Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 6 - Percent - 6.8 Compound Interest - 6.8 Exercises - Page 454: 30

Answer

The compound amount is the sum of the original principal and the total accumulated interest. The interest is the difference between the compound amount and the original principal.

Work Step by Step

The compound amount is the sum of the original principal and the total accumulated interest. The interest is the difference between the compound amount and the original principal. For example, if a principal of $\$1000$ has an interest rate of 10% and is compounded over two years, then the compound amount is found thus: We use the interest formula (P=1000, r=0.1, t=1): $I=Prt$ And apply it to each of the 2 years, adding the previous year's interest to the principal each time. Year 1: $I=1000*0.10*1=100$ Year 2: $I=(1000+100)*0.10*1=110$ Thus the total compound amount is: $1000+100+110=\$1210$ The total interest is: $100+110=\$210$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.