Question

PLEASE HELP! Solve for t: A=P (1+rt)

Answer 1

A = P( 1 + rt)

A = P + Prt

A - P = Prt

(A - P)/Pr = t

Answer 2

Here are the steps to follow when it comes to solving for t. This is not the only way to do so

Step 1) A = P*(1+rt)

Step 2) A = P*(1)+P*(rt)

Step 3) A = P+P*(rt)

Step 4) A-P = P+P*(rt)-P

Step 5) A-P = P*(rt)

Step 6) A-P = t*(Pr)

Step 7) (A-P)/(Pr) = (t*(Pr))/(Pr)

Step 8) (A-P)/(Pr) = t

Step 9) t = (A-P)/(Pr)

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and here are the explanations for each step

Step 1) Nothing to do here. This is the original equation

Step 2) Distribute the outer P term into each inner term (1 and rt)

Step 3) Multiply P and 1 to get P*(1) = P

Step 4) Subtract P from both sides

Step 5) Simplify. Note how the P-P on the right side becomes 0P = 0 which goes away on the right side

Step 6) Rearrange the terms on the right side to go from P*(rt) to t*(Pr). 

Step 7) Divide both sides by Pr.

Step 8) Simplify. The Pr term on the right side divides with itself to get 1. Because 1 times anything is itself, we effectively have Pr cancel out and go away.

Step 9) Flip the equation so that the t is on the left side

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The answer is t = (A-P)/(Pr) which can be written as $t = \frac{A-P}{Pr}$

The parenthesis in the equation t = (A-P)/(Pr) are important because we are specifying that we are dividing all of "A-P" all over all of "Pr"