The exponential model A7512e0018t describes the populationA

The exponential model A=751.2e^0.018t describes the population,A, of a country in millions, t years after 2003. Use the model to determine when the population of the country will be 1096 million.
The exponential model A=751.2e^0.018t describes the population,A, of a country in millions, t years after 2003. Use the model to determine when the population of the country will be 1096 million.

Solution

A=751.2e^0.018t describes the population,A, of a country in millions, t years after 2003

A=751.2e^0.018t

A = 1096 mill , find t:

1096 = 751.2e^(0.018t)

1.459 = e^(0.018t)

take natural log on both sides\"

ln(1.459) = 0.018t

t = 20.98 years which means year 2024

The exponential model A=751.2e^0.018t describes the population,A, of a country in millions, t years after 2003. Use the model to determine when the population o

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