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Need some math help with these log problems?
(e is the natural log base)
Please explain how to do the problems! I am completely lost.
103. The formula A = 18.9e ^0.0055t models the population of New York State, A, in millions, t years after 2000.
a. What was the population of New York in 2000?
b. When will the population of New York reach 19.6 Million?
104. The formula A = 15.9e ^0.0235t models the population of Florida, A, in millions, t years after 2000.
a. What was the population of Florida in 2000?
b. When will the population of New York reach 19.2 Million?
2 Answers
- Anonymous1 decade agoFavorite Answer
for 103):
A = 18.9exp(0.0055t)
t=year-2000;when the year is 2000 itself t=0;
so A=18.9exp(0) = 18.9millions
the pop... is required to reach 19.6==>19.6 = 18.9exp(0.0055t)
196/189=exp(0.0055t)
ln(196/189) = 0.0055t
==>t=6.6123 years so in the year 2006 and somewhere in the month no 6*12/10 = 7.2 after July ie in August the pop.. reaches that mark.
similarly repeat it for the q 104 also: the answeres are
a:15.9 mil
b: 2008 january
