SOLUTION: There are currently 74 million cars in a certain country, decreasing by 4.3% annually. How many years will it take for this country to have 46 million cars? (Round to the nearest y
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Question 313808: There are currently 74 million cars in a certain country, decreasing by 4.3% annually. How many years will it take for this country to have 46 million cars? (Round to the nearest year.) Use the exponential growth model P(t) = P0e^kt Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! There are currently 74 million cars in a certain country, decreasing by 4.3% annually. How many years will it take for this country to have 46 million cars? (Round to the nearest year.)
Use the exponential growth model P(t) = Poe^(kt)
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Find "k":
46 mil = 74 mil*e^(-0.043t)
e^(-0.043t) = 0.6216
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Take the ln of both sides and solve for "t":
-0.043t = -0.4754
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t = 11.06 years
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Cheers,
Stan H.
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