Math Problem Statement
Solution
To solve this, I’ll use the formula for simple interest and compound interest based on the type of interest rate implied. Let’s walk through each row in detail.
Simple Interest Formula:
For the cases with simple interest, the formula is: where:
- = Future/Maturity Value
- = Principal/Present Value
- = Interest Rate per period
- = Time in periods
The Interest Amount can be calculated by subtracting the principal from the maturity value:
Analysis of Each Row:
Row 1:
- Given: , per month, months
- Objective: Future Value ()
The Future Value should be $16,616.40.
Row 2:
- Given: , per year, months
- Objective: Interest Amount
Assuming simple interest for 4 months (1/3 of a year): The Interest Amount would be $63,978.30 - 61,910 = 2,068.30.
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Math Problem Analysis
Mathematical Concepts
Simple Interest
Compound Interest
Algebra
Formulas
Simple Interest: A = P * (1 + r * t)
Compound Interest: A = P * (1 + r)^t
Interest Amount: Interest = A - P
Theorems
-
Suitable Grade Level
Grades 10-12
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