SOLUTION: Please help me. The answer I received was 38. The population N(t) (in millions) of India t years after 1985 may be approximated by the formula N(t) = 766e0.0182t. When will

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help me. The answer I received was 38. The population N(t) (in millions) of India t years after 1985 may be approximated by the formula N(t) = 766e0.0182t. When will       Log On


   

Question 855885: Please help me. The answer I received was 38.
The population N(t) (in millions) of India t years after 1985 may be approximated by the formula
N(t) = 766e0.0182t.
When will the population reach 1.7 billion? (Round your answer to one decimal place.)
Found 2 solutions by jim_thompson5910, KMST:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Note: 1.7 billion = 1000*1.7 million = 1700 million


N%28t%29+=+766%2Ae%5E%280.0182t%29


1700+=+766%2Ae%5E%280.0182t%29


1700%2F766+=+e%5E%280.0182t%29


2.21932114+=+e%5E%280.0182t%29


e%5E%280.0182t%29+=+2.21932114


0.0182t+=+ln%282.21932114%29


0.0182t+=+0.79720135


t+=+0.79720135%2F0.0182


t+=+43.8022719


t+=+43.8 Round to one decimal place


So in approximately 43.8 years from now

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
I agree with Jim, except I would say the the result t=43.8
means "43.8 years after 1985", whatever that may mean.
The beginning of 1985? The end?
44 years after 1985 is 1985%2B44=2029 .
Who cares? It's an estimate. Does it even make sense to project that far and give the answer with one decimal place?