The population of a city is currently 45,000 and is declining at a rate of 2% each year. Give a formula for determining the total population after a period of t years. Question 4 options:

A)

A = (45,000)e–0.02t

B)

A = 45,000 + e–0.02t

C)

A = (45,000)e0.02t

D)

A = 45,000 + e0.02t

Step-by-step explanation:

The general form of this equation is

where P is the initial population, e is Euler's number (a constant), r is the rate of decay, and t is the time in years.

Therefore, filling in:

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

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step-by-step explanation: