The equation A = p + prt is used to find the accumulated amount, A, of an investment with principal, p, a certain interest rate,

Question

2 years ago

9

r, and over time, t. What is the value for t, after the equation is rearranged?

2 answers:

skelet666 [1.2K] · Answer 1 · 2022-01-17T09:31:32+03:00

8 0

A=p (1+rt)
T= ((A÷p)-1)÷r

Korvikt [17] · Answer 2 · 2022-01-17T11:48:43+03:00

7 0

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