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Question no. 56428

A town grows at 4% annually but loses (1/2)% to emigration each year. What is the percentage growth over three years?

Select your answer for: A town grows at 4% annually but loses (1/2)% to emigration each year. What is the percentage growth over three years?
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Answer: D. 10.8

Explanation

Calculating net annual growth requires subtracting the emigration loss percentage from the town growth rate. Subtracting zero point five percent from four percent yields a net annual growth rate of three point five percent. Compounding three point five percent annual growth over three successive years totals approximately ten point eight percent. Net population growth combines natural birth and immigration rates minus emigration and mortality loss rates. Compound growth formulas apply annual percentage multipliers sequentially over multiple distinct time periods. Decimal approximations provide accurate percentage growth figures for multi-year demographic projection models.

City planners project municipal infrastructure demands by calculating net urban migration and natural population growth rates. Economists forecast regional labor force expansion by balancing gross job creation against structural unemployment losses. Ecologists model wildlife population dynamics by factoring annual birth rates against environmental emigration rates. Option A suggests nine point eight which underestimates compound growth calculations over three years. Option B suggests ten which represents a rough approximation rather than precise compound calculation results. Option C suggests ten point five which results from failing to compound growth rates accurately across years.

Subject
Mathematics
Category
Mathematics
Topic
—
Difficulty
medium

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