Math Derivation: Solve for t - Calc 1 Help

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The discussion focuses on solving the equation A = P (1+r)^t + c[ ((1 + r)^(t+1) - (1 + r)) / r ] for the variable t. A participant suggests using the property of exponents to rewrite the equation as (1+r)^(t+1) = (1+r)(1+r)^t, which helps in isolating (1+r)^t. The challenge arises from a long absence from math, making it difficult for the individual to apply their calculus knowledge effectively. The conversation emphasizes the importance of manipulating the equation to isolate t. Overall, the thread aims to provide clarity on solving for t in the given mathematical expression.
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Homework Statement



solve for t

Homework Equations



A = P (1+r)t + c[ ((1 + r)t+ 1 - (1 + r)) / r ]

The Attempt at a Solution



I've taken calc 1, but I've been away from math for years. I'm having trouble solving this for t
 
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ikihi said:

Homework Statement



solve for t

Homework Equations



A = P (1+r)t + c[ ((1 + r)t+ 1 - (1 + r)) / r ]

The Attempt at a Solution



I've taken calc 1, but I've been away from math for years. I'm having trouble solving this for t

Try using ##(1+r)^{t+1} = (1+r) \: (1+r)^t,## then combine terms to isolate ##(1+r)^t.##
 

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