Answer:
P = 700 (P/F, 10%, 1) + 7,000 (P/F, 10%, 4) ........ (2nd option)
Explanation:
This question is related to Uniform Series Present Worth.
General equation for USPW is
P = F (P/F, i, n)
Where,
P = Present worth
F = Uniform arithmetic series value
P/F = Uniform series present worth factor
i = Interest rate
n = Number of years (Note: n is not given in question, it can be derived form given equation for F1 n = 1 and for F2 n = 4)
Lets solve for F1. Where F1 = 700, i = 10% and n = 1
P = 700 (P/F, 10%, 1) ........................ eq (1)
Now solve for F2. Where F2 = 7,000, i = 10% and n = 4
P = 7,000 (P/F, 10%, 4) .......................... eq (1)
By combining these 2 equations we get
P = 700 (P/F, 10%, 1) + 7,000 (P/F, 10%, 4) ................... Answer.