Understanding Exponential Functions in Finance

What is the formula for calculating the future value of an investment with exponential growth, given the principal amount $$P$$ , the rate of growth $$r$$ , and the time $$t$$ in years?

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

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

What is the formula for calculating the future value of an investment experiencing exponential decay, given the initial value $$V_0$$ , the decay rate $$r$$ , and the time $$t$$ in years?

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

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

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

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

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

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