Question

SHOW WORK:

Answer 1

Answer:

Expected population in 2015: 19,152.58 or 19,000 people

Step-by-step explanation:

Given the decreasing rate of 2.5% per year, and a population of 28,000 in the year 2000:

We can solve for the rate of decrease by using the formula:

$A = a(1 - r )^{t}$

where:

A = population by year 2015

a = initial population (in year 2000) = 28,000

r = rate of change (decrease by 2.5% annually or 0.025)

t = time (in number of years) = 15

Plug in these given values into the formula:

$A = a(1 - r )^{t}$

$A = 28,000(1 - 0.025 )^{15}$

$A = 28,000(0.975)^{15}$

A = 28,000(0.684)

A = 19,152.58 or about 19,000 people in 2015