The exponential growth of the deer population in the country can be calculated using the model   T=30,000(1+.05)n   where 30,000is the initial deer population and .05 is the rate of growth. T is the total population after n years have passed.   ​(a) Predict the total population after 5yr.

Algebra and Trigonometry (MindTap Course List)
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Author:James Stewart, Lothar Redlin, Saleem Watson
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Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 11CT
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The exponential growth of the deer population in the country can be calculated using the model
 
T=30,000(1+.05)n
 
where 30,000is the initial deer population and .05 is the rate of growth. T is the total population after n years have passed.
 
​(a) Predict the total population after 5yr.
​(b) If the initial population was 10,000 and the growth rate was .12​, approximately how many deer would be present after 4 ​yr?
c) How many additional deer can we expect in 2 yr if the initial population is 45,000 and the current growth rate is .06​?
​(Round to the nearest thousand as​ needed.)
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