A $25, 000 vehicle depreciates $1500 a year as it ages. Repair costs are $1500 per year. (a) Write formulas for each of the two linear functions at time t, value V(t), and repair costs to date C(t). Graph them. V (t) = 2500 – 1500 t C(t) =| 1500 t %3D $ (thousands) V (t). C(t)--------- 25 V(t) 20 15 10 C(t) t (years) 20 2. 4. 10 12 14 16 18 (b) One strategy is to replace a vehicle when the totalcost of repairs is equal to the current value. Find this time T. NOTE: Enter the exact answer, or round to three decimals places. T=8.34 years (c) Another strategy is to replace the vehicle when the value of the vehicle is some percent of the original value. Find the time T when the value is 6%. NOTE: Enter the exact answer, or round to three decimals places. T=15.667 уears
A $25, 000 vehicle depreciates $1500 a year as it ages. Repair costs are $1500 per year. (a) Write formulas for each of the two linear functions at time t, value V(t), and repair costs to date C(t). Graph them. V (t) = 2500 – 1500 t C(t) =| 1500 t %3D $ (thousands) V (t). C(t)--------- 25 V(t) 20 15 10 C(t) t (years) 20 2. 4. 10 12 14 16 18 (b) One strategy is to replace a vehicle when the totalcost of repairs is equal to the current value. Find this time T. NOTE: Enter the exact answer, or round to three decimals places. T=8.34 years (c) Another strategy is to replace the vehicle when the value of the vehicle is some percent of the original value. Find the time T when the value is 6%. NOTE: Enter the exact answer, or round to three decimals places. T=15.667 уears
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 60E
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