Explanation

After the first year, the interest earned is $500 x 6% = $30, making the total amount $500 + $30 = $530.

In the second year, the interest is calculated on the new principal balance of $530, resulting in $530 x 6% = $31.80.

Adding this interest to the principal, we get $530 + $31.80 = $561.80.

Explanation

Simple interest does not take into account the frequency of compounding.

As it is calculated only on the principal amount and does not consider any interest accrued over time.

Explanation

The interest earned per year is $2000 x 4% = $80.

Since the investment is for 3 years.

The total interest earned is $80 x 3 = $240.

Explanation

APR stands for Annual Percentage Rate.

It is the interest rate charged on a loan or credit product over a year.

Including fees and other costs, expressed as a percentage of the loan or credit amount.

Explanation

The principal is the initial amount of money borrowed or invested.

It serves as the basis for calculating interest.

It is the original sum of money before any interest is earned or paid.

Explanation

The longer the investment period, the more time the interest has to compound and grow.

It resulting in a greater amount of compound interest earned.

This means that a longer investment period will yield a higher return on investment.

Explanation

When interest is compounded more frequently, the interest earned increases.

Because the interest is calculated and added to the principal more often.

It creating a snowball effect that leads to higher earnings over time.

Explanation

Compound interest: Interest on both principal and accrued interest, resulting in exponential growth.

Compound interest is earned on the initial principal and the accumulated interest from previous periods.

Explanation

When interest is compounded quarterly, the interest is calculated and added to the principal every quarter.

In this case, the interest rate is 5% per year, which is equivalent to 1.25% per quarter.

After one year, the total interest earned would be $51.16, making the final amount $1000 + $51.16 = $1051.16.

Explanation

The formula that represents compound interest is: P(1 + r/n)^(nt)

This formula calculates the future value of an investment or loan.

It taking into account the principal amount (P), interest rate (r), time (t), and compounding frequency (n).