Compound Interest (Using Formula)
ICSE · Class 9 · Mathematics
Quick revision notes for Compound Interest (Using Formula) — ICSE Class 9 Mathematics. Key concepts, formulas, and definitions for last-minute revision.
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See them allKey Topics to Revise
1. Core idea and direct formula
- Amount means the total money after interest is added.
- Principal means the original sum of money.
- Compound interest is the extra money earned over the principal.
2. Amount when rates are different in successive years
- When the rate changes from year to year, each year is treated separately.
- The first year's amount becomes the principal for the next year.
- Multiply the yearly growth factors in order.
3. Finding principal, rate, and time
- The formula can be rearranged to find principal, rate, or time.
- If amount and time are known, principal can be found by dividing back through the growth factor.
- If principal and amount are known, the rate can be found by comparing the growth factor to a known power.
4. Age and sharing problems
- Age-based sharing problems depend on the number of years left until a common target age.
- Each person's investment grows for a different number of years.
- The person with fewer years to grow needs a larger initial share if both final amounts are equal.
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