Exponential Word Problems

If you invest $1000 in a savings account with an annual interest rate of 5% compounded annually, how much money will you have in the account after 3 years?

• $1157.63

• $1050.00

• $1100.00

• $1150.00

A population of bacteria doubles every 4 hours. If there are initially 200 bacteria, how many bacteria will there be after 12 hours?

• 800

• 1600

• 1200

• 2400

A radioactive substance has a half-life of 6 years. If you start with 80 grams, how much of the substance will remain after 18 years?

• 10 grams

• 20 grams

• 5 grams

• 40 grams

Calculate the compound interest earned on a principal of $1500 at an annual interest rate of 4% compounded semi-annually for 2 years.

• $123.20

• $122.40

• $124.80

• $120.00

A certain species of fish in a lake doubles its population every 5 years. If there are currently 500 fish, how many fish will there be in 15 years?

• 2000

• 1500

• 1000

• 2500

If you invest $2000 in an account with an annual interest rate of 3% compounded quarterly, how much will you have after 5 years?

• $2318.55

• $2320.00

• $2300.00

• $2350.00

A certain type of plant doubles in size every 2 weeks. If a plant is initially 5 cm tall, how tall will it be after 6 weeks?

• 20 cm

• 40 cm

• 35 cm

• 30 cm

A medication has a half-life of 8 hours. If a patient takes a 160 mg dose, how much of the medication will remain in their system after 24 hours?

• 20 mg

• 40 mg

• 10 mg

• 30 mg

Calculate the amount of money accumulated after 4 years if $5000 is invested at an annual interest rate of 6% compounded monthly.

• $6350.40

• $6340.50

• $6320.00

• $6300.00

A population of rabbits doubles every 3 months. If there are initially 100 rabbits, how many rabbits will there be after 9 months?

• 400

• 300

• 200

• 800