Math  /  Algebra

QuestionSolve the following formula for t . C=J(1+t)C=J(1+\mathrm{t})
The solution is t=\mathrm{t}= \square (Simplify your answer.)

Studdy Solution

STEP 1

1. The equation C=J(1+t) C = J(1 + t) involves solving for the variable t t .
2. All variables C C and J J are real numbers.
3. J0 J \neq 0 to avoid division by zero.

STEP 2

1. Isolate the term containing t t .
2. Solve for t t by manipulating the equation algebraically.

STEP 3

Start with the given equation: C=J(1+t) C = J(1 + t)

STEP 4

Divide both sides of the equation by J J : CJ=1+t \frac{C}{J} = 1 + t

STEP 5

Subtract 1 from both sides of the equation to isolate t t : t=CJ1 t = \frac{C}{J} - 1
The solution for t t is: t=CJ1 t = \frac{C}{J} - 1

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