algebra 4 week

Exponential and logarithmic equations

1. Solve for x. 

2. Solution for x. Round your answer to 2 decimals. 

3. Solution for x. 

4. Solution for x. Growth and exponential decay 

Data modeling 

1. The exponential equation describes the population of a particular country in millions of years after 2003. When will the country's population be 150 million? 

2. An artifact originally had 20 grams of carbon-14 present. The decay model describes the amount of carbon-14 present after t years. How many grams of Carbon 14 will be present in 8243 years? Round your answer to two decimal places. 

3. model the percentage, P (x), of Americans who have x years with some coronary heart disease. At what age is the percentage of coronary heart disease of 25%? 

4. An ancient artifact contained 25% of the original carbon-14. Estimate the age of the artifact.