Suppose that you borrow $2000.00 from a friend and promise to pay back $3600.00 in 4 years. What simple interest rate will you pay?

Respuesta :

Simple Interest

The interest earned is calculated as follows:

I=P.r.t

Where:

I=Interest

P=initial principal balance

r=interest rate

t=time

If I borrow $2000 from a friend, that amount of money is the principal. P = $2000.

We agree to have him paid back $3600. This includes the principal and the interest, thus:

I = $3600 - $2000 = $1600

That amount of interest is earned in t=4 years.

From the formula above, we can solve for r as follows:

[tex]r=\frac{I}{P\cdot t}[/tex]

Substituting:

[tex]r=\frac{1600}{2000\cdot4}=\frac{1600}{8000}=0.2[/tex]

This means the interest rate is 20%