[tex]C(t)=8000(1.004)^{12t}+960t[/tex]
Our first function, b(t), is given by:
[tex]\\b(t)=p(1+\frac{r}{12})^{12t}
\\
\\b(t) = 8000(1+\frac{0.043}{12})^{12t}
\\
\\=8000(1+0.004)^{12t} = 8000(1.004)^{12t}[/tex]
Our second function, h(t), is given by:
h(t) = 80(12t) = 960t
Together, we have
C(t) = b(t) + h(t)
[tex]C(t)=8000(1.004)^{12t}+960t[/tex]
