Respuesta :

Simple Interest = PRT/100

P = $3000

R=4.5

T=5

substitute into the formula

[tex]\text{Simple Interest =}\frac{3000\times4.5\times5}{100}[/tex][tex]=675[/tex]

Simple interest = $675

Compound interest

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

P=3000

r = 0.045

n=1

t=5

[tex]A=3000(1+\frac{0.045}{1})^{1\times5}[/tex][tex]=3000(1.045)^5[/tex][tex]=3738.55[/tex]

A = P + I

3738.55 = 3000 + I

I = 738.5458

compound interest= $738.5458

But we were asked to find the difference between simple interest and compound interest

$735.5458 - $675 = $60.5458 ≈ $60.55