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Questions and Answers
What will be the population at the end of the tenth year if it decreases by 4% every year starting from 50,000?
What will be the population at the end of the tenth year if it decreases by 4% every year starting from 50,000?
- 30,000
- 40,000
- 34,815 (correct)
- 25,000
The value of a car purchased for $40,000 and losing 15% in value every year will be $15,000 at the end of the fifth year.
The value of a car purchased for $40,000 and losing 15% in value every year will be $15,000 at the end of the fifth year.
False (B)
How many years will it take for a population of 50,000 to double if it increases by 4% every year?
How many years will it take for a population of 50,000 to double if it increases by 4% every year?
18 years
If I invest $1000 now at an interest rate of 4% per year, it will be worth approximately ______ by the end of the 40th year.
If I invest $1000 now at an interest rate of 4% per year, it will be worth approximately ______ by the end of the 40th year.
Match the following financial terms with their descriptions:
Match the following financial terms with their descriptions:
What is the total of $15.92, $27.50, and $56.20?
What is the total of $15.92, $27.50, and $56.20?
A car is typically considered a long-term saving and borrowing item.
A car is typically considered a long-term saving and borrowing item.
If $457 is multiplied by 6, what is the result?
If $457 is multiplied by 6, what is the result?
The conversion of a fraction to a percentage involves multiplying by ______.
The conversion of a fraction to a percentage involves multiplying by ______.
Which expense is typically NOT included in the ongoing costs of owning a car?
Which expense is typically NOT included in the ongoing costs of owning a car?
What is $87,560 divided by 52 to the nearest cent?
What is $87,560 divided by 52 to the nearest cent?
Match the following financial terms with their definitions:
Match the following financial terms with their definitions:
To prepare for an examination, _______ is essential for practicing important skills.
To prepare for an examination, _______ is essential for practicing important skills.
What is 10% of $120?
What is 10% of $120?
25% of a number is equal to 40 means the number is $160.
25% of a number is equal to 40 means the number is $160.
Calculate 15% of $180.
Calculate 15% of $180.
_____ of 250 equals $43.75.
_____ of 250 equals $43.75.
Match the percentage with its equivalent decimal:
Match the percentage with its equivalent decimal:
What is the result of increasing $40 by 25%?
What is the result of increasing $40 by 25%?
12.5% of $180 is equal to $22.50.
12.5% of $180 is equal to $22.50.
20% of _____ = 10 mL.
20% of _____ = 10 mL.
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Study Notes
Population Growth and Decline
- A town's population is expected to decrease by 4% annually, starting with an initial population of 50,000.
- To calculate the decreasing population over time, you can use a calculator by entering 50,000, pressing the equals key, then multiplying by 0.96 and pressing equals repeatedly. Each equals press represents one year of population decrease.
- If the population increases by 4% every year, after ten years, the population will be approximately 71,067.
- If the population decreases by 4% every year, after ten years, the population will be approximately 33,706.
- To double the population with a 4% annual increase, it will take approximately 17 years.
- To halve the population with a 4% annual decrease, it will take approximately 17 years.
Car Depreciation
- A car purchased for 40,000willbeworthapproximately40,000 will be worth approximately 40,000willbeworthapproximately18,154 after five years, depreciating by 15% annually.
Investment Growth
- Investing 1000witha41000 with a 4% annual increase will result in a value close to 1000witha44,801 after 40 years.
Financial Mathematics Concepts
- Understanding percentage changes is crucial in financial mathematics.
- Percentage increases and decreases are used to solve various problems involving population growth, investment returns, and car depreciation.
- Using a calculator effectively can simplify calculations and help visualize these changes over time.
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