precalculus

posted by .

A population doubles every 30 years. Assuming exponential growth find the following:

annual growth rate: %
continuous growth rate: %

• precalculus -

2 = 1(1+i)^20
take 20th root of both sides
1.03526 = 1+i
i = .03526

the rate is 3.526%

continuous growth:
2 = e^(20k)
ln 2 = 20k(lne)
k = ln2/20 = .03466 or 3.466%

Similar Questions

1. Macroeconomics

Calculating the Rate of Growth of Per Capita Real GDP The annual rate of growth of real GDP in a developing nation is 0.3 percent. Initially, the countries' population was stable from year to year. Recently, however, a significant …
2. Math

You are listening to a political pundit discussing the growth of the state's population with a radio talk show host. The host states that the State of Arizona had a population of 6,166,318 in 2006. Our pundit says the 2005 population …
3. Mathematics

You are listening to a political pundit discussing the growth of the state's population with a radio talk show host. The host states that the State of Arizona had a population of 6,166,318 in 2006. Our pundit says the 2005 population …
4. MATH

You are listening to a political pundit discussing the growth of the state's population with a radio talk show host. The host states that the State of Arizona had a population of 6,166,318 in 2006. Our pundit says the 2005 population …
5. math

write the exponential function y=40e^0.06t in the form y=ab^t. find b accurate to 4 decimal palces. if t is measured in years, give the % annual growth or decay rate and the continuous % growth or decay rate per year.
6. Calculous Pre

A population grows from 11,000 to 15,000 in three years. Enter your answers to three decimal places. Assuming the growth is exponential, find the growth rate and continuous growth rate Growth rate ______ %?
7. Algebra

The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 3.7% per hour. How many hours does it take for the size of the sample to double?
8. Math

Assume the carrying capacity of the earth is 9 billion. Use the 1960s peak annual growth rate of 2.1​% and population of 3 billion to predict the base growth rate and current growth rate with a logistic model. Assume a current population …
9. Math

N(t)=2000e^(1.1t) the continuous growth rate is 110% effective growth rate?
10. Algebra II Help

4) The function f(x)=2(3)^x represents the growth of a dragonfly population every year in a remote swamp. Rose wants to manipulate the formula to an equivalent form that calculates seven times a year, not just once a year. Which function …

More Similar Questions