SOLUTION: This is a word problem.Three years ago, I depsited $600.00 in my account, and now I have 708.00. What is the interest rate on my account?

Algebra ->  Equations -> SOLUTION: This is a word problem.Three years ago, I depsited $600.00 in my account, and now I have 708.00. What is the interest rate on my account?       Log On


   



Question 390153: This is a word problem.Three years ago, I depsited $600.00 in my account, and now I have 708.00. What is the interest rate on my account?

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
This is a word problem.Three years ago, I depsited $600.00 in my account, and
now I have 708.00. What is the interest rate on my account?
A = P(1 + r%2Fn)nt

A = ending amount = 708
P = beginning amount = 600
r = rate expressed as a decimal (what we are to find)
n = number of times a year the interest is compounded.  
    This is not given, so we assume it to be 1, once a year.
t = time in years = 3

708 = (600)(1 + r%2F1)((1)(3))

708 = 600(1 + r)3

Divide both sides by 600

708%2F600 = (1 + r)3

1.18 =  (1 + r)3

Take cube roots of both sides:

1.056721805 = 1 + r

Subtract 1 from both sides

.056721805 = r

As a percent that's 5.6721805%

Edwin