# Math

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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 -

36 = 29 e^(9k)
1.24138 = e^(9k)
9k = ln (1.24138)
k = ln (1.24138)/9
= ....

• Math -

36M=29M*e^k9

take the ln of each side.
ln(36)=ln29+ 9k
k= (ln(36/29)) /9

• Math -

Thank you again! Both of u. much appreciated

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