Posted by Anonymous on Saturday, April 17, 2010 at 8:54pm.
Solve.
The population of a particular country was 29 million in 1980; in 1989, it was 36 million. The exponential growth function A=29e^kt describes the population of this country t years after 1980. Use the fact that 9 years after 1980 the population increased by 7 million to find k to three decimal places.

Math  Reiny, Saturday, April 17, 2010 at 9:02pm
36 = 29 e^(9k)
1.24138 = e^(9k)
9k = ln (1.24138)
k = ln (1.24138)/9
= ....

Math  bobpursley, Saturday, April 17, 2010 at 9:03pm
36M=29M*e^k9
take the ln of each side.
ln(36)=ln29+ 9k
k= (ln(36/29)) /9

Math  Anonymous, Saturday, April 17, 2010 at 9:09pm
Thank you again! Both of u. much appreciated
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