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Trava [24]
3 years ago
11

The student population at the University is currently 400. The expected annual rate of increase is predicted to be 0.02. What wi

ll the population be in five years? Round your answer to the nearest whole number.
Mathematics
1 answer:
kotegsom [21]3 years ago
8 0

Answer:

The population of the students at the University after 5 years is <u>442</u>.

Step-by-step explanation:

Given:

Current population of students is, P_o=400

Growth rate is, r=0.02

Time after which population is needed is, t=5\ years

Let 'P' be the population after 't' years.

Population growth is an exponential growth and the equation to determine the population after 't' years is given as:

P=P_oe^{rt}

Now, plug in 400 for P_o, 0.02 for 'r', 5 for 't' and solve for 'P'. This gives,

P=(400)e^{0.02\times 5}\\\\P=400\times e^{0.1}\\\\P=400\times 1.1052\\\\P=442

Therefore, the population of the students at the University after 5 years is 442.

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