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Let’s check out your problem:

PV=>1650[(1-[1+0.0068]^(-216))/(0.0068):}

PV⇒1650[1−[1+0.0068]−2160.0068 P V \Rightarrow 1650\left[\frac{1-[1+0.0068]^{-216}}{0.0068}\right.

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Full solution

Q. PV⇒1650[1−[1+0.0068]−2160.0068 P V \Rightarrow 1650\left[\frac{1-[1+0.0068]^{-216}}{0.0068}\right.
  1. Plug in numbers into formula: First, let's plug in the numbers into the formula: PV=1650[(1−(1+0.0068)−216)/0.0068]PV = 1650\left[\left(1 - \left(1 + 0.0068\right)^{-216}\right) / 0.0068\right].
  2. Calculate exponent: Now, calculate the part inside the brackets starting with the exponent: (1+0.0068)(−216)(1 + 0.0068)^{(-216)}.
  3. Find difference from 11: Using a calculator, we find that (1+0.0068)−216(1 + 0.0068)^{-216} is approximately 0.19670.1967.
  4. Divide result by 0.00680.0068: Subtract this value from 11: 1−0.1967=0.80331 - 0.1967 = 0.8033.
  5. Multiply by 16501650: Now, divide this result by 0.00680.0068: 0.8033/0.0068≈118.13240.8033 / 0.0068 \approx 118.1324.
  6. Multiply by 16501650: Now, divide this result by 0.00680.0068: 0.8033/0.0068≈118.13240.8033 / 0.0068 \approx 118.1324.Finally, multiply this by 16501650 to get the present value: 1650×118.1324≈194918.461650 \times 118.1324 \approx 194918.46.

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