## anonymous 5 years ago In 1967 car valued at $800; in 2006 valued at$27000. find the exponential growth? I think it is 1/39 In 27000/800

1. anonymous

Correct, $27000 = 800e^{39r}$$\frac{27000}{800} = e^{39r}$$\log{\frac{27000}{800}} = 39r$$\frac{1}{39} \log{\frac{27000}{800}} = r$

2. anonymous

with the same information as above i have 2 questions. a. Estimate teh value of the car in 2008? b. After how long will the value of the car be \$40,000 (assuming that there is no change in the growth rate.