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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:
where:
- is the future value
- is the principal amount
- is the annual interest rate (as a decimal)
- is the number of times interest is compounded per year
- 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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