Warm Up: Find the final amount : Invest $4000 at 6% compounded quarterly for 20 years. Invest $5600 at 3.7% compounded continuously for 12 years.

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Presentation transcript:

Warm Up: Find the final amount : Invest $4000 at 6% compounded quarterly for 20 years. Invest $5600 at 3.7% compounded continuously for 12 years.

Application Problems

Growth and Decay

The population of Durango is 50,000. If it grows at a rate of 2%, what will the population be in one year?

The population of Cedar Oak in 1920 was If the population is growing at a rate of 5% per year, what will the population be in 1970?

The population of Walden in 1930 was 350,000. If the population is decreasing at a rate of 2.5% per year, what will the population be in 1990?

The population of Greenwood in 1940 was If the population is growing at a rate of 4.5% per decade, what will the population be in 2010?

The population of Glenview in 1935 was If the population is growing at a rate of 3% per decade, what will it be in 2020?

If you have 30 bacteria that double every hour, predict the population after 4 hours.

If you have 65 bacteria that triple every hour, predict the population after 4 hours.

If you have 120 bacteria that double every 15 minutes, predict the population after 3 hours.

Suppose the half-life of a certain radioactive material is 20 days and there are 10 grams initially. How much is left after 60 days?

Suppose the half-life of a certain radioactive material is 15 days and there are 60 grams initially. How much is left after 80 days? Give answer to nearest thousandth.

One Last Thing from Algebra……

Example: The original population was 100. The new population is 60. What is the percent decrease?

Homework Worksheet