Math Problem Statement
You buy a 5 year 4.7% simple interest rate bond for $1200. How much is it worth after 5 years?
Solution
To find the value of the bond after 5 years, we’ll use the formula for simple interest:
where:
- is the amount (future value of the bond),
- is the principal (initial investment) of $1200,
- is the interest rate of 4.7% (0.047 as a decimal),
- is the time in years, which is 5.
Step-by-Step Solution
-
Substitute the values into the formula:
-
Calculate the interest portion:
-
Add 1 to the interest:
-
Multiply by the principal:
Final Answer
After 5 years, the bond will be worth $1482.
Would you like more details on simple interest calculations, or do you have any questions?
Related Questions
- How would the value change if the bond had compound interest instead?
- What would the final value be if the interest rate was instead 5%?
- How much interest would accumulate if the bond were held for 10 years?
- What is the total interest earned on this bond after 5 years?
- How would the value differ with a 3% interest rate over the same period?
Tip:
When calculating simple interest, always ensure that the rate is in decimal form and the time is in years to match the rate's time period.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Basic Algebra
Formulas
Simple Interest Formula: A = P(1 + rt)
Theorems
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Suitable Grade Level
Grades 9-12
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