Final answer:
To solve A=P+Prt for t, subtract P from both sides to get A - P = Prt, then divide by Pr to isolate t, yielding t = (A - P)/(Pr).
Step-by-step explanation:
We are asked to solve the formula A=P+Prt for the variable t. This equation is typically used to calculate the total amount A after interest has been applied to the principal P over time t, with a rate r. To isolate t, we'll follow these steps:
- Subtract P from both sides of the equation to get A - P = Prt.
- Divide both sides by Pr to get (A - P)/Pr = t.
Now we have t on one side by itself, which gives us the solution: t = (A - P)/(Pr).