Final answer:
The value of Tessa's investment after eight years is approximately $6648.05.
Step-by-step explanation:
To find the value of Tessa's investment after eight years, we can use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years. In this case, P = $5600, r = 4%, n = 2 (compounded semi-annually), and t = 8. We can plug in these values to calculate the final amount:
A = 5600(1 + 0.04/2)^(2*8) = $6648.05
Therefore, the value of Tessa's investment after eight years will be approximately $6648.05.