SOLUTION: 16000(1+r)squared=25000 I know that the value of r is .25 but I found that through trial and error. can you help me figure out the equation used to solve for r and get .25?? thank

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 16000(1+r)squared=25000 I know that the value of r is .25 but I found that through trial and error. can you help me figure out the equation used to solve for r and get .25?? thank      Log On


   



Question 141938: 16000(1+r)squared=25000
I know that the value of r is .25 but I found that through trial and error. can you help me figure out the equation used to solve for r and get .25?? thank you

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
16000(1+r)^2 = 25000
:
Divide both sides by 16000
(1+r)^2 = 25000%2F16000
(1+r)^2 = 1.5625
FOIL
1 + 2r + r^2 = 1.5625
:
r^2 + 2r + 1 - 1.5625 = 0
A quadratic equation:
r^2 + 2r - .5625 = 0
Solve this using the quadratic formula; a=1, b=2, c=-.5625
:
You will get two solutions: r = +.25, and r = -2.25