Q:

La Quintas population is about 954,000 and is decreasing at an annual rate of 0.1% Predict the population in 50 years

Accepted Solution

A:
Answer:907,450Step-by-step explanation:This is a problem of exponential decay. The population is decreasing at 0.1% per year.The formula to figure this out is Β [tex]A=P(1+r)^t[/tex]WhereA will be the future population (after 50 years)P is the initial population (which is 954,000)r is the rate of decrease (which is -0.1% or -0.001)t is the time in years (which is 50)Plugging these information into the formula and figuring out A will give us the answer. Shown below:[tex]A=P(1+r)^t\\A=954,000(1-0.001)^{50}\\A=954,000(0.999)^{50}\\A=907,450.17[/tex]Since fractional/decimal population is not feasible, we round it off.The population in 50 years would be around 907,450