Respuesta :

Answer:

The amount of money which should be deposited is $ 7316.627

Step-by-step explanation:

Given as :

Let the principal  = p

The interest rate compounded semiannually = 3 %

Time period = 3 years

The amount after three years = A = $ 8000

Now, Amount = Principal × [tex](1 +\frac{Rate}{2\times 100})^{2\times Time}[/tex]

Or,      $ 8000 = Principal × [tex](1 +\frac{3}{2\times 100})^{2\times 3}[/tex]

Or,      $ 8000 = p × [tex](\frac{203}{200})^{6}[/tex]

Or,      p = [tex]\frac{8000}{1.0934}[/tex]

∴         p = $ 7316.627  

Hence The amount of money which should be deposited is $ 7316.627 Answer