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Lesson 48 · Simple vs compound
The tortoise and the snowball
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The tortoise and the snowball

Same deposit, same rate, two paths. Simple interest adds the same flat rent every year — a straight line. Compound interest re-invests each year's rent — a curve that bends upward. In year one they tie exactly. After that, compound pulls ahead: slowly at first, then unstoppably. Over a few years the gap is pocket change; over a few decades it is the whole fortune.

This lesson asks you to see BOTH paths on one deposit: estimate who wins, compute the simple balance, then put an exact number on compound's edge. Watch that gap as the years stack — it more than doubles every year it is given. That accelerating gap is the entire reason the word compound exists.

PrIt

I=P r tI = P \, r \, t

  • II= Interest earned
  • PP= Principal
  • rr= Interest rate per period (decimal)
  • tt= Number of periods
Simple Interest solver →
PArnt

A=P(1+rn)ntA = P \left( 1 + \frac{r}{n} \right)^{n t}

  • AA= Final amount
  • PP= Principal
  • rr= Interest rate per period (decimal)
  • nn= Compounds per period
  • tt= Number of periods
Compound Interest (Periodic) solver →