Question

The amount of revenue for a business can be modeled by the function B(t) = 1700(1.04) ^4t, Write an equivalent function of the form B(t) = ab^t . Round your final values to 4 decimal places.

Answer 1

Answer

$\begin{gathered} Given\text{ }B(t)=1700(1.04)^{4t} \\ By\text{ }indices \\ B(t)=1700(1.04^4)^t \end{gathered}$$\begin{gathered} B(t)=1700(1.16985856)^t \\ B(t)\cong1,700(1.1699)^t \end{gathered}$

Therefore, B(t) = 1700(1.1699)^t