Step 1 :Given values are initial deposit \(P = \$4200\), annual interest rate \(r = 0.84\% = 0.0084\) in decimal, number of times interest is compounded per year \(n = 12\), and time in years \(t = 5\).
Step 2 :Calculate the future value using the formula \(FV = P \times (1 + r/n)^{n \times t}\). Substituting the given values, we get \(FV = 4200 \times (1 + 0.0084/12)^{12 \times 5} = \$4380.09\).
Step 3 :Calculate the profit by subtracting the initial deposit from the future value. So, profit = \(FV - P = \$4380.09 - \$4200 = \$180.09\).
Step 4 :Round the profit to the nearest cent to get \$180.09.
Step 5 :Final Answer: The profit earned when you redeem the CD in 5 years is \(\boxed{\$180.09}\).