201k views
3 votes
A principal of $500 is invested in an account at 7% per year compounded annually. what is the total amount of money in the account after 5 years?

User Ominus
by
7.6k points

1 Answer

2 votes
Hello! The formula for compound interest is P(1 + r)^t. P = principal (initial amount), r = rate (interest rate), and t = time (years). Let's start by adding 1 to the interest rate. 7% is 0.07 in decimal form. 1 + 0.07 is 1.07. The amount of time is 5 years. We raise 1.07 to the 5th power. 1.07^5 is 1.402551731. This is a long decimal, but do not delete it from your calculator. Now, let's multiply that number by the principal, which is $500. When you multiply the decimal by 500, you get 701.2758654 or 701.28 when rounded to the nearest hundredth. There. The total amount of money in the account after 5 years is $701.28.
User Krasatos
by
7.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories