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27=p(1+r3) solve for r

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Final answer:

To solve the equation 27=p(1+r3) for r, divide both sides by p, take the cube root, and subtract 1.

Step-by-step explanation:

To solve the equation 27 = p(1 + r)^3 for r, we need to isolate r. Here's the step-by-step solution:

  1. Divide both sides of the equation by p: 27/p = (1 + r)^3
  2. Take the cube root of both sides: (27/p)^(1/3) = 1 + r
  3. Subtract 1 from both sides: (27/p)^(1/3) - 1 = r

Therefore, the value of r is (27/p)^(1/3) - 1.

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