# college algebra

Suppose that the Russian population is declining by 0.48% each year, and continues to decline at this rate every year.

a.) what is the overall 'growth' factor (really a decline factor) for 40 years of population decline? As a percentage of the current population, what will the Russian population be 40 years from now?

b.) by what overall percentage will the population decline over the next 40 years?

c.) look again at part b of this question. Suppose that someone makes the argument: "if the Russian population declines by 0.48% each year, then after 210 years there won't be any population left, since (0.48%)(210) is greater than 100%" What is wrong with this argument?

1. 👍 0
2. 👎 0
3. 👁 785
1. well, clearly the population, starting from an initial value of P, is

p(t) = P(0.9952^t)

after t years. So,
p(40)/P = 0.9952^40 = 0.8249
That makes a decrease of 17.51%

I think you can now refute the argument about zero population.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math

he world population at the beginning of 1990 was 5.3 billion. Assume that the population continues to grow at the rate of approximately 2%/year and find the function Q(t) that expresses the world population (in billions) as a

2. ### social studies

which population and environmental issues are affecting the economy of Indonesia? 1) overcrowding and growing drought 2) declining population and air pollution 3) declining population and water pollution 4) overcrowding and

3. ### math

the population of Canadian city is modeled by P(t)= 12t^2 + 800t + 40,00, where t is the time in years. when t=0, the year is 2007 A) according to the model, what will the population be in 2020? B)in what year is the population

4. ### history

Read the statement. When the Soviet Union collapsed, the Russian economy suffered as well. Which most accurately explains the cause of Russia’s economic problems in the early 1990s? a. Russian exports decreased when Russia lost

1. ### Algebra

a small (fictional) country had a population of 2,254,000 people in the year 2000. If the population grows steadily at a rate of 3.5% each year, what is the expected population of this country in the year 2015 to the nearest 1000?

2. ### algebra

suppose that the population of deer in a state is 19,900 and is growing 3% each year. predict the population after 10 years.

3. ### Math

gapeach69 The population of a city is 45,000 and decreases 2% each year. If the trend continues, what will the population be after 15 yrs? A) about 14,746**** B) about 33,236 C) about 41,000 D) about 47,504

4. ### Math

Suppose your community has 4512 students this year. The student population is growing 2.5% each year. Write an equation to model the student population. (y=a*b^x)

1. ### Math

Suppose your community has 4512 students this year. The student population is growing 2.5% each year. Write an equation to model the student population. (y=a*b^x)

2. ### word problem

In 1994 the moose population in a park was measured to be 6400. By 1996, the population was measured again to be 6800. If the population continues to change linearly: Find an equation for the moose population, y,in terms of x, the

3. ### Art

Which statement best describes the differences between architecual developments in Russian and Inca culture? A. Russian architecture used few expensive materials; Inca architecture used plenty of gold. B. Russian architecture was

4. ### Applied Calculus

The world population at the beginning of 1990 was 5.3 billion. Assume that the population continues to grow at the rate of approximately 2%/year and find the function Q(t) that expresses the world population (in billions) as a