Respuesta :

gmany

Third answer

[tex]p\%=\dfrac{p}{100}\\\\4\%=\dfrac{4}{100}=0.04\\\\\text{Therefore the equation is:}\\\\\boxed{y=3000(1+0.04)^n}[/tex]

Why?

4% per year.

100% + 4% = 1 + 0.04

after the first year

[tex]y=3000(1+0.04)[/tex]

after the second year

[tex]y=3000(1+0.04)(1+0.04)=3000(1+0.04)^2[/tex]

after the third year

[tex]y=3000(1+0.04)^2(1+0.04)=3000(1+0.04)^3[/tex]

. . .

after the nth year

[tex]y=3000(1+0.04)^n[/tex]