Answer:
$11,160.097
Explanation:
Data provided in the question:
Future value of machine = $44,309.00
Time, n = 16 years
Discount rate, r = 9.00% = 0.09
Now,
The amount Derek is will to pay will be the present value of the machine
Also,
we know
Future value = Present value × (1 + r)ⁿ
on substituting the respective values, we get
$44,309.00 = Present value × (1 + 0.09 )¹⁶
or
$44,309.00 = Present value × 3.97
or
Present value = $44,309.00 ÷ 3.97
or
Present value = $11,160.097