Math Problem Statement
Find the amount of interest for a 16-year investment of $6500 at a simple annual rate of 2.40%.
State your answer in terms of dollars rounded to the nearest cent, but do not include a $ sign or the word "dollars" with your response.
Find the amount of interest for a 16-year investment of $6500 at a simple annual rate of 2.40%.
State your answer in terms of dollars rounded to the nearest cent, but do not include a $ sign or the word "dollars" with your response.
Solution
To find the amount of interest for a 16-year investment using simple interest, we use the formula:
where:
- is the interest,
- is the principal (initial investment),
- is the annual interest rate (in decimal form),
- is the time in years.
Given:
- ,
- ,
- years.
Substitute the values into the formula:
Now, let's calculate the interest.The amount of interest for the 16-year investment is 2496.00.
Would you like more details or have any further questions?
Here are 5 related questions to deepen your understanding:
- How would the interest change if the investment period was 20 years instead of 16?
- What would the interest be if the annual rate was 3%?
- How is simple interest different from compound interest?
- How can you calculate the total amount (principal + interest) at the end of the investment period?
- If the principal was $7000 instead of $6500, how much interest would be earned over 16 years?
Tip: Always express percentages as decimals when using them in calculations (e.g., 2.4% becomes 0.024).
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Percentage
Algebra
Formulas
I = P × r × t (Simple Interest Formula)
Theorems
Simple Interest Theorem
Suitable Grade Level
Grades 9-12
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