Determine the final value for Compound interest problems

The video tutorial explains how to calculate the final amount of an investment using continuous compounding interest. It introduces the problem, explains the formula A = P * e^(r*t), and demonstrates its application with a step-by-step calculation. The tutorial concludes with the final result and a brief summary of the process.

What is the initial amount deposited into the account?

• $1000

• $2000

• $2500

• $1500

Which formula is used for calculating continuously compounded interest?

• A = P * (1 + r)^t

• A = P(1 + r/n)^(nt)

• A = P(1 + rt)

• A = P * E^(rt)

In the formula A = P * E^(rt), what does 'E' represent?

• The time in years

• The constant for continuous compounding

• The rate of interest

• The principal amount

What is the rate of interest used in the calculation?

• 2.7%

• 1.27%

• 3.5%

• 5%

What is the final amount after five years of continuous compounding?

• $5000

• $5786.14

• $6000

• $7000