Respuesta :

Given:

Cortez invests $2500 at a rate of 7.5%.

To find:

Her balance at the end of three years.

Solution:

Formula for amount:

[tex]A=P(1+\dfrac{r}{100})^t[/tex]

where, P is principal, r is rate of interest and t is time in years.

Putting P=2500, r=7.5 and t=3, we get

[tex]A=2500(1+\dfrac{7.5}{100})^3[/tex]

[tex]A=P=2500(1+0.075)^3[/tex]

[tex]A=2500(1.075)^3[/tex]

[tex]A=2500(1.242296875)[/tex]

[tex]A=3105.7421875[/tex]

[tex]A\approx 3105.74[/tex]

Therefore, her balance at the end of three years will be $3105.74.

Note: All options are incorrect.