The exponential model A = 795.5 e^(0.0071) 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 934 million.

atestiguoki

atestiguoki

Answered question

2022-08-03

The exponential model A = 795.5 e 0.007 t describes the population.

Answer & Explanation

Brennan Parks

Brennan Parks

Beginner2022-08-04Added 14 answers

A = 795.5 e 0.007 t
Population in 2003 will be
A = 795.5 e 0 = 795
We will solve the exponential model for A=934
934 = 795.5 e 0.007 t e 0.007 t = 934 795.5 e 0.007 t = 1.174
applying log both side
ln e 0.007 t = ln 1.174 0.007 t = ln 1.174 0.007 t = 0.1605 t = 0.1605 0.007 = 22.929Approximately t=23 years

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?