Understanding Exponential Functions in Finance

If you invest $1000 at an annual growth rate of 5%, what will be the value of the investment after 3 years?

• $1157.63

• $1050

• $1157.62

• $1100

Which of the following scenarios best describes exponential decay in investments?

• A stock price increasing by 10% each year.

• A car losing 15% of its value each year.

• A bank account earning 5% interest annually.

• A population of bacteria doubling every hour.

If a car is worth $20,000 and depreciates at a rate of 10% per year, what will be its value after 2 years?

• $16,200

• $18,000

• $16,000

• $18,200

Which of the following is an example of exponential growth in finance?

• A savings account with a fixed annual interest rate.

• A loan with a decreasing interest rate.

• A stock that loses value over time.

• A bond with a fixed maturity value.

If an investment grows at a rate of 8% per year, how long will it take for the investment to double in value?

• 9 years

• 8 years

• 10 years

• 9.5 years

What is the effect of a higher decay rate on the value of an investment over time?

• The value decreases more slowly.

• The value remains constant.

• The value decreases more quickly.

• The value increases.

If an investment of $5000 experiences exponential decay at a rate of 6% per year, what will be its value after 5 years?

• $3,735.92

• $4,000

• $4,184.25

• $4,500

Which of the following best describes the concept of exponential growth?

• A constant increase in value over time.

• A constant decrease in value over time.

• A value that increases by a fixed percentage each period.

• A value that remains unchanged over time.