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Applying quadratics to business
Linked activity:
Modelling profit and loss with linear and quadratic functions
VisualiserMathematicsYear 9Quadratic functions
Define the following terms in your own words.
Vertex
Line of symmetry
Parabola
Minimum
Maximum
Identify the leading coefficient, middle coefficient and constant in the following functions.
f(x)=x2-4x+4
f(x)=2x2+12x+50
f(x)=2x2+12x+40
f(x)=-x2-3x+4
f(x)=x2-20x+77
f(x)=2x2-5x+7
Question
Leading coefficient
Middle coefficient
Constant
a…
WorksheetMathematicsYear 9Simple versus compound interest
You can either pay or earn interest depending on whether you are borrowing or investing money. The amount of interest you pay or earn depends on the interest rate and the amount of money you borrowed or invested at the outset, or the principal. Interest can be calculated in two ways: simple interest or compound interest.
Simple interest is calculated on the principal, or original, amount of a loan or investment.
Compound interest is calculated…
ExplainerMathematicsYear 10Representing linear and exponential growth
Linked activity:
Simple versus compound interest
VisualiserMathematicsYear 10Growing your money
You have $600 to invest and have 2 options:
Compound Investment
Compound interest rate: 6% per year.
Simple Investment
Simple interest rate: 7% per year
You decide to invest $300 in each account. How much will you have in each account at the end of each year? Show your working.
Years
Value at Compound Investments ($)
Value at Simple Investments ($)
0
300.00
300.00
1
2…
WorksheetMathematicsYear 10Maximising your retirement income
Part 1: Consolidating your superImagine you have 3 different casual jobs over the next few years. Because you didn’t nominate a super fund when you started each job, your employer chose your super fund on your behalf. Each of your 3 employers chose a different fund.Below is a table of your super account balances, returns and costs in the third year.Eva's super accountsCurrent balanceAnnual returnReturnNew balanceAnnual fees and chargesFees…
WorksheetMathematicsYear 10Maximising your superannuation
Let’s apply your learning about superannuation to your own situation!
Step 1: Choose a job
Choose a career that interests you.
Research the salary you can expect to earn. There are several websites that will help. Type ‘job salaries in Australia’ into a search engine.
What can you expect to earn each year?
Step 2: Choose a superannuation fund
If you haven’t already viewed Choosing a super fund, or need a refresher, view it now.…
InvestigationMathematicsYear 10