Question

3. The population P in thousands of a city can be modeled by the equation
P = 80e^0.015t, where t is the time in years. In how many years will the population of the city be 120,000?

Answer 1

Answer:

27 years

Step-by-step explanation:

P is measured in thosands therefore, P will have a value of 120

so it would be...

120=80e^0.015t

80e^0.015t=120

e^0.015t=120/80=3/2=1.5

e^0.015t=1.5

0.015t= In(1.5)

t=In(1.5)/0.015

∴ t≈27.03 round it to 27 years

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