A new company has 1 employee. The number of employees doubles each month. How many employees will there be after 8 months?
Options
A
128
B
256
C
512
D
1280
Answer & Analysis
Answer
B
Analysis
1. Determine the number of doubling periods:
Since the number of employees doubles each month and we want to know the number of employees after 8 months, the number of doubling periods is equal to the number of months, which is .
2. Use the exponential growth formula:
The formula for exponential growth in this case is , where:
is the final number of employees.
is the initial number of employees. Here, .
is the number of doubling periods, which is
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