Learn to find the number of years it takes to reach an amount with compound interest

The video tutorial explains how to solve an investment problem involving compounded interest. It begins by setting up the problem, where an investment of 1.5 million at an 8% interest rate compounded quarterly needs to grow to 3.75 million. The instructor explains the compounded interest formula and demonstrates how to set up the equation with the given values. The tutorial then focuses on solving for the time variable using logarithms, including the change of base formula. The video concludes with a summary and addresses any questions from the audience.

What is the initial investment amount mentioned in the problem?

• 2 million

• 3.75 million

• 1.5 million

• 1 million

How often is the interest compounded in the given problem?

• Monthly

• Quarterly

• Semi-annually

• Annually

In the compound interest formula, what does the variable 'A' represent?

• Interest rate

• Number of times interest is compounded

• Principal amount

• Future value

What is the first step in solving for the time variable (T) in the compound interest formula?

• Multiply by the principal

• Divide by the interest rate

• Isolate the exponent

• Convert to a logarithm

What mathematical operation is used to solve for T after isolating the exponent?

• Logarithm

• Subtraction

• Multiplication

• Addition

What is the approximate time in years for the investment to reach the desired amount?

• 15 years

• 10.5 years

• 11.57 years

• 12 years

Which formula is used to change the base of a logarithm in the final calculation?

• Binomial theorem

• Pythagorean theorem

• Change of base formula

• Quadratic formula