Answer:
a. $32,800
b. $37,019
c. $37,460
Explanation:
a. The computation of Total Amount Withdrawn by Alan when simple interest is shown below:-
Accumulated amount of money = Invested amount + (Rate of interest × Number of years)
= $20,000 + ($20,000 × 8% × 8)
= $32,800
b. The computation of Total Amount Withdrawn by Alan when annually Compounded is shown below:-
Accumulated amount of money = Invested amount × (1 + rate of interest)^Number of years
= $20,000 × (1 + 0.08)^8
= $20,000 × 1.85093
= $37,019
c. The computation of Total Amount Withdrawn by Alan when semi annually Compounded is shown below:-
Accumulated amount of money = Invested amount × (1 + rate of interest × Number of years ÷ 200)^16)
= ($20,000 × (1 + 0.08 × 8 ÷ 200)^16)
= $20,000 × 1.87298
= $37,460
Therefore we have applied the above formulas.