Finding the final value of compound interest

Finding the final value of compound interest

Assessment

Interactive Video

Mathematics, Business

11th Grade - University

Hard

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The video tutorial explains how to apply a specific formula for calculating compound interest. It breaks down the formula into its components, including the initial value, interest rate, compounding frequency, and time. The tutorial provides a step-by-step guide on how to use the formula with given values, emphasizing the importance of following the order of operations. The process involves division, addition, exponentiation, and multiplication to arrive at the final value. The tutorial concludes with a recap of the steps and the importance of adhering to the order of operations to avoid errors.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the variable 'P' represent in the compound interest formula?

Number of years

Interest rate

Initial value

Final value

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an amount is compounded quarterly, how many times is it compounded in a year?

5 times

4 times

3 times

2 times

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in the order of operations when solving the compound interest formula?

Multiplication

Exponentiation

Addition

Division

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After calculating the value inside the parentheses, what is the next step in the order of operations?

Divide by the number of years

Add the interest rate

Raise to the power of n*T

Multiply by the initial amount

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final value after applying the compound interest formula with the given example values?

$12,000.00

$10,000.00

$11,538.34

$9,000.00