Flashcard: Mastering Percentage Changes and Growth Calculations — 16 carte

Percentage Increase Factor — definition?

Multiplier representing percentage increase, 1 + (percentage/100).

Change factor for 15% increase?

1.15.

Sequential increases — method?

Multiply their change factors.

Compound Growth — mechanism?

Repeated percentage increases, exponential effect.

Growth factor for 10%?

1.10.

Final price after discounts?

Original × product of discount factors.

Successive discounts — effect?

Multiplicative reduction, not additive.

Investment growth over time?

Multiply initial by growth factors for each period.

Depreciation — definition?

Reduction in asset value over its useful life.

Asset value after 3 years at 10%?

Initial × (0.90)^3.

Multiplicative change — meaning?

Product of sequential change factors.

Population after 5% increase yearly?

Initial × (1.05)^years.

Tax after discount — sequence?

Apply discount first, then add VAT.

Order effect on final price?

Discount then tax usually lower than tax then discount.

Total percentage change — method?

Multiply change factors, subtract 1, then convert to %.

Key in percentage calculations?

Convert percentages to decimal change factors.