maggie has $2,674 in an account that earns 5%...

# Explanation: ## Step1: Identify compound - interest formula The compound - interest formula is $A = P(1 + r)^t$, where $P$ is the principal amount, $r$ is the annual interest rate (in decimal form), and $t$ is the number of years. Here, $P=\$2674$, $r = 0.05$ (since $5\%=0.05$), and $t = 2$. ## Step2: Calculate the amount after 2 years $A=2674\times(1 + 0.05)^2=2674\times(1.05)^2=2674\times1.1025=\$2948.085$. ## Step3: Calculate the interest earned The interest earned $I=A - P$. So, $I = 2948.085-2674=\$274.085$. ## Step4: Round to the nearest cent Rounding $274.085$ to the nearest cent gives $\$274.09$. # Answer: $274.09$