SOLUTION: Could someone please help explain how to solve for the years:
The population of a small town is modeled by the equation
P = 1650e^0.5t where t is measured in years. In appro
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The population of a small town is modeled by the equation
P = 1650e^0.5t where t is measured in years. In appro
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Question 1129295: Could someone please help explain how to solve for the years:
The population of a small town is modeled by the equation
P = 1650e^0.5t where t is measured in years. In approximately how many years will the town's population reach 20,000? (Round your answer to two decimal places.)
You can put this solution on YOUR website! The population of a small town is modeled by the equation
P = 1650e^0.5t where t is measured in years. In approximately how many years will the town's population reach 20,000? (Round your answer to two decimal places.)
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Solve for "t"::
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20,000 = 1650*e^(0.5t)
e^(0.5t) = 12.12
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Since the variable is in the exponent, take the ln of both sides to get:
0.5t = ln(12.12) = 2.495
t = 4.99 years
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Cheers,
Stan H.
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You can put this solution on YOUR website! Thank you so so much for explaining how to correctly solve this, and future problems alike. It is greatly appreciated!