Math Problem Statement
Benjamin invested $1930 at an annual rate of 4% simple interest. After 8 8 years, withdraws all the money.
How much does he receive?
Solution
To calculate the amount Benjamin receives after 8 years with simple interest, we use the simple interest formula:
Where:
- is the principal amount ($1930)
- is the annual interest rate (4% or 0.04)
- is the time in years (8 years)
First, calculate the simple interest:
Now, add the interest to the principal to find the total amount:
Benjamin receives $2548.40 after 8 years.
Would you like more details or have any questions?
Here are 8 related questions:
- What would be the total amount if the interest rate was 5% instead of 4%?
- How would the total amount change if the investment period was 10 years instead of 8?
- What is the difference between simple interest and compound interest?
- How much interest would Benjamin earn if the principal was $2500 instead of $1930?
- What is the formula for compound interest and how does it differ from the simple interest formula?
- How would the final amount differ if interest were compounded annually instead of being simple interest?
- How much would Benjamin have received if the interest rate was 3% instead of 4%?
- If Benjamin withdrew half of the investment after 4 years, how much would he have received after 8 years?
Tip: When dealing with simple interest, remember that the interest is calculated only on the principal amount, not on any accumulated interest.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Financial Mathematics
Formulas
Simple Interest formula
Theorems
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Suitable Grade Level
Grades 7-9