Exponential Growth and Decay Practice

A population of 1500 deer decreases by 1.5% per year. What will be the deer population after 11 years? Round to the nearest deer.

An antibiotic is introduced into a colony of 15,000 bacteria during a laboratory experiment. The colony begins to decrease at 13.7% every minute. How many bacteria will remain after 15 minutes? Round to the nearest bacteria.

A population of fish starts at 12,500 and increases by 6% per year. However, after 3 years, predators move into the area and the fish population decreases by 4.5% per year. What is the fish population after another 3 years? Round decimals to the nearest fish.

Aaron invests $10,000 in a savings account earning 4.5% annual interest compounded quarterly. What is the value of his investment after 5 years? Round to the nearest cent. 

Use the formula

 $A\left(t\right)\ =\ P\left(1+\frac{r}{n}\right)^{nt}$  

A $149,585 Corvette averages a 6.6% depreciation rate per year. What will be the resale value of the sports car in 7 years? Round to the nearest cent.

A cup of green tea contains 35 milligrams of caffeine. The average teen can eliminate approximately 12.5% of the caffeine from their system per hour. How much caffeine will remain after 3 hours? Round to two decimal places.

The attendance for a basketball team declined at a rate of 5% per game throughout a losing season. There were 23,500 people at the first game. How many people will there be by game 15? Round to the nearest person.

The population of North Dakota started out at 700,000 people in 2013. The population increases by 6% every year. How large will the population be in 2021? Round to the nearest person.

A new millionaire puts $1,575,000 in a bank account that is compounded quarterly at 12%. How much money will be in the account after 10 years? Round to the nearest cent.

Holly bought an antique vanity mirror for $1800. She finds out that it is a very rare piece and its value increases by 8% every year. What will the value of the mirror be in 9 years? Round to the nearest cent.