Original question written by FE Exam AI Prep from the public FE Civil exam specification. Before release, a solver model re-derived the answer twice from the question alone, without its answer key, and a critic model checked the result, and the arithmetic was re-run as an executable calculation. No licensed engineer reviews these questions. It is not an NCEES question and does not come from any NCEES practice exam. FE Exam AI Prep is an independent study tool and is not affiliated with, endorsed by, or sponsored by NCEES.
Future Worth of a Single Payment: FE Civil practice problem 1
For the Iron Ridge concrete-lined channel, a hydrology reviewer preparing a capacity verification worksheet compounds a present cost of $47500 using a future-worth factor (F/P, i, n) = 1.55. What future cost is estimated?
- A$45700
- B$73625
- C$62445
- D$64714
Show the answer and worked solution
Answer: B — $73625
Worked solution
- Step 1. Apply future-worth factor
F = P(F/P,i,n)
- Step 2. Substitute values
F = 47500(1.55) = 73625
Why the other choices are wrong
- Choice A
- This future cost sits about $33131 above the correctly compounded $73625, which does not come from one identifiable slip in F = P * (F/P,i,n); multiply the $47500 present cost by the stated 1.55 factor exactly once instead of adding extra compounding.
- Choice C
- This total lands about $13253 above the verified $73625 without matching a single specific misstep in the compounding step; apply the given 1.55 factor to the $47500 present cost exactly as stated rather than a larger multiplier.
- Choice D
- This future cost falls about $16197 short of the correctly compounded $73625 and is not explained by one clean arithmetic slip; multiply the full $47500 present cost by the stated 1.55 factor rather than a reduced version of it.