Question

9. The function f(x) = 6,000(1.04)* models the value of an investment afterx years. What is the approximate value of the investment after 6months?A $6,119C. $7,300B. $6,143D. $7,592

Answer 1

Since 6 months is equal to 0.5 years, evaluate the function at x=0.5 to find the value of the investment after 6 months:

`\begin{gathered} f\mleft(x\mright)=6000\left(1.04\right)^x \\ \\ \Rightarrow f\mleft(0.5\mright)=6000\left(1.04\right)^(0.5)=6118.82...\approx6119 \end{gathered}`

Therefore, the value of the investment after 6 months is approximately $6119. The correct choice is option A) $6,119.