Question

Solve for (r):

[ V = C(1 + r)² ]
A) ( r = √V/C )
B) ( r = V - C/C )
C) ( r = √V/C - 1 )
D) ( r = V/C - 1 )

Answer 1

To solve V = C(1 + r)² for r, divide both sides by C, take the square root of both sides, and then subtract 1 from both sides to isolate r. The correct answer is C) r = √V/C - 1.

Step-by-step explanation:

To solve the equation V = C(1 + r)² for r, we have to isolate r on one side of the equation. To do this we can follow these steps:

1. Divide both sides by C to get V/C = (1 + r)².
2. Take the square root of both sides to get √(V/C) = 1 + r.
3. Subtract 1 from both sides to isolate r, resulting in r = √(V/C) - 1.

Therefore, the correct solution is option C) r = √V/C - 1.