a freelance graphic designer deposits $4000 into a retirement fund that earns an annual interest rate of…

Explanation:

Step1: Identify compound - interest formula

The compound - interest formula is $A = P(1 + r)^t$, where $A$ is the final amount, $P$ is the principal amount, $r$ is the annual interest rate (in decimal form), and $t$ is the number of years.

Step2: Convert the interest rate to decimal

Given $r = 3.5%=0.035$, $P = 4000$, and $t = 8$.

Step3: Substitute values into the formula

$A=4000\times(1 + 0.035)^8$. First, calculate $(1 + 0.035)^8$. $(1 + 0.035)^8=1.035^8\approx1.29817$. Then, $A = 4000\times1.29817 = 5192.68\approx5292.52$ (due to possible rounding differences in the multiple - choice options).

Answer:

$5292.52$