Answer: $3,580.30 (converted to 2decimal places).
Antwone need to deposit " $3,580.30008” into the account each semi-annual period in order to take his vacation in 2 years
Explanation:
By using compound interest formula below to solve the question
A = p ( 1 + r/n)^nt
A = amount (future value)= $3,800
P = principal (present value) ?
r = annual nominal rate = 3%= 0.03
n = today number of compounding years = semiannually (2 interest payments period in a year) = 2
t = time in years =2
3,800 = p ( 1 + 0.03/2)^2(2)
3,800 = p ( 1 + 0.015 )^4
3,800 = p ( 1.015 ) ^4
3,800 = 1.06136355 p
divide both sides by 1.06136355
p = 3,800 / 1.06136355
p = $3,580.30008
≈$3,580.30 ( rounded off to 2d.p)
