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Illusion [34]
3 years ago
13

The population of a town grows at a rate proportional to the population present at time t. The initial population of 50 increase

s by 15% in 10 years. What will be the population in 30 years? how fast is the population growing at t=30?
Mathematics
1 answer:
kobusy [5.1K]3 years ago
8 0
I have a solution here however there is a slight change in the given. The initial population is 500 instead of 50. By analyzing this solution, this could help you solve the problem on your own!

So the first part: "The population of a town grows @ a rate porportional to the pop. present @ time t." Means. 

<span>dP = A*P. Where P is the population at the time 't' and A is some constant (thus the 'proportional' part). </span>

<span>Then we've got: "the initial pop. of 500 increases by 15% in 10 years". Which means: </span>

<span>P(0) = 500 (This says Population at time 0 years, or initial population, equals 500) and P(10) = 500*1.15 = 575 (Population at time 10 years). 
</span>
I hope my guide has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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