Applying compound interest to find the final value of a deposit over the years

Applying compound interest to find the final value of a deposit over the years

Assessment

Interactive Video

Mathematics, Business

11th Grade - University

Hard

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The video tutorial explains how to calculate compound interest for an initial amount of $12,000 with an 8% annual interest rate compounded biweekly over 50 years. It introduces the compound interest formula, discusses the importance of compounding frequency, and provides a detailed step-by-step calculation. The tutorial also emphasizes the significance of rounding and accuracy in calculations.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the principal amount used in the compound interest problem?

$10,000

$12,000

$15,000

$20,000

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the annual interest rate expressed in the formula?

As a fraction

As a whole number

As a decimal

As a percentage

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many times is the interest compounded per year in this problem?

12 times

52 times

24 times

26 times

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in applying the order of operations to solve the compound interest equation?

Multiply the principal by the interest rate

Add 1 to the interest rate divided by the number of compounding periods

Raise the result to the power of the number of compounding periods times the number of years

Subtract the principal from the final amount

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of raising 1.00308 to the power of 1300?

54.48

50.00

70.00

60.00

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important not to round intermediate values during calculations?

To make calculations faster

To avoid using a calculator

To ensure accuracy in the final result

To simplify the process

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the corrected final amount without rounding?

$600,000.00

$700,000.00

$651,166.52

$653,768.37