Learn how long to invest your money compounded continuously

Learn how long to invest your money compounded continuously

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to calculate the number of years needed to grow $100 to $1000 using continuous compounding at an 8% interest rate. It introduces the formula FV = P * e^(RT), defines the variables, and demonstrates solving for time using natural logarithms. The calculation shows it takes approximately 29 years, highlighting the power of compounding.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula used to calculate the future value when compounding continuously?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of 'P' in the context of this problem?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you convert the interest rate from percentage to decimal form?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you isolate the variable 'T' in the equation?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final answer for the number of years it takes to turn $100 into $1000 at an 8% interest rate?

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