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A=8000(1+(0.1)/(4))^((4*15))=

A=8000(1+0.14)(4⋅15)= A=8000\left(1+\frac{0.1}{4}\right)^{(4 \cdot 15)}=

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Full solution

Q. A=8000(1+0.14)(4⋅15)= A=8000\left(1+\frac{0.1}{4}\right)^{(4 \cdot 15)}=
  1. Calculate interest rate per period: Calculate the interest rate per period by dividing the annual rate by the number of periods per year.\newlineCalculation: (0.1)/4=0.025(0.1) / 4 = 0.025
  2. Calculate total number of periods: Calculate the total number of periods by multiplying the number of years by the number of periods per year.\newlineCalculation: 4×15=604 \times 15 = 60
  3. Substitute values and calculate A: Substitute the values into the compound interest formula and calculate A.\newlineCalculation: A=8000×(1+0.025)60A = 8000 \times (1 + 0.025)^{60}\newlineA=8000×(1.025)60A = 8000 \times (1.025)^{60}\newlineA=8000×4.29203A = 8000 \times 4.29203\newlineA=34336.24A = 34336.24

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