A city starts with a population of 500,000 people in 2007. Its population declines according to the equation P(t) = 500,000e -0.099
where P is the population in t years later. Approximately when will the population be one-half the initial amount?

After 7 years the population will be one-half the initial amount.

Step-by-step explanation:

Given: Initial population = 500,000

The population declines according to the equation:

, where P is the population in t years later.

One-half the initial amount = 0.5 x 500,000

= 250,000

Put P(t)=250,000, we get

Hence, After 7 years the population will be one-half the initial amount.

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step-by-step explanation: