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Use ANNEXURE A and the information above to answer the questions that follow - NSC Mathematical Literacy - Question 1 - 2017 - Paper 2
Question 1
Use ANNEXURE A and the information above to answer the questions that follow. 1.1.1 Communication costs decreased by 4,402% from 2015 to 2016. Calculate (to the nea... show full transcript
Worked Solution & Example Answer:Use ANNEXURE A and the information above to answer the questions that follow - NSC Mathematical Literacy - Question 1 - 2017 - Paper 2
Step 1
1.1.1 Calculate (to the nearest thousand rand) the communication costs for 2016.
Answer
To find the communication costs for 2016, we can use the formula:
Decrease amount = ( 4.402% \times \text{2015 Communication Cost} )
Using 2015 costs:
Decrease amount = ( \frac{4.402}{100} \times R32 187 \approx R1 416.87 )
Thus, communication costs for 2016 are:
[ R32 187 - R1 416.87 \approx R30 770 \text{ (rounded to the nearest thousand)} ]
Step 2
1.1.2 Explain what possible impact a weakening of the rand will have on their total profit for the year.
Answer
A weakening rand means that the cost of imports increases, leading to higher expenses for product testing materials and consumables. As SANBS imports 75% of these materials, this significant reliance on foreign goods means that any increase in import costs will directly decrease their overall profit margin. This could result in a need to raise donor prices or find alternative funding to maintain profitability.
Step 3
1.1.3 Compare, showing ALL calculations, the 2015 and 2016 percentage profit for the SANBS.
Answer
To find the percentage profit, we will use the percentage profit formula:
[ \text{Percentage profit} = \left( \frac{\text{Annual Total Profit}}{\text{Total Annual Primary Income}} \right) \times 100 ]
For 2015:
- Assume an annual profit of ( X_{2015} ) and total income of ( Y_{2015} ).
- Percentage profit 2015 = ( \frac{X_{2015}}{Y_{2015}} \times 100 )
For 2016:
- Assume an annual profit of ( X_{2016} ) and total income of ( Y_{2016} ).
- Percentage profit 2016 = ( \frac{X_{2016}}{Y_{2016}} \times 100 )
Calculating both will provide the comparison.
Step 4
Calculate the total income tax this director has to pay on his annual taxable income.
Answer
To find the total income tax:
Using the tax brackets provided in ANNEXURE B, we should calculate:
- The income tax amount from the applicable tax bracket for the taxable income of R633 000.
- Apply the rates progressively as per the guidelines in the annexure to find the total income tax owed.
Step 5
Calculate, showing ALL calculations, the targeted number of blood donors in this age group for 2018.
Answer
Starting with the current number of blood donors in 2016, we apply the growth rate for two years:
For 2017: [ 110,000 \times (1 + 0.096) = 120,560 ]
For 2018: [ 120,560 \times (1 + 0.096) \approx 132,134 ]
Thus, the targeted number of blood donors for 2018 is approximately 132,134.
Step 6
1.4.1 Give a possible explanation for including an 'Unknown' category as a racial group.
Answer
Including an 'Unknown' category in racial composition allows for data accuracy as it accounts for individuals who prefer not to disclose their race, ensuring that all donors can be included and fostering inclusivity.
Step 7
Step 8
1.4.3 Explain why it cannot be said with certainty that the number of Asian donors remained the same from 2014 to 2016.
Answer
Since the visual representation is based on estimation and rounding, it might not accurately reflect small changes in the actual count of Asian donors, making it impossible to conclude the actual number has remained consistent.
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