Math Problem Statement
What amount of money was borrowed on July 17, 2010, if the final amount is $6,370.72 paid off on November 25, 2018, with a 2.9% interest rate compounded monthly?
Solution
The problem presented in the image asks for the amount of money borrowed on July 17, 2010, based on a final loan amount of $6,370.72 paid off on November 25, 2018, with a 2.9% interest rate compounded monthly.
Step-by-step solution:
-
Formula: The formula for compound interest is:
Where:
- is the final amount ($6,370.72).
- is the principal amount (what we need to find).
- is the annual interest rate (2.9% or 0.029).
- is the number of times the interest is compounded per year (monthly, so ).
- is the time in years (from July 17, 2010, to November 25
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Math Problem Analysis
Mathematical Concepts
Compound Interest
Exponential Functions
Algebra
Formulas
A = P (1 + r/n)^(nt)
Theorems
Compound Interest Formula
Suitable Grade Level
Grades 10-12
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