Math Problem Statement
Suppose you want to have $300,000 for retirement in 25 years. Your account earns 6% interest. a) How much would you need to deposit in the account each month? b) How much interest will you earn?
Solution
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Math Problem Analysis
Mathematical Concepts
Future Value of Annuity
Compound Interest
Algebra
Formulas
Future Value of Annuity Formula: FV = P × [(1 + r)^n - 1] / r
Monthly Deposit Formula: P = [FV × r] / [(1 + r)^n - 1]
Total Contributions = P × n
Interest Earned = FV - Total Contributions
Theorems
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Suitable Grade Level
Grades 10-12
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