Modeling Growth: Exploring Compound Interest and Decay

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

• 1200.00

• 1050.75

• 1100.50

• 1157.63

A population of a small town is 10,000 and is growing at a rate of 4% per year. What will the population be in 5 years?

• 12167

• 11500

• 10500

• 13000

You invest $500 in a stock that increases in value by 8% each year. How much will your investment be worth after 4 years?

• 680.25

• 540.00

• 600.00

• 720.00

A car depreciates in value by 15% each year. If the car was originally worth $20,000, what will its value be after 2 years?

• $16,000

• $12,000

• $18,500

• $14,450

A certain bacteria culture doubles in size every 3 hours. If you start with 200 bacteria, how many will there be after 12 hours?

• 2400

• 4000

• 3200

• 1600

You take out a loan of $2,000 with an interest rate of 6% compounded monthly. How much will you owe after 2 years?

• 2254.98

• 2400.50

• 2100.00

• 2005.75

A smartphone's value decreases by 20% each year. If it was purchased for $800, what will its value be after 3 years?

• $720.00

• $512.00

• $409.60

• $640.00

A city’s population is currently 50,000 and is expected to grow by 3% each year. What will the population be in 10 years?

• 75000

• 67196

• 60000

• 80000

You invest $1,200 in a savings account that offers a 3% interest rate compounded quarterly. How much will you have in the account after 5 years?

• 1393.92

• 1300.50

• 1500.00

• 1200.00

A tree grows at a rate of 10% per year. If the tree is currently 5 feet tall, how tall will it be after 4 years?

• 8.50 feet

• 7.32 feet

• 9.00 feet

• 6.00 feet