Determine end value of compound interest continuously

Determine end value of compound interest continuously

Assessment

Interactive Video

Mathematics, Business

11th Grade - University

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains the concept of continuous compounding using the formula A = P * E^(R*T). It breaks down each component of the formula, including the final amount (A), principal (P), constant (E), interest rate (R), and time (T). The tutorial provides a practical example, calculating the final amount for a $12,000 deposit at an 8% interest rate over 50 years, resulting in $655,177.80. The importance of using a scientific calculator for such calculations is emphasized.

Read more

5 questions

Show all answers

1.

OPEN ENDED QUESTION

3 mins • 1 pt

What formula is used to calculate the final amount when interest is compounded continuously?

Evaluate responses using AI:

OFF

2.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the variable 'P' represent in the formula for continuous compounding?

Evaluate responses using AI:

OFF

3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of 'E' in the context of continuous compounding?

Evaluate responses using AI:

OFF

4.

OPEN ENDED QUESTION

3 mins • 1 pt

How is the annual interest rate expressed in the formula for continuous compounding?

Evaluate responses using AI:

OFF

5.

OPEN ENDED QUESTION

3 mins • 1 pt

If you deposit $12,000 at an interest rate of 8% compounded continuously for 50 years, what will be the final amount?

Evaluate responses using AI:

OFF