Solve for x 20 1002 e05x x A In B Select which of the fol

Solve for x: 20 = 100/2 + e^0.5x x = A In (B) Select which of the following equations can be used to model the following situation. A car is purchased for $20,000 and depreciates 12% every year. What is the value of the car after 5 years? A(t) = 20,000 (1 - .12)^t where A(t) = 5 A(t) = 20,000 (.12)^t where t = 5 A (t) = 20,000 (1 + .12)^t where t = 5 A(t) = 20,000(1 - .12)^t where t = 5 A(t) = 20,000 (1 + .12)^t where A (t) = 5

Solution

11) 20 = 100/(2 + e^0.5x)

2 + e^0.5x = 5

e^0.5x = 3

0.5x = ln3

x = 2.197

A = 2

B = 3

12) Equation is

V(5) = 20000*0.88^5 = $10554.64

Option D)

V(t) = 20000*0.88^t