Question

The equation A = p + prt is used to find the accumulated amount, A, of an investment with principal, p, a certain interest rate, r, and over time, t. What is the value for t, after the equation is rearranged?

Answer 1

A=p (1+rt)
T= ((A÷p)-1)÷r

Answer 2

Answer:

$t=\frac{A}{pr}-\frac{1}{r}$

Step-by-step explanation:

The equation given is $A=p+prt$

Doing some algebra manipulation, we can solve for $t$:

$A=p+prt\\prt=A-p\\t=\frac{A-p}{pr}\\t=\frac{A}{pr}-\frac{p}{pr}\\t=\frac{A}{pr}-\frac{1}{r}$

So $t=\frac{A}{pr}-\frac{1}{r}$