Saturday

April 18, 2015

April 18, 2015

Posted by **Anonymous** on Saturday, April 17, 2010 at 8:54pm.

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 9:02pm36 = 29 e^(9k)

1.24138 = e^(9k)

9k = ln (1.24138)

k = ln (1.24138)/9

= ....

- Math -
**bobpursley**, Saturday, April 17, 2010 at 9:03pm36M=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 9:09pmThank you again! Both of u. much appreciated

**Answer this Question**

**Related Questions**

Calculus - The population of a region is growing exponentially. There were 40 ...

Algebra 2 - A country's population in 1991 was 15 million. In 2001 it was 16 ...

MATH - A table of the U.S. population in millions indicated in 1960 the ...

Math - Suppose that a country's population is 64 million and its population ...

Math - Suppose that a country's population is 64 million and its population ...

algebra - In 1990, the population of Africa was 643 million and by 2000 it had ...

calculus - The population of a country was 8.4 million people in 2000. Three ...

Calc - Year 1940 1950 1960 1970 1980 Rate of change (million people per year) 29...

calculus - please help me Asap In 1970, the total enrollment in public ...

Math - Suppose that a country's population is 64 million and its population ...