12.11_Wed_aqr3

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt) where A is the amount of money accumulated after n years, including interest. P is the principal amount (the initial amount of money), r is the annual interest rate (decimal), n is the number of times that interest is compounded per year, and t is the number of years the money is invested or borrowed.

Front

Define principal in the context of loans and investments.

Back

Principal is the original sum of money borrowed or invested, excluding any interest or profits.

Front

What does it mean for interest to be compounded annually?

Back

Compounding annually means that the interest is calculated and added to the principal once per year.

Front

How does compounding frequency affect the total amount of interest earned?

Back

The more frequently interest is compounded, the more interest will be earned on the principal, leading to a higher total amount.

Front

Calculate the total amount to be paid back for a loan of $59,000 at 11% interest compounded annually for 2 years.

Back

$72,693.90

Front

What is the future value of an investment of $999 at an interest rate of 5.45% compounded quarterly for 19 years?

Back

$2794.10

Front

If Karla invests $1,000 at 6.75% interest compounded semi-annually for 15 years, what will be the total amount earned?

Back

$2,706.86

Front

What is the future account balance for Courtney who saved $2,200 at 5.2% interest compounded daily for 4 years?

Back

$2708.63

Front

Define the term 'compounded monthly'.

Back

Compounded monthly means that interest is calculated and added to the principal every month.

Front

What is the future value of a principal of $5000 at an interest rate of 3.75% compounded monthly for 25 years?

Back

$12,749.30