Answer:
The correct answer is (C) $401,302
Explanation:
To get how much the contest winner actually won, we have to calculate the amount receive at the end of each year discounted at this moment. Then, we added all the payments.
For example, the first payment in $200,000 at this moment, so we add $200,000.
At the end of the first year we receive $30,000, and the rate of discount is 8%
The formula of discount is P=A/ (1+r)ⁿ
A=Final amount
P= Principal
r= interest rate
n= time
Year 1 = A/ (1+r)ⁿ
=$30,000/1,08¹= 27777,77
Year 2 =$30,000/1,08²= 25720,16
Year 3=23814,96
Year 4=22050,89
Year 5=20417,49
Year 6=18905,08
Year 7=17504,71
Year 8=16208,06
Year 9=15007,46
Year 10=13895,80
Total 401302,44