Question

Which of these statements is true?
O Simple interest percentages must be lower than compound interest percentages
O Compound interest will lead to a larger sum of money than a comparable simple interest payment
O Simple interest payments equal compound interest payments if invested over 10 years
all of these

Answer 1

Answer:

Compound interest will lead to a larger sum of money than a comparable simple interest payment.

Explanation:

The true statement is that compound interest will lead to a larger sum of money than a comparable simple interest payment because the interest are compounded for a certain number of times such as daily, weekly, quarterly or annually while simple interest isn't compounded at all.

To find the future value, we use the compound interest formula;

$A = P(1 + \frac{r}{n})^{nt}$

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Mathematically, simple interest is calculated using this formula;

$S.I = \frac {PRT}{100}$

Where;

S.I is simple interest.

P is the principal.

R is the interest rate.

T is the time.