Investment and Interest Rate Concepts

The video tutorial explains how to determine the time required for an investment to double using the simple interest formula. Janelle wants to invest $1,400 in an account with a 5.5% annual simple interest rate. The tutorial breaks down the problem, explains the formula, and demonstrates the steps to solve for the time 't'. By substituting the given values into the formula and solving the equation, it is determined that it will take approximately 18.2 years for the investment to double.

What is the initial amount Janelle wants to invest?

• $1,000

• $1,400

• $2,800

• $5,000

What is the annual simple interest rate for Janelle's investment?

• 5.5%

• 6.0%

• 5.0%

• 4.5%

Which formula is used to calculate the future value of Janelle's investment?

• A = P(1 + rt)

• A = P(1 - rt)

• A = P(1 + r/t)

• A = P(1 - r/t)

What is the future value Janelle wants to achieve with her investment?

• $5,600

• $1,400

• $2,800

• $4,200

What is the decimal form of the interest rate used in the formula?

• 0.055

• 0.050

• 0.045

• 0.060

What operation is performed to both sides of the equation to simplify it?

• Addition

• Subtraction

• Multiplication

• Division

After simplifying the equation, what is the next step to isolate the variable t?

• Multiply both sides by 0.055

• Divide both sides by 0.055

• Add 1 to both sides

• Subtract 1 from both sides

What is the approximate value of t when rounded to the nearest tenth?

• 17.5

• 18.0

• 18.2

• 19.0

How many years will it take for Janelle's investment to double?

• 16.5 years

• 20.0 years

• 18.2 years

• 15.2 years

Why is the value of t rounded up in the final step?

• Because of the 0 in the units place

• Because of the 2 in the thousandths place

• Because of the 8 in the hundredths place

• Because of the 5 in the tenths place