SOLUTION: A company borrows $75,000 which is to be repaid with equal payments semiannually for 10 years. The interest rate is 10%. Find the semiannual payments.

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: A company borrows $75,000 which is to be repaid with equal payments semiannually for 10 years. The interest rate is 10%. Find the semiannual payments.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 147793: A company borrows $75,000 which is to be repaid with equal payments semiannually for 10 years. The interest rate is 10%. Find the semiannual payments.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Semiannual means twice a years
2%2A10+=+20payments/ten years
The interest is .1%2A75000+=+7500
interest/number of payments = interest/payment
7500%2F20+=+375interest/payment
Let p = payment against principle /payment
%28p+%2B+375%29%2A20+=+75000+%2B+7500
20p+%2B+7500+=+75000+%2B+7500
20p+=+75000
p+=+3750
The semiannual payment is
p+%2B+375+=+3750+%2B+375
p+%2B+375+=+4125
The semiannual payment is $4,125 -answer
check:
4125%2A20+=+82500
This includes the 10% interest, so subtract it out
82500+-+7500+=+75000
That's the principle