Modeling Exponential Growth in Finance and Nature

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

• 1100.50

• 1157.63

• 1050.75

• 1200.00

A population of bacteria doubles every hour. If you start with 100 bacteria, how many will there be after 5 hours?

• 1600

• 2400

• 4000

• 3200

You have $500 in a bank account that offers 4% interest compounded quarterly. How much will you have in the account after 2 years?

• 500.00

• 541.43

• 520.00

• 560.00

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

• $10,440.12

• $12,000.00

• $8,500.00

• $15,000.00

You invest $2,000 in a stock that grows at a rate of 8% per year. How much will your investment be worth after 5 years?

• $2,000.00

• $3,200.00

• $2,500.00

• $2,938.66

A loan of $1,500 is taken out with an interest rate of 6% compounded annually. How much will be owed after 4 years?

• 2000.00

• 1893.71

• 1500.00

• 1800.00

If a certain investment grows exponentially and is worth $10,000 after 3 years, how much was it worth initially if it grows at a rate of 10% per year?

• 12000

• 5000

• 8000

• 7513.15

A tree grows at a rate of 20% per year. If it is currently 3 feet tall, how tall will it be after 2 years?

• 3.6 feet

• 5.0 feet

• 4.0 feet

• 4.32 feet

You deposit $800 into an account that earns 3% interest compounded monthly. How much will you have after 1 year?

• 850.00

• 800.00

• 900.00

• 824.32

A certain investment doubles in value every 5 years. If you invest $1,000, how much will it be worth after 15 years?

• $16,000

• $4,000

• $2,000

• $8,000