Compound Interest Problems | Solving for Principal & Rate – Pre-Calc 11, Algebra I, Financial Math

Описание: In this lesson from the MathSupport channel (@mathsupportnow), we continue exploring Compound Interest with three powerful examples. Instead of just calculating future values, we solve for different variables in the compound interest formula — including the principal (P) and the interest rate (r). These examples show how to rearrange the formula, apply roots and exponents, and understand the impact of compounding frequency.

What You’ll Learn:
✅ How to solve for the principal (P) when the accumulated amount (A) is known
✅ How to calculate the interest rate (r) when given A, P, n, and t
✅ How compounding frequency (quarterly, semiannual, annual) changes results
✅ How to use roots and exponents to isolate variables in compound interest equations
✅ Why even small differences in compounding frequency matter over decades

Who Benefits from this Video:
🎯 Grade 10–12 students learning financial math (BC, Canadian, US curricula)
🎯 Students preparing for business, finance, or economics courses
🎯 College-prep and SAT/ACT learners practicing exponential growth problems
🎯 Parents and tutors supporting math learners
🎯 Anyone curious about how banks and investments calculate compound growth

Timestamps:
00:00 – Introduction: Solving for Different Variables in Compound Interest
00:22 – Example 1: How much to invest now to reach $50,000 in 20 years (7.25% quarterly) 02:00 – Solving for Principal (P) Step by Step
03:01 – Example 2: Finding the Interest Rate for $100,000 → $200,000 in 30 yrs(Semiannual)
04:30 – Using Roots to Isolate r (60th Root Example)
06:40 – Converting r to a Percentage Rate
07:30 – Example 3: Comparing Semiannual vs Annual Compounding Rates
08:20 – Why 2.32% vs 2.34% Makes a Difference Over Time
09:45 – Key Takeaways: Compounding Frequency & Long-Term Growth

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More Video Lessons to Review:    • Compound Interest Formula & Doubling Time ...  
   • Simple Interest Applications | Future Valu...  

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