Princeton Review

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Math Example--Math of Money--Compound Interest: Example 20

Math Example--Math of Money--Compound Interest: Example 20

Compound Interest Example 20

Topic

Math of Money

Description

This example calculates compound interest for a $1000 investment with a 5% interest rate, compounded twice a year over 10 years. The formula used is A = P(1 + r/n)nt. Given P = 1000, r = 0.05, n = 2, and t = 10, the calculation results in $1638.62.

Understanding compound interest is crucial for financial literacy. This example demonstrates semi-annual compounding and its effect on investment growth compared to other frequencies. By exploring various scenarios, students learn how different compounding intervals influence financial outcomes.

Providing multiple examples helps students understand the nuances of compound interest calculations. They can observe patterns and recognize how changes in frequency impact results, which enhances their problem-solving abilities.

Teacher Script: "Today we'll calculate compound interest using semi-annual compounding on a $1000 investment at a 5% rate for 10 years. Observe how this impacts your total return compared to other compounding frequencies."

For a complete collection of math examples related to Compound Interest click on this link: Math Examples: Compound Interest Collection.

Common Core Standards CCSS.MATH.CONTENT.7.RP.A.3, CCSS.MATH.CONTENT.HSF.LE.A.1, CCSS.MATH.CONTENT.HSF.IF.C.8.B
Grade Range 8 - 12
Curriculum Nodes Algebra
    • Exponential and Logarithmic Functions
        • Compound Interest
Copyright Year 2013
Keywords interest, compound interest, math of money