Answer:
So, approximately, China's exports of automobiles and parts reach $12.3 billions in the year 2065.
Step-by-step explanation:
Given:
f(x) = [tex]1.8208e^{0.3387x}[/tex]
x = 0 corresponds to 1998
We need to find when it achieve $12.3 billions export.
12.3 billions = 12,300,000,000
Now plug f(x) = 12,300,000,000
12,300,000,000 = [tex]1.8208e^{0.3387x}[/tex]
Dividing both sides by 1.8208, we get
6,755,272,407.7 = [tex]e^{0.3387x}[/tex]
Taking "ln" both sides, we get
ln(6,755,272,407.7) = 0.3387x
22.6335891344 = 0.3387x
Dividing both sides, by 0.3387
x = 66.82
When we round off to the nearest whole number, we get
x = 67 years
So, approximately, China's exports of automobiles and parts reach $12.3 billions in the year 2065 (1998 + 67).
