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The population of a town is 81,712 and declines continuously at a rate of 4.1% each year. What is the approximate population of the town in 17 years?

A40,699
B24,759
C164,055
D40,105

Verified Answer :

dexteright02

Data:

P (Final population) = ?
Po (Initial population) = 81712
r (rate) = 4,1% = 0,041
t (time in years) = 17

\(P = Po - (Po*r*t)\)
\(P = 81712 -(81712*0,014*17)\)
\(P = 81712 - 56953.264\)
\(P =24758.736\)
\(\boxed{P \approx 24759}\)

Answer:
B) 24759

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