algebra

posted by .

A certain country's population P(t), in millions, t years after 1980 can be approximated by P(t) = 2.495(1.019)^t. Find the doubling time.

• algebra -

solve
4.990 = 2.495(1.09)^t
2 = 1.09^t
log 2 = tlog1.09
t = log2/log1.09 = 8.043

• algebra -

48,6 yr

58.4 yr

36.8 yr

or

73.7 yr

• algebra -

I should really have my eyes checked soon, lol
I saw 1.09 instead of 1.019

so last line
t = log2 / log 1.019 = 36.8 years

Similar Questions

1. Algebra

The population of Australia in x years after 1980 can be modeled by the function y=14.6*(1.014)^x. Estimate the population of Australia for each year. a) 1976 b) 1980 c) 1972 I am not sure of what to do. Help Please ?
2. Calculus

The population of a region is growing exponentially. There were 40 million people in 1980 (when t=0) and 50 million people in 1990. Find an exponential model for the population (in millions of people) at any time t, in years after …

If a population consists of 10,000 individuals at time t=0 years (P0), and the annual growth rate (excess of births over deaths) is 3% (GR), what will the population be after 1, 15 and 100 years (n)?
4. Math

Solve. The population of a particular country was 29 million in 1980; in 1989, it was 36 million. The exponential growth function A=29e^kt describes the population of this country t years after 1980. Use the fact that 9 years after …
5. Math

Suppose human activity has caused a 0.1 Fahrenheit increase in global temperatures so far, and that this sift will grow exponentially with a doubling time of 10 years. a. How much will temperatures have risen 50 years from now?
6. algebra

I have no clue where to begin on this problem. Can some one help me please. One demographer believes that the population growth of a certain country is best modeled by the function P (t) =15 e^.08t, while a second demographer believes …
7. math

In 1980, the population of a certain country was about 161 000. since then the population has decreased about 1% per year. a. find an equation to model the population since 1980 b. estimate the population in 1990 c. suppose the current …
8. math

The population of a certain country grows according to the formula N=N0e^kt where N is the number of people(in millions) after t years,N0 is the initial number of people(in millions) and k=1/20In 5/4.Calculate the doubling time of …
9. algebra

The population of a particular country was 29 million in 1985; in 1997, it was 38 million. The exponential growth function describes the population of this country t years after 1985. Use the fact that 12 years after 1985 the population …
10. Algebra

Complete the following table Growth rate is k, Doubling time is T Population Growth Rate Doubling time Country A 1.3% yr ?

More Similar Questions