Questions and Answers
What will be the yearly expenditure on children’s education if the monthly expenditure is increased by 5%?
If C's original monthly expenditure was $12600, what will be his monthly expenditure after a 5% increase?
What is the percentage increase in yearly expenditure if the monthly expenditure increases by 5%?
If C's current yearly expenditure on children’s education is $126000, what will it be after a 5% increase in monthly expenditure?
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Which of the following represents the calculation to find the new yearly expenditure after a 5% increase on a $12600 monthly expenditure?
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What is the value of $(10)^{24} × (10)^{-21}$?
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If you multiply $(10)^{24}$ by $(10)^{-21}$, what is the exponent of 10 in the final result?
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Which operation is used to combine the powers of 10 in the expression $(10)^{24} × (10)^{-21}$?
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What is the simplified form of $(10)^{24 - 21}$?
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What is the numerical value of $(10)^{3}$?
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Study Notes
Monthly and Yearly Expenditure Calculation
- Monthly expenditure on children’s education is increased by 5%.
- To determine yearly expenditure, find the monthly expenditure and multiply by 12.
- The options provided for potential yearly expenditure include various amounts, ranging from thousands to millions.
Understanding Percentage Increase
- A 5% increase means multiplying the original monthly expenditure by 1.05.
- This is essential to calculate the updated monthly expenditure before converting it to yearly totals.
Selection of Options
- Options for yearly expenditure include:
-
158760 -
1587600 -
13230 -
132300
-
- Assess whether any of these options could logically result from the increased monthly expenditure.
Problem-Solving Mechanics
- Consider common scenarios to derive the original monthly expenditure from given yearly totals.
- Test each option to verify if the increase leads to realistic and mathematically feasible results.
Monthly Expenditure Calculation
- Increased monthly expenditure on children's education by 5% leads to a new yearly expenditure calculation.
- Initial yearly expenditure must be derived from the monthly amount before increase.
- Total yearly expenditure = Monthly expenditure × 12 months.
Expenditure Options
- Potential yearly expenditure values provided for analysis:
- ` 158760
- ` 1587600
- ` 13230
- ` 132300
- None of these options reflected the correct calculation.
Exponential Calculation
- The expression (10)24 × (10)–21 simplifies to a single base of 10.
- Use rule of exponents: a^m × a^n = a^(m+n).
- This results in 10^(24-21) or 10^3.
Answer Options for Exponential Calculation
- Possible numerical answers for the simplified expression:
- 3
- 10
- 100
- 1000
- None of these options may be valid.
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Description
Test your knowledge on financial calculations by determining the yearly expenditure on children's education after a 5% increase in monthly expenditure. Assess your understanding of percentages and budgeting in this quiz.
