dont solve by Excel

solve by table and geometric formula

like this :

QUESTION 4 A company purchased a quality control system for $46,340 which requires $7,435 per year maintenance fees for the first 5 years, after which the maintenance fees will increase by 12% per year for the upcoming 7 years. Determine the equivalent total present worth value of preached system during the 12 years operation at i- 15% per year. Example: Shifted Geometric Gradient (2) Pr = 7 Im 15% per year 9 10 11 12 13 Year HHH 1 Geoenetrie gradient $7000 $35,000 $17.331 125 increase per year Gradient starts between actual years 5 and 6; these are gradient years 1 and 2. P, is located in gradient year 0, which is actual year 4 ( H P= 7000(1-[(1 + 0.12)/(1+0.15)]/(0.15-0.12)} = $49,401 Move P, and other cash flows to year 0 to calculate P PT = 35,000 + 7000 (P/A, 15%, 4) + 49, 401(P/F, 15%, 4) = $83, 232 $7840