Tyra invests $\$ 5100$ in a new savings account which earns $4.8 \%$ annual interest, compounded quarterly. What will be the value of her investment after 2 years? Round to the nearest cent. Answer How to enter your answer (opens in new window) 2 Points Keypad Keyboard Shortcuts

Step 1 ：Given values are: Principal amount \(P = \$ 5100\), Annual interest rate \(r = 4.8 \% = 0.048\) in decimal, Number of times interest is compounded per year \(n = 4\), and Time in years \(t = 2\).

Step 2 ：We calculate the future value using the compound interest formula \(A = P \times (1 + r/n)^{n \times t}\).

Step 3 ：Substitute the given values into the formula, we get \(A = 5100 \times (1 + 0.048/4)^{4 \times 2}\).

Step 4 ：Calculate the above expression to get the future value of the investment.

Step 5 ：The future value of the investment is \$ 5610.66.

Step 6 ：Round the future value to the nearest cent, we get \$ 5610.66.

Step 7 ：Final Answer: The value of Tyra's investment after 2 years will be \(\boxed{\$ 5610.66}\).