Learn how to determine the initial amount of money to invest compounded continuously

Learn how to determine the initial amount of money to invest compounded continuously

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to calculate the initial amount needed to earn $10,000 at a 6% interest rate compounded continuously over 30 years. It emphasizes the importance of using the correct formula for continuous compounding, which involves the exponential constant E. The tutorial provides a step-by-step solution, simplifying the interest rate and time, and demonstrates how to use a calculator to find the initial amount, which is approximately $1652.99.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of using the number E in the compound interest formula.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the approximate initial amount needed to earn $10,000 over 30 years at 6% interest compounded continuously?

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