Note: When solving for k, round to four decimals places * *

A country population in 1994 was 195 million. In 2002 it was 199 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million.

P=Ae^kt

Question

Mathematics

Erica

7 May, 01:51

Note: When solving for k, round to four decimals places * *

A country population in 1994 was 195 million. In 2002 it was 199 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million.

P=Ae^kt

+5

Answers (1)

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Sherlyn Page · Answer 1

First we find k by using the two values given:

P=Ae^ (kt), 8 years between-->t=8

199 = 195•e^ (8k)

Log 199 = Log [195•e^ (8k) ]

Log 199 = Log 195 + 8k

8k = Log 199 - Log 195

k = 0.00882/8 =.0011

Next, we plug the new data in using this k:

14 years between 2002-2016-->t=14

P = Ae^my

P = 199mi.•e^ (14•.0011)

P = 199mi.•e^ (.0154)

P = 199mi. • 1.0155 = 202,088,000

Note: When solving for k, round to four decimals places * *A country population in 1994 was 195 million. In 2002 it was 199 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million.P=Ae^kt

Note: When solving for k, round to four decimals places * *

A country population in 1994 was 195 million. In 2002 it was 199 million. Estimate the population in 2016 using the exponential growth formula. Round your answer to the nearest million.

P=Ae^kt