SOLUTION: Find the balance of the account. The problem is: $3,800 principal earning 2% compounded quarterly after 7yrs. I understand how to figure an equation that earns annually but not

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Find the balance of the account. The problem is: $3,800 principal earning 2% compounded quarterly after 7yrs. I understand how to figure an equation that earns annually but not      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 17: Find the balance of the account.
The problem is: $3,800 principal earning 2% compounded quarterly after 7yrs.
I understand how to figure an equation that earns annually but not sure what # to use for quarterly interest
Tk you

Answer by AnlytcPhil(1806) About Me  (Show Source):
You can put this solution on YOUR website!
Find the balance of the account. The problem is: $3,800 principal earning 2%
compounded quarterly after 7yrs. I understand how to figure an equation that
earns annually but not sure what # to use for quarterly interest Tk you
---------------------------
The formula is
A+=+P%2A%281%2Br%2Fn%29%5E%28n%2At%29
where
A = balance in the account after t years
P = the original (starting) amount in the account
r = the interest rate expressed as a decimal, not a percent
n = the number of times per year the interest is accrued
t = the number of years
In your problem
A = ?
P = $3800, starting amount
r = .02 (2% expressed as a decimal)
n = 4 (times a year, since it's compounded quarterly)
t = 7 (the number of years
A+=+P%2A%281%2Br%2Fn%29%5E%28n%2At%29
becomes
A+=+%283800%29%2A%281+%2B+0.02%2F4%29%5E%284%2A7%29
A = $4360.515918 which rounded to the nearest penny is $4360.52
Edwin J