SOLUTION: The population of a city is 480,000 and is increasing at a rate of 4.25​% each year. Approximately when will the population reach 960,000? (Use a compound growth​ model

Algebra ->  Rate-of-work-word-problems -> SOLUTION: The population of a city is 480,000 and is increasing at a rate of 4.25​% each year. Approximately when will the population reach 960,000? (Use a compound growth​ model      Log On


   



Question 1109395: The population of a city is 480,000 and is increasing at a rate of 4.25​% each year. Approximately when will the population reach 960,000? (Use a compound growth​ model.)
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
960000=480000 x (1.0425)^t where t represents the time, in years. So:
960000/480000=1.0425^t
ln 2=ln 1.0425^t=t ln 1.0425
ln 2/ln 1.0425=t
t=16.654 years
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