Continuous Interest and Principal Amounts

The video tutorial explains how to calculate continuous interest on a bank deposit. It introduces the continuous interest formula, which is simpler than the compounded interest formula. The formula is applied to determine the account balance after a specified number of years. Examples include calculating the balance after two and ten years using a principal of $1,500 and an interest rate of 4%. The video concludes with a preview of the next tutorial, which will cover determining the time required to reach a specific account balance.

What is the principal amount deposited in the bank?

• $2,000

• $2,500

• $1,500

• $1,000

What is the annual interest rate expressed as a decimal for a 4% interest rate?

• 0.004

• 0.04

• 0.4

• 4.0

In the continuous interest formula, what does 'P' represent?

• Amount after T years

• Annual interest rate

• Principal amount

• Time in years

What is the formula for continuous interest?

• A = P(1 + r/n)^(nt)

• A = P * E^(RT)

• A = P(1 + r)^t

• A = P * (1 + RT)

What is the account balance after two years?

• $1,624.18

• $1,700

• $1,560

• $1,500

Which calculator function is used to calculate 'E' raised to a power?

• Log

• Natural Log

• Second

• Exponent

What is the account balance after ten years?

• $2,100

• $2,500

• $2,000

• $2,237.74

What variable represents the time in years in the continuous interest formula?

• A

• R

• P

• T