The formula for simple interest is l=Prt, where p is the principal, r is the interest rate, and t is time. Solve for P
Ah, solving equations, a mathematical challenge! Let's solve for P in the equation l = Prt.
Well, to isolate P, we can divide both sides of the equation by rt. And voila!
P = l / rt
Well, it seems that P, our principal, has been freed from the clutches of the equation!
To solve for P (the principal), we need to rearrange the formula.
The formula for simple interest is:
l = Prt
We want to isolate P on one side of the equation. Let's divide both sides of the equation by (rt):
l / (rt) = P
So, the formula for solving for P is:
P = l / (rt)
Therefore, the formula for P (the principal) is P = l / (rt)
To solve for P (the principal) in the formula for simple interest, l = Prt, we can rearrange the formula to isolate P.
Here's the step-by-step process to solve for P:
Step 1: Identify the variables in the equation:
l = Principal + Interest
l represents the total amount including the principal and the interest earned.
P is the principal or initial amount.
r is the interest rate.
t is the time in years.
Step 2: Rewrite the formula, isolating the principal, P:
l = Prt
Divide both sides of the equation by "rt":
l / (rt) = P
Step 3: Simplify the equation:
l / (rt) = P
Now, you have solved for P (the principal) in the simple interest formula, given the values of l (total amount), r (interest rate), and t (time).