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