Mathematics Applications ATAR Unit 1

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Questions and Answers

John invests $5,000 in an account that earns simple interest at a rate of 3% per year. How much interest will he earn after 4 years?

  • $750
  • $200
  • $150
  • $600 (correct)

Compound interest always results in a higher return than simple interest over the same period, assuming the same principal and interest rate.

True (A)

If you exchange $1,000 AUD to USD at an exchange rate of 0.75, how many USD will you receive?

750

When creating a budget, the difference between total income and total expenses is known as ________.

<p>surplus/deficit</p> Signup and view all the answers

Match the matrix operation with its description:

<p>Addition = Combining matrices by adding corresponding elements Subtraction = Finding the difference between corresponding elements of matrices Multiplication = A more complex operation involving rows and columns of matrices</p> Signup and view all the answers

What is the unit price of a 5kg bag of rice that costs $12.50?

<p>$2.50/kg (A)</p> Signup and view all the answers

Youth Allowance eligibility is solely based on the applicant's income.

<p>False (B)</p> Signup and view all the answers

If a share is purchased for $10 and then sold for $12, what is the capital gain per share?

<p>2</p> Signup and view all the answers

An investment of $2,000 earns compound interest at a rate of 5% per year. What will be the approximate value of the investment after 3 years?

<p>$2,315 (D)</p> Signup and view all the answers

In matrix operations, matrices can only be added or subtracted if they have the same ________.

<p>dimensions/size</p> Signup and view all the answers

Flashcards

Simple Interest

Interest calculated only on the principal amount.

Compound Interest

Interest calculated on the principal and accumulated interest.

Unit Price

The price of a single unit of a product.

Budget

An estimation of revenue and expenses over a specified period of time.

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Exchange Rate

The value of one currency expressed in terms of another currency.

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Shares

A unit of ownership in a corporation.

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Matrix

A rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

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Youth Allowance

A payment from the government to young Australians who meet certain criteria.

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Study Notes

  • Unit 1 Mathematics Applications ATAR covers several key financial and mathematical concepts.

Youth Allowance

  • Explores the criteria and calculations involved in Youth Allowance eligibility.

Simple Interest

  • Simple interest calculations are covered.
  • Problems involve calculating interest earned on a principal amount.

Compound Interest

  • Focuses on compound interest calculations, where interest is reinvested.
  • Problems include determining the future value of an investment.

Unit Price & Budgets

  • Examines the calculation of unit prices and the creation of budgets.
  • Budgeting involves managing income and expenses.

Exchange Rates

  • Looks at currency exchange rates and their applications.
  • Problems may include converting amounts between different currencies.

Shares

  • Explores the concepts related to shares, including investments.

Matrices

  • Introduces matrices and their operations.
  • Matrix operations include addition, subtraction, and multiplication.

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