Math Problem Statement
Suppose your city is building a new park, and issues bonds to raise the money to build it. You obtain a $3,000 bond that pays 4.2% interest annually that matures in 5 years. How much interest will you earn in total over the 5 years?
Solution
To calculate the total interest earned on the bond over 5 years, you can use the formula for simple interest:
Where:
- Principal is the initial amount of the bond, which is $3,000.
- Rate is the annual interest rate, which is 4.2%, or 0.042 in decimal form.
- Time is the duration in years, which is 5 years.
Substituting the values:
So, the total interest you will earn over the 5 years is $630.
Would you like further details or have any questions?
Here are five related questions you might find useful:
- How would the interest change if the bond matured in 10 years instead of 5?
- What is the total amount you will receive when the bond matures?
- How does compound interest differ from simple interest in this context?
- What would be the effect of a higher interest rate, say 5%, on your earnings?
- How is the bond's interest taxed, and what impact does that have on your net earnings?
Tip: Always ensure you understand whether interest is compounded or simple when calculating returns on investments, as it can significantly impact your total earnings.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Percentage Calculation
Formulas
Interest = Principal × Rate × Time
Theorems
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Suitable Grade Level
Grades 6-8
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