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Super calculations from simple to compound
Part 1: Calculating the balance of a super fund with repeated application of simple interest paid annually
Set up a spreadsheet to complete the missing information in table 1.
There are some assumptions that have been made:
The individual is 10 years off retirement.
Interest is credited annually (in reality, super funds credit interest more frequently, so the super balance will grow more).
No fees have been included in the…
WorksheetMathematicsYear 10Compounding super calculations
Calculating the balance of a super fund with interest paid annually and monthly
Set up 2 spreadsheets to complete the missing information in table 1 and table 2.
Information for setting up your spreadsheet on compound interest
Compounded annually
Principal ($)
Interest rate (%)
(annually)
Time
(in years)
New account balance
Interest…
WorksheetMathematicsYear 10Applying linear and quadratic functions
You have been asked to give business advice for the following 2 businesses to help them make decisions that will maximise their profit. In particular, each business wants to know:
The best sale price to maximise profit.
The number of units they should produce to maximise profit.
Total sales in dollars when profit is maximised.
The cost of producing this number of units
The profit they will make.
At what price/s they will make zero profit…
InvestigationMathematicsYear 9How much super will you need?
What is super?Currently employers in Australia must, by law, pay into a super fund, super to their eligible employees to the tune of 11% of the employee's ordinary time earnings. This is called the superannuation guarantee (SG).Ordinary time earnings are what you generally earn for ordinary hours of work; it includes over-award payments, bonuses, allowances and some paid leave. Overtime is not included.In Australia, super was made compulsory to…
ExplainerMathematicsYear 10What type of tax is this?
Average rate of taxFor each income in table 1, calculate the average rate of tax paid. Decide if the tax is proportional, regressive or progressive and predict the impact of the tax income distribution.Table 1: Types of tax and their effect on equity in the distribution of incomeAnnual incomeTax 1 (amount of tax paid)ARTTax 2 (amount of tax paid)ARTTax 3 (amount of tax paid)ART$60,000$10,000$4,000$8,000$120,000$20,000$12,000$6,000Type of tax:…
WorksheetMathematicsYear 9What type of tax is this? - Solutions
Average rate of taxFor each income in table 1, calculate the average rate of tax paid. Decide if the tax is proportional, regressive or progressive and predict the impact of the tax income distribution.Table 1: Types of tax and their effect on equity in the distribution of incomeAnnual incomeTax 1 (amount of tax paid)ARTTax 2 (amount of tax paid)ARTTax 3 (amount of tax paid)ART$60,000$10,00016.7%$4,0006.7%$8,00013.3%$120,000$20,00016.7%$12,00010…
WorksheetMathematicsYear 9Graphing distribution and correlation
Linked activity:
Graphing and analysing the distribution of superannuation data
VisualiserMathematicsYear 9