Question 6507
sorry to butt in, but this is the wrong answer --> the f(t) is measured in millions of years, so f(t) is actually 14, not 14,000,000. Put 14 in the working, follow it through as below and you get t = 122.3 years, so in 1990+123 = 2113.
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In order to answer this problem, simply let the function equal to 14 million. In other words:

1) 14'000'000=9.7e^(0.003*t)
2) Divide by 9.7 on both sides: 1443298.969=e^(0.003*t)
3) Take the natural log of both sides to get rid of the e^: ln(1443298.969)=.003*t
4) Divide by .003 on both sides to give you the answer: t=4727.48 years

Hope this helps.
Regards,
-Mike