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 2
For the Silver Junction arterial overlay, a resident engineer preparing a commissioning data review compounds a present cost of $51000 using a future-worth factor (F/P, i, n) = 1.62. What future cost is estimated?
- A$82620
- B$51919
- C$68026
- D$92150
Show the answer and worked solution
Answer: A — $82620
Worked solution
- Step 1. Apply future-worth factor
F = P(F/P,i,n)
- Step 2. Substitute values
F = 51000(1.62) = 82620
Why the other choices are wrong
- Choice D
- This future cost sits about $37179 above the correctly compounded $82620, which does not come from one identifiable slip in F = P * (F/P,i,n); multiply the $51000 present cost by the stated 1.62 factor exactly once instead of adding extra compounding.
- Choice B
- This total lands about $14872 above the verified $82620 without matching a single specific misstep in the compounding step; apply the given 1.62 factor to the $51000 present cost exactly as stated rather than a larger multiplier.
- Choice C
- This future cost falls about $18176 short of the correctly compounded $82620 and is not explained by one clean arithmetic slip; multiply the full $51000 present cost by the stated 1.62 factor rather than a reduced version of it.