Free SACE Year 11 General Mathematics Flashcard Review
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What does simple interest use as its base?
The original principal throughout: I = Prt.
How do you calculate total accumulated simple-interest value?
A = P + Prt, before fees.
How do you find principal from simple interest?
P = I/(rt), with matching time and rate units.
Why does compound interest grow faster over multiple periods?
Retained interest earns interest in later periods.
What is the compound-interest formula?
A = P(1 + i)ⁿ, where i and n use the same period.
How is present value found?
P = A/(1 + i)ⁿ.
What is an effective annual rate?
The actual one-year compound growth rate: (1 + j/m)ᵐ − 1.
How can technology find a duration?
Generate balances until the target is reached; check the preceding period.
What is net sale proceeds?
Share quantity × sale price minus sale brokerage.
How is dividend income calculated?
Quantity × dividend per share; or quantity × stated price × dividend yield.
How is holding-period percentage return calculated?
Net profit including dividends divided by total purchase outlay, times 100.
What should a credit comparison include?
Interest, all fees, total repayments, timing, conditions and consequences of missed payments.
What is 1 m² in cm²?
10 000 cm².
What is 1 m³ in litres?
1000 L.
How is percentage error calculated?
Absolute error ÷ accepted value × 100%.
What is normalised scientific notation?
a × 10ⁿ where 1 ≤ a < 10.
State Pythagoras.
c² = a² + b² for a right triangle with hypotenuse c.
What is trapezium area?
Half the sum of parallel sides times perpendicular height.
What is sector area?
θ ÷ 360 × πr² for θ in degrees.
State Simpson’s rule for two equal intervals.
A ≈ h(y₀ + 4y₁ + y₂) ÷ 3.