SOLUTION: Please help me solve this problem P=5,500 T=3 years I=1,200 What is the interest rate

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Please help me solve this problem P=5,500 T=3 years I=1,200 What is the interest rate      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 883555: Please help me solve this problem
P=5,500
T=3 years
I=1,200
What is the interest rate

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
How is the interest compounded?

YEARLY COMPOUNDING:
If you deposit $5,500 and interest is 6.8% compounded yearly,
you would have $6,700.03 after 3 years.
Each year, interest would be added amounting to 6.8% of the balance at the start of the year.
Starting with $ P , with a rate of r=%226.8+%25%22=0.068 ,
you would get P%2Ar added as interest at the end of the year,
for a total new balance of P%2BP%2Ar=P%281%2Br%29=5500%2A1.068=5874 .
The next year, the process repeats, but now the whole $5874=P%281%2Br%29 is earning interest.
Again, you end the year with %281%2Br%29=1.068 times the starting balance,
so you end the second year with P%281%2Br%29%5E2=5874%2A1.068=about3273.43 .
The third year you end up with P%281%2Br%29%5E3=about3273.43%2A1.068=about6700.02 .
In general, after 3 years, you have earned a total of $I interest, and
P%2BI=P%2A%281%2Br%29%5E3 , so
%28P%2BI%29%2FP=%281%2Br%29%5E3 , so in this case
%285500%2B1200%29%2F5500=6700%2F5500=%281%2Br%29%5E3--->1%2Br=root%283%2C6700%2F5500%29=1.068 (rounded).
So r=1.068-1=0.68=%226.8+%25%22