Syeda is planning to invest $⁢8,000 for 6 years. Investment Option A offers a 3.15% annual interest rate compounded quarterly, while Option B offers the same rate but compounded daily. What is the exact total amount Syeda will have in each investment option after 6 years? Compound Interest Formula: A=P⁢(1+(r)/(n))^n⁢t

Use the compound interest formula with P = 8,000, r = 0.0315, and t = 6. For Option A, quarterly compounding means n = 4, so 8,000(1 + 0.0315/4)^(4×6) rounds to $9,657.18. For Option B, daily compounding means n = 365, so 8,000(1 + 0.0315/365)^(365×6) rounds to $9,664.25. These amounts match choice C; daily compounding gives a slightly higher total.

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