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

`t=(A)/(pr)-(1)/(r)`

Explanation:

The equation given is
`A=p+prt`

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

`A=p+prt\\prt=A-p\\t=(A-p)/(pr)\\t=(A)/(pr)-(p)/(pr)\\t=(A)/(pr)-(1)/(r)`

So
`t=(A)/(pr)-(1)/(r)`