Math Problem Statement
Solution
The problem involves calculating simple interest on a loan. Here's how we can proceed:
Given:
- Principal (P) = $5000
- Interest rate (r) = 3% annually = 0.03
- Time (t) = 6 years
(a) To find the total interest Jessica will have to pay, use the formula for simple interest:
Substituting the values: So, Jessica will have to pay $900 in interest.
(b) To find the total repayment amount (including interest), use the formula:
Substituting the values: So, the total repayment amount, including interest, will be $5900.
Would you like more details or have any questions about this process?
Related Questions:
- How does the formula for simple interest differ from compound interest?
- What are the key factors affecting the amount of interest in a simple interest loan?
- How would the interest and repayment change if the interest rate were higher?
- What other types of loans might use simple interest rather than compound interest?
- How can you calculate the interest if you are paying it monthly instead of at the end?
Tip: Always ensure that your time (t) is in the correct unit (years) when calculating interest!
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Financial Mathematics
Formulas
Simple Interest Formula: I = P * r * t
Total Repayment: Total Repayment = P + I
Theorems
Simple Interest Theorem
Suitable Grade Level
Grades 9-12
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