Answer:
$12,800.85
Step-by-step explanation:
Use the FV formula ; FV= PV(1+r) ^t
r = discount rate = 5%/2 = 2.5% or 0.025 as a decimal
t = total duration of investment = 5 *2 = 10 since it's semiannual compounding
PV = Amount deposited in present value terms = $10,000
FV = 10,000* (1+0.025)^10
FV = 10,000 *1.2800845
FV = 12,800.845
Therefore, Sarah will have $12,800.85 in 5 years.