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0.44/1 points 1 Previous Answels LarCalc11 5.5 088 fter t years, the value of a

ID: 2884404 • Letter: 0

Question

0.44/1 points 1 Previous Answels LarCalc11 5.5 088 fter t years, the value of a car purchased for $22,000 Is given below. vr)-22,003) (a) Use a graphing utility to graph the function and determine the value of the car 4 years after it was purchased. (Round your answer to two decimal placs) 4) 434568X (b) Find the rates of change of V with respect to t when t 1 and t 6.(Round your answers to two decimal places.) At t-1 Att-01. (c) Use a graphing utility to graph Vt) and determine the horizontal asymptote of V Horizontal asymptote: V As the car ages, it is worth lesseach year and depreciates (lesseach year, but the value of the car (il nevorreach So Need Help? eTalkto Tter

Explanation / Answer

V(t) = 22000(2/3)t

V(4)= 22000(2/3)4=$4345.68

b. V'(t)= 22000(2/3)tlog(2/3)

V'(1)= 22000(2/3)log(2/3)= -2582.67

V'(6) = 22000(2/3)6log(2/3)=-340.10