A bank account earns 5% annual interest compounded annually. If $1,000 is deposited, what will be the balance after 3 years?
["Title: How Compound Interest Boosts Your Bank Account: Earning 5% Annually on $1,000 Over 3 Years", "---", "Introduction\nUnderstanding how interest compounds in a bank account is key to maximizing your savings. If you’ve deposited $1,000 into a savings account earning 5% annual interest compounded annually, knowing how much your money grows over time helps you make informed financial decisions. In this article, we’ll break down how compound interest works and calculate the balance after 3 years.", "---", "Understanding Compound Interest\nCompound interest means the interest you earn isn’t just on your initial deposit—it’s added to your principal, so future interest is calculated on the new, higher balance. When compounded annually, interest is added exactly once per year, growing your money faster over time.", "---", "The Formula\nThe formula for compound interest is:", "[\nA = P \left(1 + \frac{r}{n}\right)^{nt}\n]", "Where:\n- ( A ) = final amount\n- ( P ) = principal (initial deposit)\n- ( r ) = annual interest rate (as a decimal)\n- ( n ) = number of compounding periods per year\n- ( t ) = number of years", "For this scenario:\n- ( P = 1000 )\n- ( r = 5% = 0.05 )\n- ( n = 1 ) (compounded annually)\n- ( t = 3 )", "---", "Calculation: What’s the Balance After 3 Years?", "Substitute values into the formula:", "[\nA = 1000 \left(1 + \frac{0.05}{1}\right)^{1 \ imes 3} = 1000 \left(1.05\right)^3\n]", "Calculate ( 1.05^3 ):", "[\n1.05^3 = 1.157625\n]", "Now multiply by the principal:", "[\nA = 1000 \ imes 1.157625 = 1157.625\n]", "---", "Final Balance\nAfter 3 years, your $1,000 deposit will grow to $1,157.63 (rounded to the nearest cent). That’s a $157.63 increase driven entirely by compound interest.", "---", "Why Starting Early Matters\nEven small deposits grow significantly over time when compounded annually. For example, depositing $1,000 annually would yield more than depositing it all at once, thanks to compounding on every deposit. Starting early can dramatically boost retirement savings and long-term wealth.", "---", "Conclusion\nA bank account earning 5% annual interest compounded yearly doubles your savings slower than simple interest—thanks to compounding. With $1,000 invested, you’ll have over $1,157 after just 3 years. Understanding how compound interest works empowers smarter saving habits and better financial planning.", "---", "Key Keywords for SEO:\nbank account interest, compound interest calculation, 5% annual interest, how compound interest works, $1,000 investment growth, annual compounding formula, savings accounting, future value of money, money growth over time."]
