Exploring Exponential Growth and Compound Interest

A population of bacteria doubles every 3 hours. If there are initially 500 bacteria, how many will there be after 12 hours?

• 10000

• 6000

• 8000

• 4000

A bank offers a savings account with an annual interest rate of 5% compounded annually. If you deposit $1,000, how much money will you have in the account after 3 years?

• 1100.50

• 1050.75

• 1157.63

• 1200.00

A car's value decreases by 15% each year. If the car was originally worth $20,000, what will its value be after 4 years?

• $15,000.00

• $8,500.75

• $10,448.13

• $12,000.00

A certain investment grows according to the formula A = P(1 + r)^t. If you invest $2,000 at an interest rate of 4% for 5 years, what will be the total amount?

• 2500.00

• 2433.31

• 2400.75

• 2300.50

The number of users on a social media platform increases exponentially. If there were 1,000 users last year and the number triples every year, how many users will there be in 3 years?

• 27000

• 9000

• 50000

• 15000

A certain species of fish in a lake grows at a rate of 10% per year. If there are currently 200 fish, how many will there be in 5 years?

• 322

• 250

• 400

• 180

A loan of $5,000 is taken out with an interest rate of 6% compounded monthly. How much will be owed after 2 years?

• $6,000.00

• $5,500.00

• 5637.45

• $5,000.00

A tree grows at a rate of 8% per year. If the tree is currently 10 feet tall, how tall will it be after 3 years?

• 12.60 feet

• 14.40 feet

• 9.20 feet

• 10.80 feet

A city’s population is currently 150,000 and is expected to grow at a rate of 2% per year. What will the population be in 10 years?

• 182850

• 200,000

• 160,000

• 175,000

If you invest $1,500 in an account that earns 3% interest compounded quarterly, how much will you have after 4 years?

• 1691.24

• 1750.50

• 1500.00

• 1600.75