Monthly Expenditure Calculations

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?

Which of the following represents the calculation to find the new yearly expenditure after a 5% increase on a $12600 monthly expenditure?

What is the value of $(10)^{24} × (10)^{-21}$?

If you multiply $(10)^{24}$ by $(10)^{-21}$, what is the exponent of 10 in the final result?

Which operation is used to combine the powers of 10 in the expression $(10)^{24} × (10)^{-21}$?

What is the simplified form of $(10)^{24 - 21}$?

What is the numerical value of $(10)^{3}$?

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.

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.