step explanation:

The distance she covers would be equal to twice the perimeter of the park which is in the shape of a rectangle

perimeter of a rectangle = 2 x (length x width)

length = 4.5

width = 2 x 4.5 = 9

2 x (4.5 + 9) = 27km

In one walk, she covers a distance of 27km. In two walks, she covers a total distance of 27km x 2 = 54km

8 0
3 years ago
Is the answer A ?????<br><br> I don't know, plzzzz help me
-Dominant- [34]
I think very well that it is A or B. With my experience, but you might want to keep doing research.

8 0
3 years ago
Read 2 more answers
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