I need help answering the following questions, please help <3

Question

QUESTION #1

The value of China's exports of automobiles and parts (in billions of dollars) is approximately  , where x = 0 corresponds to 1998.  In what year did/will the exports reach $8.6 billion?

QUESTION #2

According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million people. In addition, the population of the United States was growing at a rate of 1.1% per year. Assuming this growth rate is continues, the model

represents the population  (in millions of people) in year .

According to the model, when will the population be 419 million people? Be sure to round your answer to the nearest whole year.

QUESTION #3

The value of a car is depreciating according to the model 

 , where V is the value of the car t years after purchase.

Solve, using logarithms, for when the value of the car will reach $6,000.  Give your answer to the nearest tenth.

Answer 1

f(x) = 1.08208e^.3387x

8.6 = 1.08208e^.3387x

8.6/1.08208 = e^.3387x

lin(8.6/1.08208) = .3387x

x = ln(8.6/1.08208)/.3387 = 23.47 + 1998 = 2021.47 = about May 2022