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Calculate the future value of two loans after 3 years, considering compound interest.

Mathematics

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This problem involves calculating the future value of two separate loans and then summing them up. The formula for compound interest is:

A=P(1+im)m⋅nA = P \left(1 + \frac{i}{m}\right)^{m \cdot n}

where:

  • AA is the future value
  • PP is the principal amount
  • ii is the annual interest rate (as a decimal)
  • mm is the number of times interest is compounded per year
  • nn is the number of years

We need to calculate the value of each debt three years from now.

Step 1: Calculate the future value of the first loan.

  • Principal ($P_1
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