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victus00 [196]
3 years ago
6

13. The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate the population after a per

iod of 5 years. Use the formula ƒ(t) = aert.
Mathematics
2 answers:
Kazeer [188]3 years ago
8 0

Given:

Initial population = 45,000

Decreasing rate = 2%

Time = 5 year

To find:

The population after a period of 5 years.

Solution:

Formula used:

f(t)=ae^{rt}

where, a is initial population, r is rate and t is time.

r=\dfrac{2}{100}=0.02

Decreasing rate represented by -0.02.

Substitute a=45000, r=-0.02 and t=5 in the above formula.

f(5)=45000e^{-0.02(5)}

f(5)=45000e^{-0.1}

f(5)=45000(0.904837418)

f(5)=40717.68381


Approximate the value to the previous integer.

f(5)\approx 40717


Therefore, the population after 5 years is 40717.

Evgesh-ka [11]3 years ago
5 0

Answer:

40,718

Step-by-step ex

The population of a city is currently 45,000 and is declining at a rate of 2% each year. Estimate the population after a period of 5 years. Use the formula ƒ(t) = aert. planation:

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