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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